04430nam a22004335i 4500001001800000003000900018005001700027007001500044008004100059020001800100020001900118024003100137040000900168082001200177100003100189245008600220250002000306264004600326300003600372336002600408337002600434338003900460347002400499490005300523505073900576520223001315650001703545650003503562650002603597650001703623650001403640650004403654650005603698710003403754773002003788776003603808830005303844856009903897978-0-387-27649-6DE-He21320260521091845.0cr nn 008mamaa100301s2005    xxu|    s    |||| 0|eng d  a9780387276496  a997803872764967 a10.1007/0-387-27649-12doi  cCICY04a5152231 aAntman, Stuart S.eauthor.10aNonlinear Problems of Elasticityh[recurso electrónico] /cby Stuart S. Antman.  aSecond Edition. 1aNew York, NY :bSpringer New York,c2005.  aXVIII, 838 p.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  arecurso en líneabcr2rdacarrier  atext filebPDF2rda1 aApplied Mathematical Sciences,x0066-5452 ;v1070 aBackground -- 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.  aThis 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. 0aMATHEMATICS. 0aGLOBAL ANALYSIS (MATHEMATICS). 0aMATHEMATICAL PHYSICS.14aMATHEMATICS.24aANALYSIS.24aMATHEMATICAL AND COMPUTATIONAL PHYSICS.24aNUMERICAL AND COMPUTATIONAL METHODS IN ENGINEERING.2 aSpringerLink (Online service)0 tSpringer eBooks08iPrinted edition:z9780387208800 0aApplied Mathematical Sciences,x0066-5452 ;v10740uhttp://dx.doi.org/10.1007/0-387-27649-1zVer el texto completo en las instalaciones del CICY