Computational Methods in Elasticity and Plasticity

This book presents the latest developments in the area of elasto-plastic finite element modeling of solids, particulates and pressure-dependent materials and structures. It also contains problem sets, exercises and a solutions manual for instructors.

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.

Complete coverage of elasto-plastic modeling, presenting details of the finite element method, constitutive models, implementation and boundary value application results Discusses recent advances in the analysis of porous materials and pressure-dependent materials in more detail than other books currently available Includes supplementary material: sn.pub/extras Request lecturer material: sn.pub/lecturer-material

Autorentext

A . Anandarajah is a professor at The Johns Hopkins University, where he is a member of the Civil Engineering Department. Professor Anandarajah has almost 30 years of experience as an educator and researcher. He teaches undergraduate and graduate courses in numerical modeling, solid mechanics and geomechanics.

Inhalt
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 DruckerPrager Model and Its Integration.- The Sliding-Rolling Granular Material Model and Its Integration.