Three-dimensional elasticity
Author(s)
Bibliographic Information
Three-dimensional elasticity
（Studies in mathematics and its applications, v. 20 . Mathematical elasticity ; v. 1）
North-Holland, 1988
- paperaback edition
Available at / 48 libraries
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
DC19:531.3/C4812070300561
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Note
Bibliography: p. 409-433
Includes index
Description and Table of Contents
- Volume
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ISBN 9780444702593
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. 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.
- Volume
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paperaback edition ISBN 9780444817761
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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