000 04129nam a22005175i 4500
001 978-1-4614-5940-8
003 DE-He213
005 20140220082822.0
007 cr nn 008mamaa
008 121116s2013 xxu| s |||| 0|eng d
020 _a9781461459408
_9978-1-4614-5940-8
024 7 _a10.1007/978-1-4614-5940-8
_2doi
050 4 _aQA297-299.4
072 7 _aPBKS
_2bicssc
072 7 _aMAT021000
_2bisacsh
072 7 _aMAT006000
_2bisacsh
082 0 4 _a518
_223
100 1 _aHan, Weimin.
_eauthor.
245 1 0 _aPlasticity
_h[electronic resource] :
_bMathematical Theory and Numerical Analysis /
_cby Weimin Han, B. Daya Reddy.
250 _a2nd ed. 2013.
264 1 _aNew York, NY :
_bSpringer New York :
_bImprint: Springer,
_c2013.
300 _aXV, 421 p. 41 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aInterdisciplinary Applied Mathematics,
_x0939-6047 ;
_v9
505 0 _aPreface to the Second Edition -- Preface to the First Edition.-Preliminaries -- Continuum Mechanics and Linearized Elasticity -- Elastoplastic Media -- The Plastic Flow Law in a Convex-Analytic Setting -- Basics of Functional Analysis and Function Spaces -- Variational Equations and Inequalities -- The Primal Variational Problem of Elastoplasticity -- The Dual Variational Problem of Classical Elastoplasticity -- Introduction to Finite Element Analysis -- Approximation of Variational Problems -- Approximations of the Abstract Problem -- Numerical Analysis of the Primal Problem -- References -- Index.-.
520 _aThis book focuses on the theoretical aspects of small strain theory of elastoplasticity with hardening assumptions. It provides a comprehensive and  unified treatment of the mathematical theory and numerical analysis. It is divided into three parts, with the first part providing a detailed introduction to plasticity, the second part covering the mathematical analysis of the elasticity problem, and the third part devoted to error analysis of various semi-discrete and fully discrete approximations for variational formulations of the elastoplasticity. This revised and expanded edition includes material on single-crystal and strain-gradient plasticity. In addition, the entire book has been revised to make it more accessible to readers who are actively involved in computations but less so in numerical analysis.   Reviews of earlier edition:   “The authors have written an excellent book which can be recommended for specialists in plasticity who wish to know more about the mathematical theory, as well as those with a background in the mathematical sciences who seek a self-contained account of the mechanics and mathematics of plasticity theory.” (ZAMM, 2002)   “In summary, the book represents an impressive comprehensive overview of the mathematical approach to the theory and numerics of plasticity. Scientists as well as lecturers and graduate students will find the book very useful as a reference for research or for preparing courses in this field.” (Technische Mechanik) "The book is professionally written and will be a useful reference to researchers and students interested in mathematical and numerical problems of plasticity. It represents a major contribution in the area of continuum mechanics and numerical analysis."  (Math Reviews)
650 0 _aMathematics.
650 0 _aNumerical analysis.
650 0 _aMechanics, applied.
650 0 _aMaterials.
650 1 4 _aMathematics.
650 2 4 _aNumerical Analysis.
650 2 4 _aTheoretical and Applied Mechanics.
650 2 4 _aContinuum Mechanics and Mechanics of Materials.
700 1 _aReddy, B. Daya.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781461459392
830 0 _aInterdisciplinary Applied Mathematics,
_x0939-6047 ;
_v9
856 4 0 _uhttp://dx.doi.org/10.1007/978-1-4614-5940-8
912 _aZDB-2-SMA
999 _c95543
_d95543