Computational methods in elasticity and plasticity : solids and porous media

著者

    • Anandarajah, A.

書誌事項

Computational methods in elasticity and plasticity : solids and porous media

A. Anandarajah

Springer, c2010

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注記

Includes bibliographical references (p. 635-643) and index

内容説明・目次

内容説明

Computational Methods in Elasticity and Plasticity: Solids and Porous Media presents the latest developments in the area of elastic and elasto-plastic finite element modeling of solids, porous media and pressure-dependent materials and structures. The book covers the following topics in depth: the mathematical foundations of solid mechanics, the finite element method 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.

目次

Mathematical Foundations.- Governing Equations in Solid Mechanics.- Elastic Constitutive Laws.- Finite Element Analysis of Solids and Structures.- Governing Equations in Porous Media.- Finite Element Analysis of Porous Media.- Methods of Nonlinear Analysis.- Theory of Rate-Independent Elasto-Plasticity.- Methods of Integrating Elasto-Plastic Constitutive Equations.- The von Mises Model and Its Integration.- The Modified Cam-Clay Model and Its Integration.- The Drucker-Prager Model and Its Integration.- The Sliding-Rolling Granular Material Model and Its Integration.

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