Plasticity: Mathematical Theory and Numerical Analysis
Author:   Weimin Han ,  B. Daya Reddy (University of Cape Town, Rondebosch, South Africa)
Publisher:   Springer-Verlag New York Inc.
Volume:   v. 9
ISBN:  

9780387987040


Pages:   384
Publication Date:   23 April 1999
Format:   Hardback
Availability:   In Print   Availability explained
Limited stock is available. It will be ordered for you and shipped pending supplier's limited stock.

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Plasticity: Mathematical Theory and Numerical Analysis


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Overview

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.

Full Product Details

Author:   Weimin Han ,  B. Daya Reddy (University of Cape Town, Rondebosch, South Africa)
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Volume:   v. 9
Dimensions:   Width: 15.60cm , Height: 2.30cm , Length: 23.40cm
Weight:   0.730kg
ISBN:  

9780387987040


ISBN 10:   0387987045
Pages:   384
Publication Date:   23 April 1999
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Out of Print
Availability:   In Print   Availability explained
Limited stock is available. It will be ordered for you and shipped pending supplier's limited stock.

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.

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