Computational Methods in Elasticity and Plasticity [electronic resource] : Solids and Porous Media / by A. Anandarajah.Material type: TextLanguage: English Publisher: New York, NY : Springer New York : Imprint: Springer, 2010Edition: FirstDescription: XV, 685p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9781441963796Subject(s): Engineering | Computer science -- Mathematics | Mechanics, applied | Materials | Engineering | Theoretical and Applied Mechanics | Continuum Mechanics and Mechanics of Materials | Computational Mathematics and Numerical AnalysisAdditional physical formats: Printed edition:: No titleDDC classification: 620.1 LOC classification: TA349-359Online resources: Click here to access online
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.
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.