A finite element formulation for a geometrically exact Kirchhoff–Love beam based on constrained translation View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2019-03-29

AUTHORS

Matthias Schulz, Markus Böl

ABSTRACT

In this contribution, a new finite-element formulation of a geometrically exact Kirchhoff–Love beam, which requires C0-continuity and is capable of handling large-deformation problems that involve initially curved structures with arbitrary cross-sections, is presented. The absence of shear deformation that characterizes the Kirchhoff–Love beam is enforced by restricting the translation of the centerline to an axial displacement. Consequently, the configuration space has one translational and three rotational degrees of freedom everywhere along the beam, except for an arbitrary material point on the centerline whose position in space is defined by a total of 6 degrees of freedom. In addition, two different orthogonal transformation interpolation strategies are introduced and implemented. One of the interpolation schemes results in a novel mixed two-field variational principle, where the rotations and the axial strain are interpolated. In the second approach, the tangent field itself and a local twist parameter are discretized. In appropriate numerical examples, objectivity, path-independence, locking phenomena, error convergence behavior, and general performance of the Kirchhoff–Love beam are investigated and compared to other beam formulations. More... »

PAGES

1-21

References to SciGraph publications

  • 2017-10. Nonlinear, three-dimensional beam theory for dynamic analysis in MULTIBODY SYSTEM DYNAMICS
  • 2008-08. A comparison of finite elements for nonlinear beams: the absolute nodal coordinate and geometrically exact formulations in MULTIBODY SYSTEM DYNAMICS
  • 2002-12. Dynamics of Geometrically Nonlinear Rods: I. Mechanical Models and Equations of Motion in NONLINEAR DYNAMICS
  • 2010-09. Simulation of the mechanical behaviour of woven fabrics at the scale of fibers in INTERNATIONAL JOURNAL OF MATERIAL FORMING
  • 2009-06. A frame-invariant scheme for the geometrically exact beam using rotation vector parametrization in COMPUTATIONAL MECHANICS
  • 1996-10. A finite element approach to the chaotic motion of geometrically exact rods undergoing in-plane deformations in NONLINEAR DYNAMICS
  • 2011-10. A new locking-free formulation for planar, shear deformable, linear and quadratic beam finite elements based on the absolute nodal coordinate formulation in MULTIBODY SYSTEM DYNAMICS
  • 2011-08. On the Bending and Stretching Elasticity of Biopolymer Filaments in JOURNAL OF ELASTICITY
  • 1988-03. On a consistent theory, and variational formulation of finitely stretched and rotated 3-D space-curved beams in COMPUTATIONAL MECHANICS
  • 2012-06. Elastic properties of cellulose nanopaper in CELLULOSE
  • 1995. Nonlinear Problems of Elasticity in NONE
  • 2004-07. The interpolation of rotations and its application to finite element models of geometrically exact rods in COMPUTATIONAL MECHANICS
  • 1981-11. On finite deformations of space-curved beams in ZEITSCHRIFT FÜR ANGEWANDTE MATHEMATIK UND PHYSIK
  • 2012-02. A quaternion-based formulation of Euler–Bernoulli beam without singularity in NONLINEAR DYNAMICS
  • 2003-05. Multiplicative updating of the rotation tensor in the finite element analysis of rods and shells – a path independent approach in COMPUTATIONAL MECHANICS
  • 1972-09. On one-dimensional finite-strain beam theory: The plane problem in ZEITSCHRIFT FÜR ANGEWANDTE MATHEMATIK UND PHYSIK
  • 2003-10. Description of Elastic Forces in Absolute Nodal Coordinate Formulation in NONLINEAR DYNAMICS
  • 2016. A Lie Algebra Approach to Lie Group Time Integration of Constrained Systems in STRUCTURE-PRESERVING INTEGRATORS IN NONLINEAR STRUCTURAL DYNAMICS AND FLEXIBLE MULTIBODY DYNAMICS
  • 2002-12. Dynamics of Geometrically Nonlinear Rods: II. Numerical Methods and Computational Examples in NONLINEAR DYNAMICS
  • Journal

    TITLE

    Computational Mechanics

    ISSUE

    N/A

    VOLUME

    N/A

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s00466-019-01698-z

    DOI

    http://dx.doi.org/10.1007/s00466-019-01698-z

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1113104866


    Indexing Status Check whether this publication has been indexed by Scopus and Web Of Science using the SN Indexing Status Tool
    Incoming Citations Browse incoming citations for this publication using opencitations.net

    JSON-LD is the canonical representation for SciGraph data.

    TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT

    [
      {
        "@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json", 
        "about": [
          {
            "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0905", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Civil Engineering", 
            "type": "DefinedTerm"
          }, 
          {
            "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/09", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Engineering", 
            "type": "DefinedTerm"
          }
        ], 
        "author": [
          {
            "affiliation": {
              "alternateName": "Braunschweig University of Technology", 
              "id": "https://www.grid.ac/institutes/grid.6738.a", 
              "name": [
                "Institute of Solid Mechanics, Technische Universit\u00e4t Braunschweig, 38106, Braunschweig, Germany"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Schulz", 
            "givenName": "Matthias", 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "Braunschweig University of Technology", 
              "id": "https://www.grid.ac/institutes/grid.6738.a", 
              "name": [
                "Institute of Solid Mechanics, Technische Universit\u00e4t Braunschweig, 38106, Braunschweig, Germany"
              ], 
              "type": "Organization"
            }, 
            "familyName": "B\u00f6l", 
            "givenName": "Markus", 
            "type": "Person"
          }
        ], 
        "citation": [
          {
            "id": "sg:pub.10.1023/a:1021268325425", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1000699334", 
              "https://doi.org/10.1023/a:1021268325425"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.cma.2004.01.029", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1001470078"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1002/nme.879", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1001799466"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-1-4757-4147-6", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1002150392", 
              "https://doi.org/10.1007/978-1-4757-4147-6"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-1-4757-4147-6", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1002150392", 
              "https://doi.org/10.1007/978-1-4757-4147-6"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0045-7825(82)90069-x", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1002373731"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0045-7825(82)90069-x", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1002373731"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0045-7825(95)00724-f", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1003049968"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.cma.2008.09.004", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1003054762"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0045-7949(79)90085-3", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1005261898"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0045-7949(79)90085-3", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1005261898"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.mechmachtheory.2011.07.017", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1006031843"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s00466-004-0559-z", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1006315216", 
              "https://doi.org/10.1007/s00466-004-0559-z"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1155/2015/208127", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1006437159"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0045-7825(94)00056-s", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1007502081"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s12289-009-0674-7", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1008259124", 
              "https://doi.org/10.1007/s12289-009-0674-7"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s12289-009-0674-7", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1008259124", 
              "https://doi.org/10.1007/s12289-009-0674-7"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s11044-016-9554-3", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1009035200", 
              "https://doi.org/10.1007/s11044-016-9554-3"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s11044-016-9554-3", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1009035200", 
              "https://doi.org/10.1007/s11044-016-9554-3"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s11044-008-9105-7", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1009783987", 
              "https://doi.org/10.1007/s11044-008-9105-7"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1002/nme.1620070304", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1010775231"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1002/nme.1620070304", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1010775231"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1002/nme.1620260710", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1013350366"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1002/nme.1620260710", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1013350366"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf00282411", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1014181362", 
              "https://doi.org/10.1007/bf00282411"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/s0045-7825(97)00059-5", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1014772349"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.ijsolstr.2012.03.033", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1015918570"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0020-7683(90)90060-9", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1016001255"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0020-7683(90)90060-9", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1016001255"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.cma.2015.12.027", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1017315510"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.cma.2011.05.014", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1017662903"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.cma.2003.07.008", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1018893809"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.cma.2003.07.008", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1018893809"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/s0045-7825(98)00249-7", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1019318717"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0045-7825(88)90073-4", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1019924082"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0045-7825(88)90073-4", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1019924082"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0045-7949(86)90284-1", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1019979561"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0045-7949(86)90284-1", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1019979561"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0045-7949(88)90355-0", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1020562502"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0045-7949(88)90355-0", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1020562502"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf00946983", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1020704126", 
              "https://doi.org/10.1007/bf00946983"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf00946983", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1020704126", 
              "https://doi.org/10.1007/bf00946983"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s11044-011-9249-8", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1021105881", 
              "https://doi.org/10.1007/s11044-011-9249-8"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.cma.2015.06.014", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1023376678"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.actamat.2015.06.018", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1023823440"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1002/sapm195029190", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1024360777"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0020-7683(91)90089-x", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1024422008"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0020-7683(91)90089-x", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1024422008"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/s0045-7825(01)00352-8", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1024648669"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s10570-012-9685-5", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1024786467", 
              "https://doi.org/10.1007/s10570-012-9685-5"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.2514/3.7296", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1025103562"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0045-7949(83)90179-7", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1025194523"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0045-7949(83)90179-7", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1025194523"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1515/crll.1859.56.285", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1027700980"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1002/(sici)1097-0207(19960215)39:3<383::aid-nme859>3.0.co;2-f", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1027947000"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1002/(sici)1097-0207(19960215)39:3<383::aid-nme859>3.0.co;2-f", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1027947000"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.ijnonlinmec.2013.08.008", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1028498770"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.2514/2.2054", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1028898461"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.compstruc.2016.08.013", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1028933082"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf00045001", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1029335779", 
              "https://doi.org/10.1007/bf00045001"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf00045001", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1029335779", 
              "https://doi.org/10.1007/bf00045001"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.compstruct.2013.10.044", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1029610279"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.cma.2011.05.009", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1030376290"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s11071-011-0109-0", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1032840505", 
              "https://doi.org/10.1007/s11071-011-0109-0"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1098/rsif.2006.0151", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1033339125"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1002/nme.487", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1034234668"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1023/a:1021257410404", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1035692688", 
              "https://doi.org/10.1023/a:1021257410404"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1098/rspa.1999.0352", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1036097902"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1002/(sici)1097-0207(19981215)43:7<1193::aid-nme463>3.0.co;2-p", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1036336538"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.jcp.2015.09.038", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1036538411"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1002/nme.1620261105", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1037965310"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1002/nme.1620261105", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1037965310"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.polymertesting.2012.02.003", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1040376740"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.cma.2005.10.002", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1040646770"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0045-7825(90)90106-v", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1040896039"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0045-7825(90)90106-v", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1040896039"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1002/nme.1620382107", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1040964478"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1002/nme.1620382107", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1040964478"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1002/nme.1620362106", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1041257238"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1002/nme.1620362106", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1041257238"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1002/nme.1620140703", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1042213433"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1002/nme.1620140703", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1042213433"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.cma.2007.05.005", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1043175524"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0020-7683(69)90025-0", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1043718350"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0020-7683(69)90025-0", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1043718350"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0961-9526(92)90036-6", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1044256506"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-3-319-31879-0_3", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1044530883", 
              "https://doi.org/10.1007/978-3-319-31879-0_3"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.cma.2009.01.020", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1046015799"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1002/nme.486", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1046232974"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.cma.2014.05.017", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1046821927"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s10659-010-9277-2", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1048001123", 
              "https://doi.org/10.1007/s10659-010-9277-2"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s00466-008-0358-z", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1048164527", 
              "https://doi.org/10.1007/s00466-008-0358-z"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s00466-008-0358-z", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1048164527", 
              "https://doi.org/10.1007/s00466-008-0358-z"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01602645", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1049127354", 
              "https://doi.org/10.1007/bf01602645"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1023/b:nody.0000014552.68786.bc", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1049452539", 
              "https://doi.org/10.1023/b:nody.0000014552.68786.bc"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s00466-002-0401-4", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1049714109", 
              "https://doi.org/10.1007/s00466-002-0401-4"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0045-7825(86)90079-4", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1050335335"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0045-7825(86)90079-4", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1050335335"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/s0045-7825(98)00061-9", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1050986633"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.cma.2013.06.009", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1051390727"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0045-7825(85)90050-7", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1051481607"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0045-7825(85)90050-7", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1051481607"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.ijsolstr.2016.05.002", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1051812665"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.cma.2012.11.017", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1052410975"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0020-7683(94)90123-6", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1052745850"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0020-7683(94)90123-6", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1052745850"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.cma.2015.02.029", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1052897881"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.ijnonlinmec.2010.06.003", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1053331713"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.2514/1.40556", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1053363402"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1061/(asce)0733-9445(1997)123:11(1512)", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1057598971"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1063/1.464283", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1058042293"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physreve.82.066705", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060741360"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physreve.82.066705", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060741360"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1115/1.2826866", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1062086132"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1115/1.3122626", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1062101998"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1115/1.4002000", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1062142351"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1115/1.4003239", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1062143582"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.3846/13923730.2014.893904", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1071465978"
            ], 
            "type": "CreativeWork"
          }
        ], 
        "datePublished": "2019-03-29", 
        "datePublishedReg": "2019-03-29", 
        "description": "In this contribution, a new finite-element formulation of a geometrically exact Kirchhoff\u2013Love beam, which requires C0-continuity and is capable of handling large-deformation problems that involve initially curved structures with arbitrary cross-sections, is presented. The absence of shear deformation that characterizes the Kirchhoff\u2013Love beam is enforced by restricting the translation of the centerline to an axial displacement. Consequently, the configuration space has one translational and three rotational degrees of freedom everywhere along the beam, except for an arbitrary material point on the centerline whose position in space is defined by a total of 6 degrees of freedom. In addition, two different orthogonal transformation interpolation strategies are introduced and implemented. One of the interpolation schemes results in a novel mixed two-field variational principle, where the rotations and the axial strain are interpolated. In the second approach, the tangent field itself and a local twist parameter are discretized. In appropriate numerical examples, objectivity, path-independence, locking phenomena, error convergence behavior, and general performance of the Kirchhoff\u2013Love beam are investigated and compared to other beam formulations.", 
        "genre": "research_article", 
        "id": "sg:pub.10.1007/s00466-019-01698-z", 
        "inLanguage": [
          "en"
        ], 
        "isAccessibleForFree": false, 
        "isPartOf": [
          {
            "id": "sg:journal.1127263", 
            "issn": [
              "0178-7675", 
              "1432-0924"
            ], 
            "name": "Computational Mechanics", 
            "type": "Periodical"
          }
        ], 
        "name": "A finite element formulation for a geometrically exact Kirchhoff\u2013Love beam based on constrained translation", 
        "pagination": "1-21", 
        "productId": [
          {
            "name": "readcube_id", 
            "type": "PropertyValue", 
            "value": [
              "8b315a484431ca55063dd84575cd5b687bb75ecf02dc106cf3a6b0359262ffcb"
            ]
          }, 
          {
            "name": "doi", 
            "type": "PropertyValue", 
            "value": [
              "10.1007/s00466-019-01698-z"
            ]
          }, 
          {
            "name": "dimensions_id", 
            "type": "PropertyValue", 
            "value": [
              "pub.1113104866"
            ]
          }
        ], 
        "sameAs": [
          "https://doi.org/10.1007/s00466-019-01698-z", 
          "https://app.dimensions.ai/details/publication/pub.1113104866"
        ], 
        "sdDataset": "articles", 
        "sdDatePublished": "2019-04-11T13:22", 
        "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
        "sdPublisher": {
          "name": "Springer Nature - SN SciGraph project", 
          "type": "Organization"
        }, 
        "sdSource": "s3://com-uberresearch-data-dimensions-target-20181106-alternative/cleanup/v134/2549eaecd7973599484d7c17b260dba0a4ecb94b/merge/v9/a6c9fde33151104705d4d7ff012ea9563521a3ce/jats-lookup/v90/0000000369_0000000369/records_68943_00000002.jsonl", 
        "type": "ScholarlyArticle", 
        "url": "https://link.springer.com/10.1007%2Fs00466-019-01698-z"
      }
    ]
     

    Download the RDF metadata as:  json-ld nt turtle xml License info

    HOW TO GET THIS DATA PROGRAMMATICALLY:

    JSON-LD is a popular format for linked data which is fully compatible with JSON.

    curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1007/s00466-019-01698-z'

    N-Triples is a line-based linked data format ideal for batch operations.

    curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/s00466-019-01698-z'

    Turtle is a human-readable linked data format.

    curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/s00466-019-01698-z'

    RDF/XML is a standard XML format for linked data.

    curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/s00466-019-01698-z'


     

    This table displays all metadata directly associated to this object as RDF triples.

    349 TRIPLES      21 PREDICATES      114 URIs      16 LITERALS      5 BLANK NODES

    Subject Predicate Object
    1 sg:pub.10.1007/s00466-019-01698-z schema:about anzsrc-for:09
    2 anzsrc-for:0905
    3 schema:author N445fcf7031544e2791f106d9cc923e3c
    4 schema:citation sg:pub.10.1007/978-1-4757-4147-6
    5 sg:pub.10.1007/978-3-319-31879-0_3
    6 sg:pub.10.1007/bf00045001
    7 sg:pub.10.1007/bf00282411
    8 sg:pub.10.1007/bf00946983
    9 sg:pub.10.1007/bf01602645
    10 sg:pub.10.1007/s00466-002-0401-4
    11 sg:pub.10.1007/s00466-004-0559-z
    12 sg:pub.10.1007/s00466-008-0358-z
    13 sg:pub.10.1007/s10570-012-9685-5
    14 sg:pub.10.1007/s10659-010-9277-2
    15 sg:pub.10.1007/s11044-008-9105-7
    16 sg:pub.10.1007/s11044-011-9249-8
    17 sg:pub.10.1007/s11044-016-9554-3
    18 sg:pub.10.1007/s11071-011-0109-0
    19 sg:pub.10.1007/s12289-009-0674-7
    20 sg:pub.10.1023/a:1021257410404
    21 sg:pub.10.1023/a:1021268325425
    22 sg:pub.10.1023/b:nody.0000014552.68786.bc
    23 https://doi.org/10.1002/(sici)1097-0207(19960215)39:3<383::aid-nme859>3.0.co;2-f
    24 https://doi.org/10.1002/(sici)1097-0207(19981215)43:7<1193::aid-nme463>3.0.co;2-p
    25 https://doi.org/10.1002/nme.1620070304
    26 https://doi.org/10.1002/nme.1620140703
    27 https://doi.org/10.1002/nme.1620260710
    28 https://doi.org/10.1002/nme.1620261105
    29 https://doi.org/10.1002/nme.1620362106
    30 https://doi.org/10.1002/nme.1620382107
    31 https://doi.org/10.1002/nme.486
    32 https://doi.org/10.1002/nme.487
    33 https://doi.org/10.1002/nme.879
    34 https://doi.org/10.1002/sapm195029190
    35 https://doi.org/10.1016/0020-7683(69)90025-0
    36 https://doi.org/10.1016/0020-7683(90)90060-9
    37 https://doi.org/10.1016/0020-7683(91)90089-x
    38 https://doi.org/10.1016/0020-7683(94)90123-6
    39 https://doi.org/10.1016/0045-7825(82)90069-x
    40 https://doi.org/10.1016/0045-7825(85)90050-7
    41 https://doi.org/10.1016/0045-7825(86)90079-4
    42 https://doi.org/10.1016/0045-7825(88)90073-4
    43 https://doi.org/10.1016/0045-7825(90)90106-v
    44 https://doi.org/10.1016/0045-7825(94)00056-s
    45 https://doi.org/10.1016/0045-7825(95)00724-f
    46 https://doi.org/10.1016/0045-7949(79)90085-3
    47 https://doi.org/10.1016/0045-7949(83)90179-7
    48 https://doi.org/10.1016/0045-7949(86)90284-1
    49 https://doi.org/10.1016/0045-7949(88)90355-0
    50 https://doi.org/10.1016/0961-9526(92)90036-6
    51 https://doi.org/10.1016/j.actamat.2015.06.018
    52 https://doi.org/10.1016/j.cma.2003.07.008
    53 https://doi.org/10.1016/j.cma.2004.01.029
    54 https://doi.org/10.1016/j.cma.2005.10.002
    55 https://doi.org/10.1016/j.cma.2007.05.005
    56 https://doi.org/10.1016/j.cma.2008.09.004
    57 https://doi.org/10.1016/j.cma.2009.01.020
    58 https://doi.org/10.1016/j.cma.2011.05.009
    59 https://doi.org/10.1016/j.cma.2011.05.014
    60 https://doi.org/10.1016/j.cma.2012.11.017
    61 https://doi.org/10.1016/j.cma.2013.06.009
    62 https://doi.org/10.1016/j.cma.2014.05.017
    63 https://doi.org/10.1016/j.cma.2015.02.029
    64 https://doi.org/10.1016/j.cma.2015.06.014
    65 https://doi.org/10.1016/j.cma.2015.12.027
    66 https://doi.org/10.1016/j.compstruc.2016.08.013
    67 https://doi.org/10.1016/j.compstruct.2013.10.044
    68 https://doi.org/10.1016/j.ijnonlinmec.2010.06.003
    69 https://doi.org/10.1016/j.ijnonlinmec.2013.08.008
    70 https://doi.org/10.1016/j.ijsolstr.2012.03.033
    71 https://doi.org/10.1016/j.ijsolstr.2016.05.002
    72 https://doi.org/10.1016/j.jcp.2015.09.038
    73 https://doi.org/10.1016/j.mechmachtheory.2011.07.017
    74 https://doi.org/10.1016/j.polymertesting.2012.02.003
    75 https://doi.org/10.1016/s0045-7825(01)00352-8
    76 https://doi.org/10.1016/s0045-7825(97)00059-5
    77 https://doi.org/10.1016/s0045-7825(98)00061-9
    78 https://doi.org/10.1016/s0045-7825(98)00249-7
    79 https://doi.org/10.1061/(asce)0733-9445(1997)123:11(1512)
    80 https://doi.org/10.1063/1.464283
    81 https://doi.org/10.1098/rsif.2006.0151
    82 https://doi.org/10.1098/rspa.1999.0352
    83 https://doi.org/10.1103/physreve.82.066705
    84 https://doi.org/10.1115/1.2826866
    85 https://doi.org/10.1115/1.3122626
    86 https://doi.org/10.1115/1.4002000
    87 https://doi.org/10.1115/1.4003239
    88 https://doi.org/10.1155/2015/208127
    89 https://doi.org/10.1515/crll.1859.56.285
    90 https://doi.org/10.2514/1.40556
    91 https://doi.org/10.2514/2.2054
    92 https://doi.org/10.2514/3.7296
    93 https://doi.org/10.3846/13923730.2014.893904
    94 schema:datePublished 2019-03-29
    95 schema:datePublishedReg 2019-03-29
    96 schema:description In this contribution, a new finite-element formulation of a geometrically exact Kirchhoff–Love beam, which requires C0-continuity and is capable of handling large-deformation problems that involve initially curved structures with arbitrary cross-sections, is presented. The absence of shear deformation that characterizes the Kirchhoff–Love beam is enforced by restricting the translation of the centerline to an axial displacement. Consequently, the configuration space has one translational and three rotational degrees of freedom everywhere along the beam, except for an arbitrary material point on the centerline whose position in space is defined by a total of 6 degrees of freedom. In addition, two different orthogonal transformation interpolation strategies are introduced and implemented. One of the interpolation schemes results in a novel mixed two-field variational principle, where the rotations and the axial strain are interpolated. In the second approach, the tangent field itself and a local twist parameter are discretized. In appropriate numerical examples, objectivity, path-independence, locking phenomena, error convergence behavior, and general performance of the Kirchhoff–Love beam are investigated and compared to other beam formulations.
    97 schema:genre research_article
    98 schema:inLanguage en
    99 schema:isAccessibleForFree false
    100 schema:isPartOf sg:journal.1127263
    101 schema:name A finite element formulation for a geometrically exact Kirchhoff–Love beam based on constrained translation
    102 schema:pagination 1-21
    103 schema:productId N034d98f323624c7eb0bd9601f48d083f
    104 N290ee14dbf314d039ffebc3d6e51b780
    105 N867d728d9bc34aacb9efd7fb002d41a2
    106 schema:sameAs https://app.dimensions.ai/details/publication/pub.1113104866
    107 https://doi.org/10.1007/s00466-019-01698-z
    108 schema:sdDatePublished 2019-04-11T13:22
    109 schema:sdLicense https://scigraph.springernature.com/explorer/license/
    110 schema:sdPublisher Neb64b302006a4ff5a1913b5afb998730
    111 schema:url https://link.springer.com/10.1007%2Fs00466-019-01698-z
    112 sgo:license sg:explorer/license/
    113 sgo:sdDataset articles
    114 rdf:type schema:ScholarlyArticle
    115 N034d98f323624c7eb0bd9601f48d083f schema:name doi
    116 schema:value 10.1007/s00466-019-01698-z
    117 rdf:type schema:PropertyValue
    118 N290ee14dbf314d039ffebc3d6e51b780 schema:name readcube_id
    119 schema:value 8b315a484431ca55063dd84575cd5b687bb75ecf02dc106cf3a6b0359262ffcb
    120 rdf:type schema:PropertyValue
    121 N445fcf7031544e2791f106d9cc923e3c rdf:first N48bdbc1d0ed640a997c4c8840f13c53b
    122 rdf:rest N62b4cbf94af74975a21ee5de88aaa117
    123 N48bdbc1d0ed640a997c4c8840f13c53b schema:affiliation https://www.grid.ac/institutes/grid.6738.a
    124 schema:familyName Schulz
    125 schema:givenName Matthias
    126 rdf:type schema:Person
    127 N62b4cbf94af74975a21ee5de88aaa117 rdf:first N8acec5bb92cb42c0ad4bc8bc8a314f20
    128 rdf:rest rdf:nil
    129 N867d728d9bc34aacb9efd7fb002d41a2 schema:name dimensions_id
    130 schema:value pub.1113104866
    131 rdf:type schema:PropertyValue
    132 N8acec5bb92cb42c0ad4bc8bc8a314f20 schema:affiliation https://www.grid.ac/institutes/grid.6738.a
    133 schema:familyName Böl
    134 schema:givenName Markus
    135 rdf:type schema:Person
    136 Neb64b302006a4ff5a1913b5afb998730 schema:name Springer Nature - SN SciGraph project
    137 rdf:type schema:Organization
    138 anzsrc-for:09 schema:inDefinedTermSet anzsrc-for:
    139 schema:name Engineering
    140 rdf:type schema:DefinedTerm
    141 anzsrc-for:0905 schema:inDefinedTermSet anzsrc-for:
    142 schema:name Civil Engineering
    143 rdf:type schema:DefinedTerm
    144 sg:journal.1127263 schema:issn 0178-7675
    145 1432-0924
    146 schema:name Computational Mechanics
    147 rdf:type schema:Periodical
    148 sg:pub.10.1007/978-1-4757-4147-6 schema:sameAs https://app.dimensions.ai/details/publication/pub.1002150392
    149 https://doi.org/10.1007/978-1-4757-4147-6
    150 rdf:type schema:CreativeWork
    151 sg:pub.10.1007/978-3-319-31879-0_3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1044530883
    152 https://doi.org/10.1007/978-3-319-31879-0_3
    153 rdf:type schema:CreativeWork
    154 sg:pub.10.1007/bf00045001 schema:sameAs https://app.dimensions.ai/details/publication/pub.1029335779
    155 https://doi.org/10.1007/bf00045001
    156 rdf:type schema:CreativeWork
    157 sg:pub.10.1007/bf00282411 schema:sameAs https://app.dimensions.ai/details/publication/pub.1014181362
    158 https://doi.org/10.1007/bf00282411
    159 rdf:type schema:CreativeWork
    160 sg:pub.10.1007/bf00946983 schema:sameAs https://app.dimensions.ai/details/publication/pub.1020704126
    161 https://doi.org/10.1007/bf00946983
    162 rdf:type schema:CreativeWork
    163 sg:pub.10.1007/bf01602645 schema:sameAs https://app.dimensions.ai/details/publication/pub.1049127354
    164 https://doi.org/10.1007/bf01602645
    165 rdf:type schema:CreativeWork
    166 sg:pub.10.1007/s00466-002-0401-4 schema:sameAs https://app.dimensions.ai/details/publication/pub.1049714109
    167 https://doi.org/10.1007/s00466-002-0401-4
    168 rdf:type schema:CreativeWork
    169 sg:pub.10.1007/s00466-004-0559-z schema:sameAs https://app.dimensions.ai/details/publication/pub.1006315216
    170 https://doi.org/10.1007/s00466-004-0559-z
    171 rdf:type schema:CreativeWork
    172 sg:pub.10.1007/s00466-008-0358-z schema:sameAs https://app.dimensions.ai/details/publication/pub.1048164527
    173 https://doi.org/10.1007/s00466-008-0358-z
    174 rdf:type schema:CreativeWork
    175 sg:pub.10.1007/s10570-012-9685-5 schema:sameAs https://app.dimensions.ai/details/publication/pub.1024786467
    176 https://doi.org/10.1007/s10570-012-9685-5
    177 rdf:type schema:CreativeWork
    178 sg:pub.10.1007/s10659-010-9277-2 schema:sameAs https://app.dimensions.ai/details/publication/pub.1048001123
    179 https://doi.org/10.1007/s10659-010-9277-2
    180 rdf:type schema:CreativeWork
    181 sg:pub.10.1007/s11044-008-9105-7 schema:sameAs https://app.dimensions.ai/details/publication/pub.1009783987
    182 https://doi.org/10.1007/s11044-008-9105-7
    183 rdf:type schema:CreativeWork
    184 sg:pub.10.1007/s11044-011-9249-8 schema:sameAs https://app.dimensions.ai/details/publication/pub.1021105881
    185 https://doi.org/10.1007/s11044-011-9249-8
    186 rdf:type schema:CreativeWork
    187 sg:pub.10.1007/s11044-016-9554-3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1009035200
    188 https://doi.org/10.1007/s11044-016-9554-3
    189 rdf:type schema:CreativeWork
    190 sg:pub.10.1007/s11071-011-0109-0 schema:sameAs https://app.dimensions.ai/details/publication/pub.1032840505
    191 https://doi.org/10.1007/s11071-011-0109-0
    192 rdf:type schema:CreativeWork
    193 sg:pub.10.1007/s12289-009-0674-7 schema:sameAs https://app.dimensions.ai/details/publication/pub.1008259124
    194 https://doi.org/10.1007/s12289-009-0674-7
    195 rdf:type schema:CreativeWork
    196 sg:pub.10.1023/a:1021257410404 schema:sameAs https://app.dimensions.ai/details/publication/pub.1035692688
    197 https://doi.org/10.1023/a:1021257410404
    198 rdf:type schema:CreativeWork
    199 sg:pub.10.1023/a:1021268325425 schema:sameAs https://app.dimensions.ai/details/publication/pub.1000699334
    200 https://doi.org/10.1023/a:1021268325425
    201 rdf:type schema:CreativeWork
    202 sg:pub.10.1023/b:nody.0000014552.68786.bc schema:sameAs https://app.dimensions.ai/details/publication/pub.1049452539
    203 https://doi.org/10.1023/b:nody.0000014552.68786.bc
    204 rdf:type schema:CreativeWork
    205 https://doi.org/10.1002/(sici)1097-0207(19960215)39:3<383::aid-nme859>3.0.co;2-f schema:sameAs https://app.dimensions.ai/details/publication/pub.1027947000
    206 rdf:type schema:CreativeWork
    207 https://doi.org/10.1002/(sici)1097-0207(19981215)43:7<1193::aid-nme463>3.0.co;2-p schema:sameAs https://app.dimensions.ai/details/publication/pub.1036336538
    208 rdf:type schema:CreativeWork
    209 https://doi.org/10.1002/nme.1620070304 schema:sameAs https://app.dimensions.ai/details/publication/pub.1010775231
    210 rdf:type schema:CreativeWork
    211 https://doi.org/10.1002/nme.1620140703 schema:sameAs https://app.dimensions.ai/details/publication/pub.1042213433
    212 rdf:type schema:CreativeWork
    213 https://doi.org/10.1002/nme.1620260710 schema:sameAs https://app.dimensions.ai/details/publication/pub.1013350366
    214 rdf:type schema:CreativeWork
    215 https://doi.org/10.1002/nme.1620261105 schema:sameAs https://app.dimensions.ai/details/publication/pub.1037965310
    216 rdf:type schema:CreativeWork
    217 https://doi.org/10.1002/nme.1620362106 schema:sameAs https://app.dimensions.ai/details/publication/pub.1041257238
    218 rdf:type schema:CreativeWork
    219 https://doi.org/10.1002/nme.1620382107 schema:sameAs https://app.dimensions.ai/details/publication/pub.1040964478
    220 rdf:type schema:CreativeWork
    221 https://doi.org/10.1002/nme.486 schema:sameAs https://app.dimensions.ai/details/publication/pub.1046232974
    222 rdf:type schema:CreativeWork
    223 https://doi.org/10.1002/nme.487 schema:sameAs https://app.dimensions.ai/details/publication/pub.1034234668
    224 rdf:type schema:CreativeWork
    225 https://doi.org/10.1002/nme.879 schema:sameAs https://app.dimensions.ai/details/publication/pub.1001799466
    226 rdf:type schema:CreativeWork
    227 https://doi.org/10.1002/sapm195029190 schema:sameAs https://app.dimensions.ai/details/publication/pub.1024360777
    228 rdf:type schema:CreativeWork
    229 https://doi.org/10.1016/0020-7683(69)90025-0 schema:sameAs https://app.dimensions.ai/details/publication/pub.1043718350
    230 rdf:type schema:CreativeWork
    231 https://doi.org/10.1016/0020-7683(90)90060-9 schema:sameAs https://app.dimensions.ai/details/publication/pub.1016001255
    232 rdf:type schema:CreativeWork
    233 https://doi.org/10.1016/0020-7683(91)90089-x schema:sameAs https://app.dimensions.ai/details/publication/pub.1024422008
    234 rdf:type schema:CreativeWork
    235 https://doi.org/10.1016/0020-7683(94)90123-6 schema:sameAs https://app.dimensions.ai/details/publication/pub.1052745850
    236 rdf:type schema:CreativeWork
    237 https://doi.org/10.1016/0045-7825(82)90069-x schema:sameAs https://app.dimensions.ai/details/publication/pub.1002373731
    238 rdf:type schema:CreativeWork
    239 https://doi.org/10.1016/0045-7825(85)90050-7 schema:sameAs https://app.dimensions.ai/details/publication/pub.1051481607
    240 rdf:type schema:CreativeWork
    241 https://doi.org/10.1016/0045-7825(86)90079-4 schema:sameAs https://app.dimensions.ai/details/publication/pub.1050335335
    242 rdf:type schema:CreativeWork
    243 https://doi.org/10.1016/0045-7825(88)90073-4 schema:sameAs https://app.dimensions.ai/details/publication/pub.1019924082
    244 rdf:type schema:CreativeWork
    245 https://doi.org/10.1016/0045-7825(90)90106-v schema:sameAs https://app.dimensions.ai/details/publication/pub.1040896039
    246 rdf:type schema:CreativeWork
    247 https://doi.org/10.1016/0045-7825(94)00056-s schema:sameAs https://app.dimensions.ai/details/publication/pub.1007502081
    248 rdf:type schema:CreativeWork
    249 https://doi.org/10.1016/0045-7825(95)00724-f schema:sameAs https://app.dimensions.ai/details/publication/pub.1003049968
    250 rdf:type schema:CreativeWork
    251 https://doi.org/10.1016/0045-7949(79)90085-3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1005261898
    252 rdf:type schema:CreativeWork
    253 https://doi.org/10.1016/0045-7949(83)90179-7 schema:sameAs https://app.dimensions.ai/details/publication/pub.1025194523
    254 rdf:type schema:CreativeWork
    255 https://doi.org/10.1016/0045-7949(86)90284-1 schema:sameAs https://app.dimensions.ai/details/publication/pub.1019979561
    256 rdf:type schema:CreativeWork
    257 https://doi.org/10.1016/0045-7949(88)90355-0 schema:sameAs https://app.dimensions.ai/details/publication/pub.1020562502
    258 rdf:type schema:CreativeWork
    259 https://doi.org/10.1016/0961-9526(92)90036-6 schema:sameAs https://app.dimensions.ai/details/publication/pub.1044256506
    260 rdf:type schema:CreativeWork
    261 https://doi.org/10.1016/j.actamat.2015.06.018 schema:sameAs https://app.dimensions.ai/details/publication/pub.1023823440
    262 rdf:type schema:CreativeWork
    263 https://doi.org/10.1016/j.cma.2003.07.008 schema:sameAs https://app.dimensions.ai/details/publication/pub.1018893809
    264 rdf:type schema:CreativeWork
    265 https://doi.org/10.1016/j.cma.2004.01.029 schema:sameAs https://app.dimensions.ai/details/publication/pub.1001470078
    266 rdf:type schema:CreativeWork
    267 https://doi.org/10.1016/j.cma.2005.10.002 schema:sameAs https://app.dimensions.ai/details/publication/pub.1040646770
    268 rdf:type schema:CreativeWork
    269 https://doi.org/10.1016/j.cma.2007.05.005 schema:sameAs https://app.dimensions.ai/details/publication/pub.1043175524
    270 rdf:type schema:CreativeWork
    271 https://doi.org/10.1016/j.cma.2008.09.004 schema:sameAs https://app.dimensions.ai/details/publication/pub.1003054762
    272 rdf:type schema:CreativeWork
    273 https://doi.org/10.1016/j.cma.2009.01.020 schema:sameAs https://app.dimensions.ai/details/publication/pub.1046015799
    274 rdf:type schema:CreativeWork
    275 https://doi.org/10.1016/j.cma.2011.05.009 schema:sameAs https://app.dimensions.ai/details/publication/pub.1030376290
    276 rdf:type schema:CreativeWork
    277 https://doi.org/10.1016/j.cma.2011.05.014 schema:sameAs https://app.dimensions.ai/details/publication/pub.1017662903
    278 rdf:type schema:CreativeWork
    279 https://doi.org/10.1016/j.cma.2012.11.017 schema:sameAs https://app.dimensions.ai/details/publication/pub.1052410975
    280 rdf:type schema:CreativeWork
    281 https://doi.org/10.1016/j.cma.2013.06.009 schema:sameAs https://app.dimensions.ai/details/publication/pub.1051390727
    282 rdf:type schema:CreativeWork
    283 https://doi.org/10.1016/j.cma.2014.05.017 schema:sameAs https://app.dimensions.ai/details/publication/pub.1046821927
    284 rdf:type schema:CreativeWork
    285 https://doi.org/10.1016/j.cma.2015.02.029 schema:sameAs https://app.dimensions.ai/details/publication/pub.1052897881
    286 rdf:type schema:CreativeWork
    287 https://doi.org/10.1016/j.cma.2015.06.014 schema:sameAs https://app.dimensions.ai/details/publication/pub.1023376678
    288 rdf:type schema:CreativeWork
    289 https://doi.org/10.1016/j.cma.2015.12.027 schema:sameAs https://app.dimensions.ai/details/publication/pub.1017315510
    290 rdf:type schema:CreativeWork
    291 https://doi.org/10.1016/j.compstruc.2016.08.013 schema:sameAs https://app.dimensions.ai/details/publication/pub.1028933082
    292 rdf:type schema:CreativeWork
    293 https://doi.org/10.1016/j.compstruct.2013.10.044 schema:sameAs https://app.dimensions.ai/details/publication/pub.1029610279
    294 rdf:type schema:CreativeWork
    295 https://doi.org/10.1016/j.ijnonlinmec.2010.06.003 schema:sameAs https://app.dimensions.ai/details/publication/pub.1053331713
    296 rdf:type schema:CreativeWork
    297 https://doi.org/10.1016/j.ijnonlinmec.2013.08.008 schema:sameAs https://app.dimensions.ai/details/publication/pub.1028498770
    298 rdf:type schema:CreativeWork
    299 https://doi.org/10.1016/j.ijsolstr.2012.03.033 schema:sameAs https://app.dimensions.ai/details/publication/pub.1015918570
    300 rdf:type schema:CreativeWork
    301 https://doi.org/10.1016/j.ijsolstr.2016.05.002 schema:sameAs https://app.dimensions.ai/details/publication/pub.1051812665
    302 rdf:type schema:CreativeWork
    303 https://doi.org/10.1016/j.jcp.2015.09.038 schema:sameAs https://app.dimensions.ai/details/publication/pub.1036538411
    304 rdf:type schema:CreativeWork
    305 https://doi.org/10.1016/j.mechmachtheory.2011.07.017 schema:sameAs https://app.dimensions.ai/details/publication/pub.1006031843
    306 rdf:type schema:CreativeWork
    307 https://doi.org/10.1016/j.polymertesting.2012.02.003 schema:sameAs https://app.dimensions.ai/details/publication/pub.1040376740
    308 rdf:type schema:CreativeWork
    309 https://doi.org/10.1016/s0045-7825(01)00352-8 schema:sameAs https://app.dimensions.ai/details/publication/pub.1024648669
    310 rdf:type schema:CreativeWork
    311 https://doi.org/10.1016/s0045-7825(97)00059-5 schema:sameAs https://app.dimensions.ai/details/publication/pub.1014772349
    312 rdf:type schema:CreativeWork
    313 https://doi.org/10.1016/s0045-7825(98)00061-9 schema:sameAs https://app.dimensions.ai/details/publication/pub.1050986633
    314 rdf:type schema:CreativeWork
    315 https://doi.org/10.1016/s0045-7825(98)00249-7 schema:sameAs https://app.dimensions.ai/details/publication/pub.1019318717
    316 rdf:type schema:CreativeWork
    317 https://doi.org/10.1061/(asce)0733-9445(1997)123:11(1512) schema:sameAs https://app.dimensions.ai/details/publication/pub.1057598971
    318 rdf:type schema:CreativeWork
    319 https://doi.org/10.1063/1.464283 schema:sameAs https://app.dimensions.ai/details/publication/pub.1058042293
    320 rdf:type schema:CreativeWork
    321 https://doi.org/10.1098/rsif.2006.0151 schema:sameAs https://app.dimensions.ai/details/publication/pub.1033339125
    322 rdf:type schema:CreativeWork
    323 https://doi.org/10.1098/rspa.1999.0352 schema:sameAs https://app.dimensions.ai/details/publication/pub.1036097902
    324 rdf:type schema:CreativeWork
    325 https://doi.org/10.1103/physreve.82.066705 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060741360
    326 rdf:type schema:CreativeWork
    327 https://doi.org/10.1115/1.2826866 schema:sameAs https://app.dimensions.ai/details/publication/pub.1062086132
    328 rdf:type schema:CreativeWork
    329 https://doi.org/10.1115/1.3122626 schema:sameAs https://app.dimensions.ai/details/publication/pub.1062101998
    330 rdf:type schema:CreativeWork
    331 https://doi.org/10.1115/1.4002000 schema:sameAs https://app.dimensions.ai/details/publication/pub.1062142351
    332 rdf:type schema:CreativeWork
    333 https://doi.org/10.1115/1.4003239 schema:sameAs https://app.dimensions.ai/details/publication/pub.1062143582
    334 rdf:type schema:CreativeWork
    335 https://doi.org/10.1155/2015/208127 schema:sameAs https://app.dimensions.ai/details/publication/pub.1006437159
    336 rdf:type schema:CreativeWork
    337 https://doi.org/10.1515/crll.1859.56.285 schema:sameAs https://app.dimensions.ai/details/publication/pub.1027700980
    338 rdf:type schema:CreativeWork
    339 https://doi.org/10.2514/1.40556 schema:sameAs https://app.dimensions.ai/details/publication/pub.1053363402
    340 rdf:type schema:CreativeWork
    341 https://doi.org/10.2514/2.2054 schema:sameAs https://app.dimensions.ai/details/publication/pub.1028898461
    342 rdf:type schema:CreativeWork
    343 https://doi.org/10.2514/3.7296 schema:sameAs https://app.dimensions.ai/details/publication/pub.1025103562
    344 rdf:type schema:CreativeWork
    345 https://doi.org/10.3846/13923730.2014.893904 schema:sameAs https://app.dimensions.ai/details/publication/pub.1071465978
    346 rdf:type schema:CreativeWork
    347 https://www.grid.ac/institutes/grid.6738.a schema:alternateName Braunschweig University of Technology
    348 schema:name Institute of Solid Mechanics, Technische Universität Braunschweig, 38106, Braunschweig, Germany
    349 rdf:type schema:Organization
     




    Preview window. Press ESC to close (or click here)


    ...