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  • © 2008

Nonlinear Finite Element Methods

Authors:

  • Comprehensive and profound textbook
  • Covers the whole field from basics to applications
  • Gives a lot of information on the range of applications and performance of modern software

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Table of contents (12 chapters)

  1. Front Matter

    Pages I-XII
  2. Introduction

    • Peter Wriggers
    Pages 1-5
  3. Nonlinear Phenomena

    • Peter Wriggers
    Pages 7-18
  4. Basic Equations of Continuum Mechanics

    • Peter Wriggers
    Pages 19-102
  5. Spatial Discretization Techniques

    • Peter Wriggers
    Pages 103-148
  6. Solution Methods for Time Independent Problems

    • Peter Wriggers
    Pages 149-204
  7. Solution Methods for Time Dependent Problems

    • Peter Wriggers
    Pages 205-254
  8. Stability Problems

    • Peter Wriggers
    Pages 255-271
  9. Adaptive Methods

    • Peter Wriggers
    Pages 273-311
  10. Special Structural Elements

    • Peter Wriggers
    Pages 313-398
  11. Special Finite Elements for Continua

    • Peter Wriggers
    Pages 399-460
  12. Contact Problems

    • Peter Wriggers
    Pages 461-481
  13. Back Matter

    Pages 509-559

About this book

Finite element methods have become ever more important to engineers as tools for design and optimization, now even for solving non-linear technological problems. However, several aspects must be considered for finite-element simulations which are specific for non-linear problems: These problems require the knowledge and the understanding of theoretical foundations and their finite-element discretization as well as algorithms for solving the non-linear equations.

This book provides the reader with the required knowledge covering the complete field of finite element analyses in solid mechanics. It is written for advanced students in engineering fields but serves also as an introduction into non-linear simulation for the practising engineer.

Reviews

From the reviews:

"This book describes, besides the physical and mathematical background of finite element method (FEM), special discretization techniques and algorithms which have to be applied to nonlinear problems of solid mechanics. … The book is intended for graduate students of mechanical and civil engineering who want to familiarize themselves with numerical methods applied to problems in solid mechanics. This book applies also to PhD students and engineers working in industry who need further background information on the application of finite elements to nonlinear problems." (Razvan Raducanu, Zentrablatt MATH, Vol. 1153, 2009)

“The aim of this book is to describe ‘special discretization techniques and algorithms … for nonlinear problems of solid mechanics’. It is written primarily as a textbook for graduate students of mechanical and civil engineering … the terminology and style are also accessible to researchers with an applied mathematics background.” (Christoph Ortner, Mathematical Reviews, Issue 2010 a)

Authors and Affiliations

  • Fakultät für Maschinenbau Institut für Kontinuumsmechanik, Leibniz Universität Hannover, Germany

    Peter Wriggers

Bibliographic Information

Buy it now

Buying options

eBook USD 79.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 99.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 139.99
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