Stuart S. Antman. Nonlinear Problems of Elasticity. With Illustrations. Springer-Verlag. New York Berlin Heidelberg London Paris. Tokyo Hong Kong. Elasticity theory is the central model of solid mechanics. Properly formulated, it gives rise to formidable nonlinear problems whose understanding is in many. Antman, S. S.: Nonlinear Problems of Elasticity. New York etc., Springer‐Verlag XVIII, pp., ill., DM —. (Applied Mathematics Sciences ).
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Nonlinear Problems of Elasticity. Description Enlarged, updated, and extensively revised, this second edition illuminates specific problems of nonlinear elasticity, emphasizing the role of nonlinear material response.
Opening chapters discuss strings, rods, and shells, and applications of bifurcation theory and the calculus of variations to problems for these bodies. Subsequent chapters cover tensors, three-dimensional continuum mechanics, three-dimensional elasticitygeneral theories of rods and shells, and dynamical problems. Each chapter includes interesting, challenging, and tractable exercises.
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Linear Integral Equations Rainer Kress. Back cover copy 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 pproblems 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 elasticitu 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 elasticityy on tensors, three-dimensional continuum mechanics, three-dimensional elasticity, large-strain plasticity, ealsticity theories of rods and shells, and dynamical problems.
Each chapter contains a wealth of interesting, challenging, and tractable exercises. Reviews of the first edition: 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.
Ball, Bulletin of the American Mathematical Society For graduate students, it provides a fascinating introduction to an active field of mathematical research. Review Text From the reviews of the second edition: The book has been reorganized and several parts have been added.
The already impressive body of references has been further expanded. The reviewer highly recommends this book both to graduate students and to scholars interested in the theory of elasticity. Every chapter is equipped by instructive exercises, unsolved problems and exhaustive historical comments.
The book could be very useful to applied mathematicians and engineers using in their works the elasticity theory and The text has been revised and updated, Several new sections have been added This book is a ‘must’ for researchers and graduate students interested in nonlinear continuum mechanics and applied analysis.
The work is scholarly and well written.
Review quote From the reviews of the second edition: Book ratings by Goodreads. Goodreads is the world’s largest site for readers with over 50 million reviews. We’re featuring millions of their reader ratings on our book pages to help you find your new favourite book.