000 04608nam a22005055i 4500
001 978-0-387-27649-6
003 DE-He213
005 20161121230925.0
007 cr nn 008mamaa
008 100301s2005 xxu| s |||| 0|eng d
020 _a9780387276496
_9978-0-387-27649-6
024 7 _a10.1007/0-387-27649-1
_2doi
050 4 _aQA299.6-433
072 7 _aPBK
_2bicssc
072 7 _aMAT034000
_2bisacsh
082 0 4 _a515
_223
100 1 _aAntman, Stuart S.
_eauthor.
245 1 0 _aNonlinear Problems of Elasticity
_h[electronic resource] /
_cby Stuart S. Antman.
250 _aSecond Edition.
264 1 _aNew York, NY :
_bSpringer New York,
_c2005.
300 _aXVIII, 838 p. 110 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aApplied Mathematical Sciences,
_x0066-5452 ;
_v107
505 0 _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.
520 _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.
650 0 _aMathematics.
650 0 _aMathematical analysis.
650 0 _aAnalysis (Mathematics).
650 0 _aPhysics.
650 0 _aComputational intelligence.
650 1 4 _aMathematics.
650 2 4 _aAnalysis.
650 2 4 _aTheoretical, Mathematical and Computational Physics.
650 2 4 _aComputational Intelligence.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780387208800
830 0 _aApplied Mathematical Sciences,
_x0066-5452 ;
_v107
856 4 0 _uhttp://dx.doi.org/10.1007/0-387-27649-1
912 _aZDB-2-SMA
950 _aMathematics and Statistics (Springer-11649)
999 _c505994
_d505994