Nonlinear Finite Element Methods

by Peter Wriggers

Overview

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.

Product Details

ISBN-13:	9783642090028
Publisher:	Springer Berlin Heidelberg
Publication date:	11/10/2010
Edition description:	Softcover reprint of hardcover 1st ed. 2008
Pages:	560
Product dimensions:	6.10(w) x 9.25(h) x 0.24(d)

Table of Contents

Nonlinear Phenomena.- Basic Equations of Continuum Mechanics.- Spatial Discretization Techniques.- Solution Methods for Time Independent Problems.- Solution Methods for Time Dependent Problems.- Stability Problems.- Adaptive Methods.- Special Structural Elements.- Special Finite Elements for Continua.- Contact Problems.- Automation of the Finite Element Method by J. Korelc.

Editorial 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)

From the Publisher