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Interdisciplinary Applied Mathematics #09: Plasticity

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Interdisciplinary Applied Mathematics #09: Plasticity Cover

 

Synopses & Reviews

Publisher Comments:

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.

Synopsis:

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.

Description:

Includes bibliographical references (p. [355]-364) and index.

Table of Contents

I Continuum Mechanics and Elastoplasticity: Theory. Introduction. Continuum Mechanics and Linear Elasticity. Elastoplastic Media. The Plastic Flow Law in a Convex Analytic Setting.- II The Variational Problems of Elastoplasticity: Results from Functional Analysis and Function Spaces. Variational Equations and Inequalities. The Primal Variational Problem of Elastoplasticity. The Dual Variational Problem of Elastoplasticity.- III Numerical Analysis of the Variational Problems 201: Introduction to Finite Element Analysis. Approximation of Variational Problems. Approximations of the Abstract Problem. Numerical Analysis of the Primal Problem. Numerical Analysis of the Dual Problem. References.

Product Details

ISBN:
9780387987040
Editor:
Wiggins, S.
Author:
Reddy, B. Dayanand
Author:
Han, W.
Author:
Han, Weimin
Author:
Reddy, B. Daya
Author:
Wiggins, S.
Publisher:
Springer
Location:
New York
Subject:
General
Subject:
Mechanics
Subject:
Engineering - Mechanical
Subject:
Mathematical Analysis
Subject:
Numerical analysis
Subject:
Plasticity
Subject:
Analyse numâerique
Subject:
Plasticitâe
Subject:
Mechanics - General
Subject:
Theoretical and Applied Mechanics
Subject:
Mathematics-Analysis General
Copyright:
Edition Number:
1
Edition Description:
Book
Series:
Interdisciplinary Applied Mathematics
Series Volume:
09
Publication Date:
April 1999
Binding:
HARDCOVER
Language:
English
Illustrations:
Y
Pages:
384
Dimensions:
235 x 155 mm 1610 gr

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Engineering » Mechanical Engineering » General
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Interdisciplinary Applied Mathematics #09: Plasticity New Hardcover
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Product details 384 pages Springer-Verlag - English 9780387987040 Reviews:
"Synopsis" by , 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.
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