A theory of viscoelastic composites modeled as interpenetrating solid continua with memory View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

1983-03

AUTHORS

M. F. McCarthy, H. F. Tiersten

ABSTRACT

An existing description of composite materials modeled as interpenetrating solid continua is extended to include constitutive response functionals over the histories of the constitutive variables of the n-consistent composite. As in the earlier work, the relative displacement of the individual constituents is required to be infinitesimal in order that the composite not rupture even though the motion of the combined composite is finite. Conditions on the response functionals under the assumption of fading memory are obtained from the Clausius-Duhem inequality for the combined composite. Relaxation and cyclical processes are discussed and it is shown that the equilibrium response of the composite considered is the same as that of the elastic composites treated in the earlier work. Some detailed results are obtained for the case of two-constituents under the additional assumption of finite linear viscoelastic response. More... »

PAGES

21-51

References to SciGraph publications

  • 1972-06. A multi-continuum theory for composite elastic materials in ACTA MECHANICA
  • 1972-03. Wave propagation in elastic laminates using a multi-continuum theory in ACTA MECHANICA
  • 1967-01. A general theory of dissipation in materials with memory in ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
  • 1963-12. The thermodynamics of elastic materials with heat conduction and viscosity in ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
  • 1977-11. A nonlinear mixture theory for the dynamic response of a laminated composite under large deformations in ZEITSCHRIFT FÜR ANGEWANDTE MATHEMATIK UND PHYSIK
  • 1970-09. Linear anisothermal theory for a viscoelastic laminated composite in ACTA MECHANICA
  • 1964-01. Thermodynamics of materials with memory in ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
  • 1977-10. Theory of interpenetrating elastic mixtures in SOVIET APPLIED MECHANICS
  • 1977-06. A theory of composites modeled as interpenetrating solid continua in ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
  • 1964-01. Material symmetry restrictions on constitutive equations in ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
  • 1965. The Non-Linear Field Theories of Mechanics / Die Nicht-Linearen Feldtheorien der Mechanik in NONE
  • 1957-01. The mechanics of non-linear materials with memory in ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
  • 1972. The Thermodynamics of Simple Materials with Fading Memory in NONE
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/bf00283166

    DOI

    http://dx.doi.org/10.1007/bf00283166

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1048409307


    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/2008/0912", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Materials 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": "Rensselaer Polytechnic Institute", 
              "id": "https://www.grid.ac/institutes/grid.33647.35", 
              "name": [
                "National University of Ireland University College, Galway, Ireland", 
                "Department of Mechanical Engineering, Aeronautical Engineering & Mechanics Rensselaer Polytechnic Institute, 12181, Troy, New York"
              ], 
              "type": "Organization"
            }, 
            "familyName": "McCarthy", 
            "givenName": "M. F.", 
            "id": "sg:person.014027446532.09", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014027446532.09"
            ], 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "Rensselaer Polytechnic Institute", 
              "id": "https://www.grid.ac/institutes/grid.33647.35", 
              "name": [
                "National University of Ireland University College, Galway, Ireland", 
                "Department of Mechanical Engineering, Aeronautical Engineering & Mechanics Rensselaer Polytechnic Institute, 12181, Troy, New York"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Tiersten", 
            "givenName": "H. F.", 
            "id": "sg:person.012065264574.93", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.012065264574.93"
            ], 
            "type": "Person"
          }
        ], 
        "citation": [
          {
            "id": "sg:pub.10.1007/bf01262690", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1000331721", 
              "https://doi.org/10.1007/bf01262690"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01262690", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1000331721", 
              "https://doi.org/10.1007/bf01262690"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0022-5096(74)90033-7", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1000890036"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0022-5096(74)90033-7", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1000890036"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01184851", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1002153969", 
              "https://doi.org/10.1007/bf01184851"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01184851", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1002153969", 
              "https://doi.org/10.1007/bf01184851"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf00276554", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1002889302", 
              "https://doi.org/10.1007/bf00276554"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf00276554", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1002889302", 
              "https://doi.org/10.1007/bf00276554"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0020-7225(78)90014-9", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1003476816"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0020-7225(78)90014-9", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1003476816"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-3-642-65318-6", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1004543084", 
              "https://doi.org/10.1007/978-3-642-65318-6"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-3-642-65318-6", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1004543084", 
              "https://doi.org/10.1007/978-3-642-65318-6"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf00883191", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1006729593", 
              "https://doi.org/10.1007/bf00883191"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf00883191", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1006729593", 
              "https://doi.org/10.1007/bf00883191"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf00281714", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1007420273", 
              "https://doi.org/10.1007/bf00281714"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf00281714", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1007420273", 
              "https://doi.org/10.1007/bf00281714"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01179824", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1011657002", 
              "https://doi.org/10.1007/bf01179824"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01179824", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1011657002", 
              "https://doi.org/10.1007/bf01179824"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf00283864", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1017683262", 
              "https://doi.org/10.1007/bf00283864"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf00283864", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1017683262", 
              "https://doi.org/10.1007/bf00283864"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0020-7683(70)90035-1", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1017761808"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0020-7683(70)90035-1", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1017761808"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf00297992", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1020318221", 
              "https://doi.org/10.1007/bf00297992"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf00297992", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1020318221", 
              "https://doi.org/10.1007/bf00297992"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf00297992", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1020318221", 
              "https://doi.org/10.1007/bf00297992"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0020-7225(74)90009-3", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1022924474"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0020-7225(74)90009-3", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1022924474"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-3-642-46015-9", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1022962062", 
              "https://doi.org/10.1007/978-3-642-46015-9"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-3-642-46015-9", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1022962062", 
              "https://doi.org/10.1007/978-3-642-46015-9"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01177284", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1033124253", 
              "https://doi.org/10.1007/bf01177284"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01177284", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1033124253", 
              "https://doi.org/10.1007/bf01177284"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf00282437", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1034730059", 
              "https://doi.org/10.1007/bf00282437"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf00282437", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1034730059", 
              "https://doi.org/10.1007/bf00282437"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/b978-0-12-240802-1.50013-4", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1034993163"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0020-7225(71)90089-9", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1035206360"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0020-7225(71)90089-9", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1035206360"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0020-7225(78)90017-4", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1037817848"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0020-7225(78)90017-4", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1037817848"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0031-8914(72)90085-7", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1040737593"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0031-8914(72)90085-7", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1040737593"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0020-7683(73)90088-7", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1042042772"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0020-7683(73)90088-7", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1042042772"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/s0022-460x(74)80105-7", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1044346030"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01601674", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1046664765", 
              "https://doi.org/10.1007/bf01601674"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01601674", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1046664765", 
              "https://doi.org/10.1007/bf01601674"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1063/1.1663044", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1057741429"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1090/qam/189346", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1059347764"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1093/qjmam/21.2.147", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1059984045"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1093/qjmam/30.2.209", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1059984402"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/revmodphys.33.239", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060838017"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/revmodphys.33.239", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060838017"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1115/1.3408772", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1062118444"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1115/1.3601237", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1062132572"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1177/002199837300700108", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1063623933"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1177/002199837300700108", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1063623933"
            ], 
            "type": "CreativeWork"
          }
        ], 
        "datePublished": "1983-03", 
        "datePublishedReg": "1983-03-01", 
        "description": "An existing description of composite materials modeled as interpenetrating solid continua is extended to include constitutive response functionals over the histories of the constitutive variables of the n-consistent composite. As in the earlier work, the relative displacement of the individual constituents is required to be infinitesimal in order that the composite not rupture even though the motion of the combined composite is finite. Conditions on the response functionals under the assumption of fading memory are obtained from the Clausius-Duhem inequality for the combined composite. Relaxation and cyclical processes are discussed and it is shown that the equilibrium response of the composite considered is the same as that of the elastic composites treated in the earlier work. Some detailed results are obtained for the case of two-constituents under the additional assumption of finite linear viscoelastic response.", 
        "genre": "research_article", 
        "id": "sg:pub.10.1007/bf00283166", 
        "inLanguage": [
          "en"
        ], 
        "isAccessibleForFree": false, 
        "isPartOf": [
          {
            "id": "sg:journal.1047617", 
            "issn": [
              "0003-9527", 
              "1432-0673"
            ], 
            "name": "Archive for Rational Mechanics and Analysis", 
            "type": "Periodical"
          }, 
          {
            "issueNumber": "1", 
            "type": "PublicationIssue"
          }, 
          {
            "type": "PublicationVolume", 
            "volumeNumber": "81"
          }
        ], 
        "name": "A theory of viscoelastic composites modeled as interpenetrating solid continua with memory", 
        "pagination": "21-51", 
        "productId": [
          {
            "name": "doi", 
            "type": "PropertyValue", 
            "value": [
              "10.1007/bf00283166"
            ]
          }, 
          {
            "name": "readcube_id", 
            "type": "PropertyValue", 
            "value": [
              "e69d15e852d67ed673d00894edddf9ee23f715b9cbc90ed766078f915c50167e"
            ]
          }, 
          {
            "name": "dimensions_id", 
            "type": "PropertyValue", 
            "value": [
              "pub.1048409307"
            ]
          }
        ], 
        "sameAs": [
          "https://doi.org/10.1007/bf00283166", 
          "https://app.dimensions.ai/details/publication/pub.1048409307"
        ], 
        "sdDataset": "articles", 
        "sdDatePublished": "2019-04-15T08:50", 
        "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/v90/0000000374_0000000374/records_119732_00000001.jsonl", 
        "type": "ScholarlyArticle", 
        "url": "http://link.springer.com/10.1007/BF00283166"
      }
    ]
     

    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/bf00283166'

    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/bf00283166'

    Turtle is a human-readable linked data format.

    curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/bf00283166'

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

    curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/bf00283166'


     

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

    175 TRIPLES      21 PREDICATES      58 URIs      19 LITERALS      7 BLANK NODES

    Subject Predicate Object
    1 sg:pub.10.1007/bf00283166 schema:about anzsrc-for:09
    2 anzsrc-for:0912
    3 schema:author Nfb1f4ea54da54af69361e7d79b7fbc3d
    4 schema:citation sg:pub.10.1007/978-3-642-46015-9
    5 sg:pub.10.1007/978-3-642-65318-6
    6 sg:pub.10.1007/bf00276554
    7 sg:pub.10.1007/bf00281714
    8 sg:pub.10.1007/bf00282437
    9 sg:pub.10.1007/bf00283864
    10 sg:pub.10.1007/bf00297992
    11 sg:pub.10.1007/bf00883191
    12 sg:pub.10.1007/bf01177284
    13 sg:pub.10.1007/bf01179824
    14 sg:pub.10.1007/bf01184851
    15 sg:pub.10.1007/bf01262690
    16 sg:pub.10.1007/bf01601674
    17 https://doi.org/10.1016/0020-7225(71)90089-9
    18 https://doi.org/10.1016/0020-7225(74)90009-3
    19 https://doi.org/10.1016/0020-7225(78)90014-9
    20 https://doi.org/10.1016/0020-7225(78)90017-4
    21 https://doi.org/10.1016/0020-7683(70)90035-1
    22 https://doi.org/10.1016/0020-7683(73)90088-7
    23 https://doi.org/10.1016/0022-5096(74)90033-7
    24 https://doi.org/10.1016/0031-8914(72)90085-7
    25 https://doi.org/10.1016/b978-0-12-240802-1.50013-4
    26 https://doi.org/10.1016/s0022-460x(74)80105-7
    27 https://doi.org/10.1063/1.1663044
    28 https://doi.org/10.1090/qam/189346
    29 https://doi.org/10.1093/qjmam/21.2.147
    30 https://doi.org/10.1093/qjmam/30.2.209
    31 https://doi.org/10.1103/revmodphys.33.239
    32 https://doi.org/10.1115/1.3408772
    33 https://doi.org/10.1115/1.3601237
    34 https://doi.org/10.1177/002199837300700108
    35 schema:datePublished 1983-03
    36 schema:datePublishedReg 1983-03-01
    37 schema:description An existing description of composite materials modeled as interpenetrating solid continua is extended to include constitutive response functionals over the histories of the constitutive variables of the n-consistent composite. As in the earlier work, the relative displacement of the individual constituents is required to be infinitesimal in order that the composite not rupture even though the motion of the combined composite is finite. Conditions on the response functionals under the assumption of fading memory are obtained from the Clausius-Duhem inequality for the combined composite. Relaxation and cyclical processes are discussed and it is shown that the equilibrium response of the composite considered is the same as that of the elastic composites treated in the earlier work. Some detailed results are obtained for the case of two-constituents under the additional assumption of finite linear viscoelastic response.
    38 schema:genre research_article
    39 schema:inLanguage en
    40 schema:isAccessibleForFree false
    41 schema:isPartOf N9edb7175c749477a8f62208a5574c621
    42 Nc2d2b2fd13794f1285d6b3d80b764e7e
    43 sg:journal.1047617
    44 schema:name A theory of viscoelastic composites modeled as interpenetrating solid continua with memory
    45 schema:pagination 21-51
    46 schema:productId N0c3328b8c5bd45a79ef324fbc2bfa618
    47 N63f3309f6ac34c349414e2b99d83549a
    48 N6eb0e6d3370c4936947d21a5080f6083
    49 schema:sameAs https://app.dimensions.ai/details/publication/pub.1048409307
    50 https://doi.org/10.1007/bf00283166
    51 schema:sdDatePublished 2019-04-15T08:50
    52 schema:sdLicense https://scigraph.springernature.com/explorer/license/
    53 schema:sdPublisher Nb432b09133e64a6fa8a5ff467b43cbf8
    54 schema:url http://link.springer.com/10.1007/BF00283166
    55 sgo:license sg:explorer/license/
    56 sgo:sdDataset articles
    57 rdf:type schema:ScholarlyArticle
    58 N0c3328b8c5bd45a79ef324fbc2bfa618 schema:name readcube_id
    59 schema:value e69d15e852d67ed673d00894edddf9ee23f715b9cbc90ed766078f915c50167e
    60 rdf:type schema:PropertyValue
    61 N2b3f9009e9d84064b794dd223dd4e329 rdf:first sg:person.012065264574.93
    62 rdf:rest rdf:nil
    63 N63f3309f6ac34c349414e2b99d83549a schema:name doi
    64 schema:value 10.1007/bf00283166
    65 rdf:type schema:PropertyValue
    66 N6eb0e6d3370c4936947d21a5080f6083 schema:name dimensions_id
    67 schema:value pub.1048409307
    68 rdf:type schema:PropertyValue
    69 N9edb7175c749477a8f62208a5574c621 schema:issueNumber 1
    70 rdf:type schema:PublicationIssue
    71 Nb432b09133e64a6fa8a5ff467b43cbf8 schema:name Springer Nature - SN SciGraph project
    72 rdf:type schema:Organization
    73 Nc2d2b2fd13794f1285d6b3d80b764e7e schema:volumeNumber 81
    74 rdf:type schema:PublicationVolume
    75 Nfb1f4ea54da54af69361e7d79b7fbc3d rdf:first sg:person.014027446532.09
    76 rdf:rest N2b3f9009e9d84064b794dd223dd4e329
    77 anzsrc-for:09 schema:inDefinedTermSet anzsrc-for:
    78 schema:name Engineering
    79 rdf:type schema:DefinedTerm
    80 anzsrc-for:0912 schema:inDefinedTermSet anzsrc-for:
    81 schema:name Materials Engineering
    82 rdf:type schema:DefinedTerm
    83 sg:journal.1047617 schema:issn 0003-9527
    84 1432-0673
    85 schema:name Archive for Rational Mechanics and Analysis
    86 rdf:type schema:Periodical
    87 sg:person.012065264574.93 schema:affiliation https://www.grid.ac/institutes/grid.33647.35
    88 schema:familyName Tiersten
    89 schema:givenName H. F.
    90 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.012065264574.93
    91 rdf:type schema:Person
    92 sg:person.014027446532.09 schema:affiliation https://www.grid.ac/institutes/grid.33647.35
    93 schema:familyName McCarthy
    94 schema:givenName M. F.
    95 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014027446532.09
    96 rdf:type schema:Person
    97 sg:pub.10.1007/978-3-642-46015-9 schema:sameAs https://app.dimensions.ai/details/publication/pub.1022962062
    98 https://doi.org/10.1007/978-3-642-46015-9
    99 rdf:type schema:CreativeWork
    100 sg:pub.10.1007/978-3-642-65318-6 schema:sameAs https://app.dimensions.ai/details/publication/pub.1004543084
    101 https://doi.org/10.1007/978-3-642-65318-6
    102 rdf:type schema:CreativeWork
    103 sg:pub.10.1007/bf00276554 schema:sameAs https://app.dimensions.ai/details/publication/pub.1002889302
    104 https://doi.org/10.1007/bf00276554
    105 rdf:type schema:CreativeWork
    106 sg:pub.10.1007/bf00281714 schema:sameAs https://app.dimensions.ai/details/publication/pub.1007420273
    107 https://doi.org/10.1007/bf00281714
    108 rdf:type schema:CreativeWork
    109 sg:pub.10.1007/bf00282437 schema:sameAs https://app.dimensions.ai/details/publication/pub.1034730059
    110 https://doi.org/10.1007/bf00282437
    111 rdf:type schema:CreativeWork
    112 sg:pub.10.1007/bf00283864 schema:sameAs https://app.dimensions.ai/details/publication/pub.1017683262
    113 https://doi.org/10.1007/bf00283864
    114 rdf:type schema:CreativeWork
    115 sg:pub.10.1007/bf00297992 schema:sameAs https://app.dimensions.ai/details/publication/pub.1020318221
    116 https://doi.org/10.1007/bf00297992
    117 rdf:type schema:CreativeWork
    118 sg:pub.10.1007/bf00883191 schema:sameAs https://app.dimensions.ai/details/publication/pub.1006729593
    119 https://doi.org/10.1007/bf00883191
    120 rdf:type schema:CreativeWork
    121 sg:pub.10.1007/bf01177284 schema:sameAs https://app.dimensions.ai/details/publication/pub.1033124253
    122 https://doi.org/10.1007/bf01177284
    123 rdf:type schema:CreativeWork
    124 sg:pub.10.1007/bf01179824 schema:sameAs https://app.dimensions.ai/details/publication/pub.1011657002
    125 https://doi.org/10.1007/bf01179824
    126 rdf:type schema:CreativeWork
    127 sg:pub.10.1007/bf01184851 schema:sameAs https://app.dimensions.ai/details/publication/pub.1002153969
    128 https://doi.org/10.1007/bf01184851
    129 rdf:type schema:CreativeWork
    130 sg:pub.10.1007/bf01262690 schema:sameAs https://app.dimensions.ai/details/publication/pub.1000331721
    131 https://doi.org/10.1007/bf01262690
    132 rdf:type schema:CreativeWork
    133 sg:pub.10.1007/bf01601674 schema:sameAs https://app.dimensions.ai/details/publication/pub.1046664765
    134 https://doi.org/10.1007/bf01601674
    135 rdf:type schema:CreativeWork
    136 https://doi.org/10.1016/0020-7225(71)90089-9 schema:sameAs https://app.dimensions.ai/details/publication/pub.1035206360
    137 rdf:type schema:CreativeWork
    138 https://doi.org/10.1016/0020-7225(74)90009-3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1022924474
    139 rdf:type schema:CreativeWork
    140 https://doi.org/10.1016/0020-7225(78)90014-9 schema:sameAs https://app.dimensions.ai/details/publication/pub.1003476816
    141 rdf:type schema:CreativeWork
    142 https://doi.org/10.1016/0020-7225(78)90017-4 schema:sameAs https://app.dimensions.ai/details/publication/pub.1037817848
    143 rdf:type schema:CreativeWork
    144 https://doi.org/10.1016/0020-7683(70)90035-1 schema:sameAs https://app.dimensions.ai/details/publication/pub.1017761808
    145 rdf:type schema:CreativeWork
    146 https://doi.org/10.1016/0020-7683(73)90088-7 schema:sameAs https://app.dimensions.ai/details/publication/pub.1042042772
    147 rdf:type schema:CreativeWork
    148 https://doi.org/10.1016/0022-5096(74)90033-7 schema:sameAs https://app.dimensions.ai/details/publication/pub.1000890036
    149 rdf:type schema:CreativeWork
    150 https://doi.org/10.1016/0031-8914(72)90085-7 schema:sameAs https://app.dimensions.ai/details/publication/pub.1040737593
    151 rdf:type schema:CreativeWork
    152 https://doi.org/10.1016/b978-0-12-240802-1.50013-4 schema:sameAs https://app.dimensions.ai/details/publication/pub.1034993163
    153 rdf:type schema:CreativeWork
    154 https://doi.org/10.1016/s0022-460x(74)80105-7 schema:sameAs https://app.dimensions.ai/details/publication/pub.1044346030
    155 rdf:type schema:CreativeWork
    156 https://doi.org/10.1063/1.1663044 schema:sameAs https://app.dimensions.ai/details/publication/pub.1057741429
    157 rdf:type schema:CreativeWork
    158 https://doi.org/10.1090/qam/189346 schema:sameAs https://app.dimensions.ai/details/publication/pub.1059347764
    159 rdf:type schema:CreativeWork
    160 https://doi.org/10.1093/qjmam/21.2.147 schema:sameAs https://app.dimensions.ai/details/publication/pub.1059984045
    161 rdf:type schema:CreativeWork
    162 https://doi.org/10.1093/qjmam/30.2.209 schema:sameAs https://app.dimensions.ai/details/publication/pub.1059984402
    163 rdf:type schema:CreativeWork
    164 https://doi.org/10.1103/revmodphys.33.239 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060838017
    165 rdf:type schema:CreativeWork
    166 https://doi.org/10.1115/1.3408772 schema:sameAs https://app.dimensions.ai/details/publication/pub.1062118444
    167 rdf:type schema:CreativeWork
    168 https://doi.org/10.1115/1.3601237 schema:sameAs https://app.dimensions.ai/details/publication/pub.1062132572
    169 rdf:type schema:CreativeWork
    170 https://doi.org/10.1177/002199837300700108 schema:sameAs https://app.dimensions.ai/details/publication/pub.1063623933
    171 rdf:type schema:CreativeWork
    172 https://www.grid.ac/institutes/grid.33647.35 schema:alternateName Rensselaer Polytechnic Institute
    173 schema:name Department of Mechanical Engineering, Aeronautical Engineering & Mechanics Rensselaer Polytechnic Institute, 12181, Troy, New York
    174 National University of Ireland University College, Galway, Ireland
    175 rdf:type schema:Organization
     




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


    ...