TY - BOOK ID - 5375727 TI - Nonlinear problems of elasticity PY - 2005 SN - 0387208801 9786610308309 1280308303 0387276491 PB - New York (N.Y.) : Springer, DB - UniCat KW - Elasticity. KW - Nonlinear theories. KW - Elasticité KW - Théories non linéaires KW - Elasticity KW - Nonlinear theories KW - Engineering & Applied Sciences KW - Mathematics KW - Physical Sciences & Mathematics KW - Mathematical Theory KW - Applied Mathematics KW - Elasticité KW - Théories non linéaires KW - EPUB-LIV-FT LIVMATHE SPRINGER-B KW - Nonlinear problems KW - Nonlinearity (Mathematics) KW - Elastic properties KW - Young's modulus KW - Mathematics. KW - Mathematical analysis. KW - Analysis (Mathematics). KW - Physics. KW - Computational intelligence. KW - Analysis. KW - Theoretical, Mathematical and Computational Physics. KW - Computational Intelligence. KW - Intelligence, Computational KW - Artificial intelligence KW - Natural philosophy KW - Philosophy, Natural KW - Physical sciences KW - Dynamics KW - 517.1 Mathematical analysis KW - Mathematical analysis KW - Math KW - Science KW - Soft computing KW - Mathematical physics KW - Matter KW - Statics KW - Rheology KW - Strains and stresses KW - Strength of materials KW - Calculus KW - Properties KW - Global analysis (Mathematics). KW - Engineering. KW - Construction KW - Industrial arts KW - Technology KW - Analysis, Global (Mathematics) KW - Differential topology KW - Functions of complex variables KW - Geometry, Algebraic KW - Mathematical physics. KW - Physical mathematics KW - Physics UR - https://www.unicat.be/uniCat?func=search&query=sysid:5375727 AB - 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 interest ER -