Weimin Han, B. Daya Reddy

Plasticity (eBook, PDF)

Mathematical Theory and Numerical Analysis

• Format: PDF

Produktbeschreibung

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. This monograph focuses on theoretical aspects of the small-strain theory of hardening elastoplasticity. It is intended to provide a reasonably comprehensive and unified treatment of the mathematical theory and numerical analysis, exploiting in particular the great advantages to be gained by placing the theory in a convex analytic context. The work is intended for a wide audience: this would include specialists who wish to know more about the mathematical theory, as

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Produktdetails

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

Autorenporträt

Weimin Han is a Professor of Mathematics and Collegiate Fellow at the University of Iowa, and a Fellow of the American Mathematical Society. His current research interests are in interdisciplinary applied mathematics, numerical analysis, computational mechanics, computational engineering, especially in analysis, numerical solution and applications of variational-hemivariational inequalities. He has co-authored twelve books and over 220 research papers in peer-reviewed journals.

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)