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Computational Methods in Elasticity and Plasticity Volume 6869 || Governing Equations in Porous Media

✍ Scribed by Anandarajah, A.


Book ID
115480874
Publisher
Springer New York
Year
2010
Tongue
English
Weight
619 KB
Edition
2010
Category
Article
ISBN
1441963790

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✦ Synopsis


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


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The paper outlines a formulation of the cylindrical transport equations which describe simultaneous heat and mass transfer in unsaturated porous materials when a line heat resource is embedded in the medium. A macroscopic continuum mechanics approach is adopted to derive the coupled continuity, mome