Skip to main content
  • Textbook
  • © 2010

Computational Methods in Elasticity and Plasticity

Solids and Porous Media

Authors:

  • 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

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

This is a preview of subscription content, log in via an institution to check for access.

Table of contents (14 chapters)

  1. Front Matter

    Pages i-xv
  2. Introduction

    • A. Anandarajah
    Pages 1-20
  3. Mathematical Foundations

    • A. Anandarajah
    Pages 21-59
  4. Governing Equations in Solid Mechanics

    • A. Anandarajah
    Pages 61-73
  5. Elastic Constitutive Laws

    • A. Anandarajah
    Pages 75-96
  6. Governing Equations in Porous Media

    • A. Anandarajah
    Pages 189-234
  7. Finite Element Analysis of Porous Media

    • A. Anandarajah
    Pages 235-254
  8. Methods of Nonlinear Analysis

    • A. Anandarajah
    Pages 255-276
  9. Theory of Rate-Independent Elasto-Plasticity

    • A. Anandarajah
    Pages 277-337
  10. The von Mises Model and Its Integration

    • A. Anandarajah
    Pages 375-422
  11. The Drucker–Prager Model and Its Integration

    • A. Anandarajah
    Pages 513-560
  12. Back Matter

    Pages 645-653

About this book

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.

Reviews

“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)

Authors and Affiliations

  • Dept. Civil Engineering, Johns Hopkins University, Baltimore, USA

    A. Anandarajah

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.

Bibliographic Information

  • Book Title: Computational Methods in Elasticity and Plasticity

  • Book Subtitle: Solids and Porous Media

  • Authors: A. Anandarajah

  • DOI: https://doi.org/10.1007/978-1-4419-6379-6

  • Publisher: Springer New York, NY

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer-Verlag New York 2010

  • Hardcover ISBN: 978-1-4419-6378-9Published: 31 August 2010

  • Softcover ISBN: 978-1-4899-8241-4Published: 20 November 2014

  • eBook ISBN: 978-1-4419-6379-6Published: 04 January 2011

  • Edition Number: 1

  • Number of Pages: XV, 653

  • Topics: Theoretical and Applied Mechanics, Solid Mechanics, Computational Mathematics and Numerical Analysis

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access