Focussing on theoretical aspects of the small-strain theory of hardening elastoplasticity, this monograph provides a comprehensive and unified treatment of the mathematical theory and numerical analysis, exploiting in particular the great advantages gained by placing the theory in a convex analytic context. Divided into three parts, the first part of the text provides a detailed introduction to plasticity, in which the mechanics of elastoplastic behaviour is emphasised, while the second part is taken up with mathematical analysis of the elastoplasticity problem. The third part is devoted to error analysis of various semi-discrete and fully discrete approximations for variational formulations of the elastoplasticity.
Plasticity
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First Sentence:
The theory of elastoplastic media is now a mature branch of solid and structural mechanics, having experienced significant development during the latter half of this century. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
elastoplasticity problem, primal variational problem, combined linear kinematic, tangent predictor, maximum plastic work inequality, maximal responsive, dual variational problem, secant predictor, pointwise stable, plastic flow law, order error estimates, elastic predictor, normality law, elastoplastic media, interpolation error estimates, parabolic variational inequalities, elliptic variational inequalities, posteriori error analysis, affine families, elliptic variational inequality, conjugate forces, derive error estimates, parabolic variational inequality, corrector step, regularization function Key Phrases - Capitalized Phrases (CAPs): (learn more)
Crank Nicolson, Balance of Momentum, Cauchy Schwarz, Babuska Brezzi, Using Assumption New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
The theory of elastoplastic media is now a mature branch of solid and structural mechanics, having experienced significant development during the latter half of this century. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
elastoplasticity problem, primal variational problem, combined linear kinematic, tangent predictor, maximum plastic work inequality, maximal responsive, dual variational problem, secant predictor, pointwise stable, plastic flow law, order error estimates, elastic predictor, normality law, elastoplastic media, interpolation error estimates, parabolic variational inequalities, elliptic variational inequalities, posteriori error analysis, affine families, elliptic variational inequality, conjugate forces, derive error estimates, parabolic variational inequality, corrector step, regularization function Key Phrases - Capitalized Phrases (CAPs): (learn more)
Crank Nicolson, Balance of Momentum, Cauchy Schwarz, Babuska Brezzi, Using Assumption New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 41
books:
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- Convex Analysis (Princeton Landmarks in Mathematics and Physics) by Ralph Tyrell Rockafellar in Back Matter (1), and Back Matter (2)
- Computational Inelasticity (Interdisciplinary Applied Mathematics) (v. 7) by J.C. Simo in Back Matter (1), and Back Matter (2)
- Numerical Solution of Partial Differential Equations by the Finite Element Method by Claes Johnson in Back Matter
- Introduction to Rational Elasticity (Mechanics of Continua) by C.C. Wang in Back Matter
- Numerical Methods for Nonlinear Variational Problems (Scientific Computation) by Roland Glowinski in Back Matter
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