Three-dimensional elasticity

Bibliographic Information

Three-dimensional elasticity

Philippe G. Ciarlet

(Studies in mathematics and its applications, v. 20 . Mathematical elasticity ; v. 1)

North-Holland, 1993

  • : pbk

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Note

Bibliography: p. 409-433

Includes index

Description and Table of Contents

Description

This volume is a thorough introduction to contemporary research in elasticity, and may be used as a working textbook at the graduate level for courses in pure or applied mathematics or in continuum mechanics. It provides a thorough description (with emphasis on the nonlinear aspects) of the two competing mathematical models of three-dimensional elasticity, together with a mathematical analysis of these models. The book is as self-contained as possible.

Table of Contents

Part A. Description of Three-Dimensional Elasticity 1. Geometrical and other preliminaries. 2. The equations of equilibrium and the principle of virtual work. 3. Elastic materials and their constitutive equations. 4. Hyperelasticity. 5. The boundary value problems of three-dimensional elasticity. Part B. Mathematical Methods in Three-Dimensional Elasticity 6. Existence theory based on the implicit function theorem. 7. Existence theory based on the minimization of the Energy. Bibliography. Index.

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Details

  • NCID
    BA23533060
  • ISBN
    • 044481776X
  • Country Code
    ne
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Amsterdam ; Tokyo
  • Pages/Volumes
    xl, 451 p.
  • Size
    23 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
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