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Differential Geometry And Kinematics Of Continua

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Title: Differential Geometry And Kinematics Of Continua
Description: This book provides definitions and mathematical derivations of fundamental relationships of tensor analysis encountered in nonlinear continuum mechanics and continuum physics, with a focus on finite deformation kinematics and classical differential geometry. Of particular interest are anholonomic aspects arising from a multiplicative decomposition of the deformation gradient into two terms, neither of which in isolation necessarily obeys the integrability conditions satisfied by the gradient of a smooth vector field. The concise format emphasizes clarity and ease of reference, and detailed step-by-step derivations of most analytical results are provided.
Authors: John D Clayton
Resource Type: eBook.
Subjects: Field theory (Physics), Geometry, Differential, Calculus of tensors, Continuum mechanics
Categories: MATHEMATICS / Geometry / Differential, MATHEMATICS / Applied, SCIENCE / Mechanics / General
Database: eBook Collection (EBSCOhost)
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  – Type: ebook-pdf
  – Type: ebook-epub
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  Availability: 0
Header DbId: nlebk
DbLabel: eBook Collection (EBSCOhost)
An: 824752
RelevancyScore: 1057
AccessLevel: 6
PubType: eBook
PubTypeId: ebook
PreciseRelevancyScore: 1057.36352539063
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  Data: Differential Geometry And Kinematics Of Continua
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  Data: This book provides definitions and mathematical derivations of fundamental relationships of tensor analysis encountered in nonlinear continuum mechanics and continuum physics, with a focus on finite deformation kinematics and classical differential geometry. Of particular interest are anholonomic aspects arising from a multiplicative decomposition of the deformation gradient into two terms, neither of which in isolation necessarily obeys the integrability conditions satisfied by the gradient of a smooth vector field. The concise format emphasizes clarity and ease of reference, and detailed step-by-step derivations of most analytical results are provided.
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  Data: <searchLink fieldCode="AR" term="%22John+D+Clayton%22">John D Clayton</searchLink>
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  Data: <searchLink fieldCode="DE" term="%22Field+theory+%28Physics%29%22">Field theory (Physics)</searchLink><br /><searchLink fieldCode="DE" term="%22Geometry%2C+Differential%22">Geometry, Differential</searchLink><br /><searchLink fieldCode="DE" term="%22Calculus+of+tensors%22">Calculus of tensors</searchLink><br /><searchLink fieldCode="DE" term="%22Continuum+mechanics%22">Continuum mechanics</searchLink>
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RecordInfo BibRecord:
  BibEntity:
    Classifications:
      – Code: 531.1130151636
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Field theory (Physics)
        Type: general
      – SubjectFull: Geometry, Differential
        Type: general
      – SubjectFull: Calculus of tensors
        Type: general
      – SubjectFull: Continuum mechanics
        Type: general
    Titles:
      – TitleFull: Differential Geometry And Kinematics Of Continua
        Type: main
  BibRelationships:
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      – PersonEntity:
          Name:
            NameFull: John D Clayton
      – PersonEntity:
          Name:
            NameFull: John D Clayton
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          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2014
            – D: 13
              M: 08
              Type: profile
              Y: 2014
          Identifiers:
            – Type: isbn-print
              Value: 9789814616034
            – Type: isbn-electronic
              Value: 9789814616041
            – Type: isbn-electronic
              Value: 9789814616058
          Titles:
            – TitleFull: Differential Geometry And Kinematics Of Continua
              Type: main
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