Plasticity Mathematical Theory and Numerical Analysis /

• Main Authors: Han, Weimin (Author), Reddy, B. Daya (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 1999.
• Series: Interdisciplinary Applied Mathematics, 9
• Subjects: Engineering.; Mechanics.; Mechanics, Applied.; Theoretical and Applied Mechanics.

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 pro...

Table of Contents:

• Continuum Mechanics and Elastoplasticity Theory
• Preliminaries
• Continuum Mechanics and Linear Elasticity
• Elastoplastic Media
• The Plastic Flow Law in a Convex-Analytic Setting
• 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
• Numerical Analysis of the Variational Problems
• 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.