Plasticity mathematical theory and numerical analysis Weimin Han, B. Daya Reddy. Interdisciplinary applied mathematics 9.

Han, Weimin:

ISBN 10: 0387987045 / ISBN 13: 9780387987040

Editore: New York, Springer, 1999

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Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 74 HAN 9780387987040 Sprache: Englisch Gewicht in Gramm: 550. Codice articolo 2498500

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Titolo: Plasticity mathematical theory and numerical...

Casa editrice: New York, Springer

Data di pubblicazione: 1999

Legatura: Hardcover

Descrizione articolo

Riassunto:

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.

Contenuti:

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.