Nonlinear Problems of Elasticity

Stuart S. Antman - Collection Applied Mathematical Sciences

854 pages, parution le 29/02/2004 (2^eme édition)

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Résumé

This second edition is an enlarged, completely updated, and extensively revised version of the authoritative first edition. It is devoted to the detailed study of illuminating specific problems of nonlinear elasticity, directed toward the scientist, engineer, and mathematician who wish to see careful treatments of precisely formulated problems. Special emphasis is placed on the role of nonlinear material response. The mathematical tools from nonlinear analysis are given self-contained presentations where they are needed. This book begins with chapters on (geometrically exact theories of) strings, rods, and shells, and on the applications of bifurcation theory and the calculus of variations to problems for these bodies. The book continues with chapters on tensors, three-dimensional continuum mechanics, three-dimensional elasticity, large-strain plasticity, general theories of rods and shells, and dynamical problems. Each chapter contains a wealth of interesting, challenging, and tractable exercises.

Sommaire

Preface
Background
The Equations of Motion for Extensible Strings
Elementary Problems for Elastic Strings
Planar Steady-State Problems for Elastic Rods
Introduction to Bifurcation Theory and its Applications to Elasticity
Global Bifurcation Problems for Strings and Rods
Theory of Rods Deforming in Space
Spatial Problems for Rods
Axisymmetric Equilibria of Shells
Tensors
3-Dimensional Continuum
3-Dimensional Theory of Nonlinear Elasticity
Problems in Nonlinear Elasticity
Large-Strain Plasticity
General Theories of Rods
General Theories of Shells
Dynamical Problems
Appendix A: Topics in Linear Analysis
Appendix B: Local Nonlinear Analysis
Appendix C: Degree Theory and its Applications
References
Index

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Stuart S. Antman
Collection	Applied Mathematical Sciences
Parution	29/02/2004
Édition	2^eme édition
Nb. de pages	854
Format	16 x 24
Couverture	Relié
Poids	1306g
Intérieur	Noir et Blanc
EAN13	9780387208800
ISBN13	978-0-387-20880-0