Winkler Support Model and Nonlinear Boundary Conditions Applied to 3D Elastic Contact Problem Using the Boundary Element Method View Full Text


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Article Info

DATE

2019-04

AUTHORS

J. Vallepuga-Espinosa, Lidia Sánchez-González, Iván Ubero-Martínez

ABSTRACT

This work presents a numerical methodology for modeling the Winkler supports and nonlinear conditions by proposing new boundary conditions. For the boundary conditions of Winkler support model, the surface tractions and the displacements normal to the surface of the solid are unknown, but their relationship is known by means of the ballast coefficient, whereas for nonlinear boundary conditions, the displacements normal to the boundary of the solid are zero in the positive direction but are allowed in the negative direction. In those zones, detachments of nodes might appear, leading to a nonlinearity, because the number of nodes that remain fixed or of the detached ones (under tensile tractions) is unknown. The proposed methodology is applied to the 3D elastic receding contact problem using the boundary element method. The surface tractions and the displacements of the common interface between the two solids in contact under the influence of different supports are calculated as well as the boundary zone of the solid where the new boundary conditions are applied. The problem is solved by a double-iterative method, so in the final solution, there are no tractions or penetrations between the two solids or at the boundary of the solid where the nonlinear boundary conditions are simulated. The effectiveness of the proposed method is verified by examples. More... »

PAGES

230-248

References to SciGraph publications

  • 1972-04. A minimum principle for frictionless elastic contact with application to non-Hertzian half-space contact problems in JOURNAL OF ENGINEERING MATHEMATICS
  • 2001-01. Boundary element analysis of unilateral supported Reissner plates on elastic foundations in COMPUTATIONAL MECHANICS
  • 2014. Solving Linear Systems of Equations from BEM Codes in INTERNATIONAL JOINT CONFERENCE SOCO’13-CISIS’13-ICEUTE’13
  • 2018. Parallel Performance of the Boundary Element Method in Thermoelastic Contact Problems in INTERNATIONAL JOINT CONFERENCE SOCO’17-CISIS’17-ICEUTE’17 LEÓN, SPAIN, SEPTEMBER 6–8, 2017, PROCEEDING
  • 1981-10. The Somigliana identity on piecewise smooth surfaces in JOURNAL OF ELASTICITY
  • 1984. Boundary Element Techniques, Theory and Applications in Engineering in NONE
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s10338-018-00073-4

    DOI

    http://dx.doi.org/10.1007/s10338-018-00073-4

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