Weimin Han, B. Daya Reddy

Plasticity (eBook, PDF)

Mathematical Theory and Numerical Analysis

• Format: PDF

Produktbeschreibung

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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Produktdetails

• Verlag: Springer US
• Seitenzahl: 373
• Erscheinungstermin: 17. Mai 2006
• Englisch
• ISBN-13: 9780387226576
• Artikelnr.: 43999667

Inhaltsangabe

Preface 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.-

Rezensionen

"The book is unique in its broad consideration of analytical and numerical aspects of plasticity. ... The book is well written and carefully presented overall. It presents a wealth of useful material otherwise absent from other plasticity books. It exposes both the interested mechanician and the interested mathematician to mathematical problems in plasticity in a unified manner, albeit to be pursued in their own way." (Anurag Gupta, SIAM Review, Vol. 58 (4), December, 2016)