Ebook: Plasticity : mathematical theory and numerical analysis
Author: Weimin Han, B Dayanand Reddy
- Genre: Physics // Mechanics: Mechanics of deformable bodies
- Tags: Механика, Механика деформируемого твердого тела, Теория пластичности
- Series: Interdisciplinary applied mathematics v. 9
- Year: 2013
- Publisher: Springer
- City: New York
- Edition: 2ed.
- Language: English
- pdf
Part 1. Continuum Mechanics and Elastoplasticity Theory -- Preliminaries -- Continuum Mechanics and Linearized Elasticity -- Elastoplastic Media -- The Plastic Flow Law in a Convex-Analytic Setting -- Part 2. The Variational Problems of Elastoplasticity -- Basics of Functional Analysis and Function Spaces -- Variational Equations and Inequalities -- The Primal Variational Problem of Elastoplasticity -- The Dual Variational Problem of Classical Elastoplasticity -- Part 3. Numerical Analysis of the Variational Problems -- 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
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