Nonlinear Finite Element Methods

For engineers, finite element methods have become important tools for design and optimization, even for solving nonlinear technological problems. This book provides the knowledge needed for finite element analysis in solid mechanics.

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.

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

Autorentext

Prof. Dr.-Ing. Peter Wriggers studierte Bauingenieur- und Vermessungswesen, promovierte 1980 an der Universität Hannover und habilitierte 1986 im FachMechanik. Er war GastprofessoranderUCBerkeley, USA,Professor fürMechanik an der TH Darmstadt und Direktor des Darmstädter Zentrums für Wissenschaftliches Rechnen. Seit 1998 ist er Professor für Baumechanik und NumerischeMechanik sowieDirektor des Zentrums für Computational Engineering Sciences an der Universität Hannover. Er ist Mitherausgeber von internationalen Journals und Editor-in-Chief der Zeitschrift Computational Mechanics .

Inhalt
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.