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Nonlinear Finite Element Methods

  • Textbook
  • © 2008


  • 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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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.

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Table of contents (12 chapters)


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

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