Computational Methods in Elasticity and Plasticity: Solids and Porous Media

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Computational Methods in Elasticity and Plasticity: Solids and Porous Media presents the latest developments in the area of elastic and elasto-plasticfinite element modeling of solids, porous media and pressure-dependentmaterials and structures. The book covers the following topics in depth:the mathematical foundations of solid mechanics, the finite elementmethod for solids and porous media, the theory of plasticity and the finite element implementation of elasto-plastic constitutive models. The book also includes:

-A detailed coverage of elasticity for isotropic and anisotropic solids.

-A detailed treatment of nonlinear iterative methods that could be used for nonlinear elastic and elasto-plastic analyses.

-A detailed treatment of a kinematic hardening von Mises model that could be used to simulate cyclic behavior of solids.

-Discussion of recent advances in the analysis of porous media and pressure-dependent materials in more detail than other books currently available.

Computational Methods in Elasticity and Plasticity: Solids and Porous Media also contains problem sets, worked examples and a solutions manual for instructors.

Author(s): A. Anandarajah (auth.)
Edition: 1
Publisher: Springer-Verlag New York
Year: 2010

Language: English
Pages: 653
Tags: Theoretical and Applied Mechanics; Continuum Mechanics and Mechanics of Materials; Computational Mathematics and Numerical Analysis

Front Matter....Pages i-xv
Introduction....Pages 1-20
Mathematical Foundations....Pages 21-59
Governing Equations in Solid Mechanics....Pages 61-73
Elastic Constitutive Laws....Pages 75-96
Finite Element Analysis of Solids and Structures....Pages 97-188
Governing Equations in Porous Media....Pages 189-234
Finite Element Analysis of Porous Media....Pages 235-254
Methods of Nonlinear Analysis....Pages 255-276
Theory of Rate-Independent Elasto-Plasticity....Pages 277-337
Methods of Integrating Elasto-Plastic Constitutive Equations....Pages 339-374
The von Mises Model and Its Integration....Pages 375-422
The Modified Cam-Clay Model and Its Integration....Pages 423-512
The Drucker–Prager Model and Its Integration....Pages 513-560
The Sliding-Rolling Granular Material Model and Its Integration....Pages 561-588
Back Matter....Pages 645-653