Plasticity: Mathematical Theory and Numerical Analysis (Interdisciplinary Applied Mathematics)

Han, Weimin; Reddy, B. Daya

ISBN 10: 0387987045 / ISBN 13: 9780387987040

Editore: Springer, 1999

Riguardo questo articolo

Brand new book. Fast ship. Please provide full street address as we are not able to ship to P O box address.

Codice articolo SHUB90393

Dati bibliografici

• Titolo: Plasticity: Mathematical Theory and Numerical Analysis (Interdisciplinary Applied Mathematics)
• Editore: Springer
• Data di pubblicazione: 1999
• Lingua: Inglese
• ISBN 10: 0387987045
• ISBN 13: 9780387987040
• Rilegatura: Rilegato
• Condizione: nuovo

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.