Three-dimensional elasticity

著者

• Ciarlet, Philippe G.

書誌事項

Three-dimensional elasticity

Philippe G. Ciarlet

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

North-Holland, 1988

• paperaback edition

注記

Bibliography: p. 409-433

Includes index

内容説明・目次

巻冊次

ISBN 9780444702593

内容説明

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.

目次

Part A: Description of Three-Dimensional Elasticity. Geometrical and other Preliminaries. The Equations of Equilibrium and the Principle of Virtual Work. Elastic Materials and their Constitutive Equations. Hyperelasticity. The Boundary Value Problems of Three-Dimensional Elasticity. Part B: Mathematical Methods in Three-Dimensional Elasticity. Existence Theory based on the Implicit Function Theorem. Existence Theory based on the Minimization of the Energy. Bibliography. Index.

巻冊次

paperaback edition ISBN 9780444817761

内容説明

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.

目次

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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詳細情報

• NII書誌ID(NCID): BA03720815
• ISBN:
  • 0444702598
  • 044481776X
• LCCN: 87023741
• 出版国コード: ne
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Amsterdam ; Tokyo
• ページ数/冊数: xl, 451 p.
• 大きさ: 23 cm
• 分類:
  • LCC : QA931
  • DC19 : 531/.381
  • NDC7 : 423.7
  • NDC7 : 501.33
• 件名:
  • LCSH : Elasticity
• 親書誌ID:
  • BA00192550