Nonlinear Problems of Elasticity

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 carefu...

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Detalles Bibliográficos
Autor Principal: Antman, Stuart S., 1939-
Formato: Livre numérique
Idioma:Anglais
Publicado: New York, NY : Springer New York [20..].
Cham : Springer Nature
Edición:2nd Edition.
Series:Applied Mathematical Sciences 107
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Edition sous un autre format:• Nonlinear problems of elasticity, Stuart S. Antman, 2nd edition, New York, Springer, 2005, 1 volume (XVIII-831 pages), Applied mathematical sciences, 0-387-20880-1
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245 1 0 |a Nonlinear Problems of Elasticity   |c by Stuart S. Antman. 
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505 1 |a Background The Equations of Motion for Extensible Strings Elementary Problems for Elastic Strings Planar Steady-State Problems for Elastic Rods to Bifurcation Theory and its Applications to Elasticity Global Bifurcation Problems for Strings and Rods Variational Methods Theory of Rods Deforming in Space Spatial Problems for Rods Axisymmetric Equilibria of Shells Tensors 3-Dimensional Continuum Mechanics 3-Dimensional Theory of Nonlinear Elasticity Problems in Nonlinear Elasticity Large-Strain Plasticity General Theories of Rods General Theories of Shells Dynamical Problems Appendix. Topics in Linear Analysis Appendix. Local Nonlinear Analysis Appendix. Degree Theory 
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520 |a 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. Reviews of the first edition: ``A scholarly work, it is uncompromising in its approach to model formulation, while achieving striking generality in the analysis of particular problems. It will undoubtedly become a standard research reference in elasticity but will be appreciated also by teachers of both solid mechanics and applied analysis for its clear derivation of equations and wealth of examples.'' --- J. M. Ball, (Bulletin of the American Mathematical Society), 1996. ``It is destined to become a standard reference in the field which belongs on the bookshelf of anyone working on the application of mathematics to continuum mechanics. For graduate students, it provides a fascinating introduction to an active field of mathematical research.'' --- M. Renardy, (SIAM Review), 1995. ``The monograph is a masterpiece for writing a modern theoretical treatise on a field of natural sciences. It is highly recommended to all scientists, engineers and mathematicians interested in a careful treatment of uncompromised nonlinear problems of elasticity, and it is a `must' for applied mathematicians working on such problems.'' --- L. v Wolfersdorf, (Zeitschrift fur Angewandte Mathematik und Mechanik), 1995 
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