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Nonlinear Problems of Elasticity (Applied Mathematical Sciences S. v. 107), 2nd Ed 854 pages - hardback Springer-Verlag New York Inc. - (isbn 0-387-20880-1) Feb. 2004 |
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| Price: |
117,99 EUR
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| Author(s): |
Antman, Stuart S.
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| Description: |
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.
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| Contents List: |
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 it's
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 * 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 and it's Applications *
References * Index.
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| Illustrations etc.: |
110 illustrations
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| Publisher: | Springer-Verlag New York Inc. | |||||||
| Springer-Verlag | ||||||||