Computational Methods in Elasticity and Plasticity - Solids and Porous Media

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.

List of contents

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.

About the author

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.

Summary

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.

Additional text

“This book was written to serve as a textbook for graduate students in the area of computational methods in elasticity and plasticity. However, the subject matter is presented in such a manner that makes it equally suitable for advanced-level undergraduate students. … The reviewer found this book interesting to read and believes that the author has done an excellent job in presenting the material in a lucid and easy-to-follow manner for its audience.” (V. K. Arya, Mathematical Reviews, June, 2015)
“The text is mostly self-contained and provides a well-detailed presentation of all topics needed, including a fair amount of discussed examples creating excellent opportunities for interested research students to expand and test their own results. The presentation of every topic is update and deep enough to meet anyone working on the title problems. … the students of different techniques (e.g., boundary element practitioners) should also profit from this remarkable textbook. Especially, research engineering students interested in stress analysis should profit immensely from this noteworthy contribution.” (J. C. F. Telles, Zentralblatt MATH, Vol. 1211, 2011)

Report

"This book was written to serve as a textbook for graduate students in the area of computational methods in elasticity and plasticity. However, the subject matter is presented in such a manner that makes it equally suitable for advanced-level undergraduate students. ... The reviewer found this book interesting to read and believes that the author has done an excellent job in presenting the material in a lucid and easy-to-follow manner for its audience." (V. K. Arya, Mathematical Reviews, June, 2015)
"The text is mostly self-contained and provides a well-detailed presentation of all topics needed, including a fair amount of discussed examples creating excellent opportunities for interested research students to expand and test their own results. The presentation of every topic is update and deep enough to meet anyone working on the title problems. ... the students of different techniques (e.g., boundary element practitioners) should also profit from this remarkable textbook. Especially, research engineering students interested in stress analysis should profit immensely from this noteworthy contribution." (J. C. F. Telles, Zentralblatt MATH, Vol. 1211, 2011)

Product details

• Authors: A Anandarajah, A. Anandarajah
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 01.01.2014
• EAN: 9781489982414
• ISBN: 978-1-4899-8241-4
• No. of pages: 653
• Dimensions: 174 mm x 41 mm x 235 mm
• Weight: 1015 g
• Illustrations: XV, 653 p.
• Subjects: Natural sciences, medicine, IT, technology > Technology > Mechanical engineering, production engineering; A, engineering, Civil Engineering, Solid Mechanics, Computational Mathematics and Numerical Analysis, Theoretical and Applied Mechanics, Mechanics, Mechanics of solids, Mechanics, Applied, Computer mathematics, Numerical analysis