
Mathematical Models in Contact Mechanics
Cambridge University Press
Published on 13. September 2012
Book
Paperback/Softback
293 pages
978-1-107-60665-4 (ISBN)
Description
This text provides a complete introduction to the theory of variational inequalities with emphasis on contact mechanics. It covers existence, uniqueness and convergence results for variational inequalities, including the modelling and variational analysis of specific frictional contact problems with elastic, viscoelastic and viscoplastic materials. New models of contact are presented, including contact of piezoelectric materials. Particular attention is paid to the study of history-dependent quasivariational inequalities and to their applications in the study of contact problems with unilateral constraints. The book fully illustrates the cross-fertilisation between modelling and applications on the one hand and nonlinear mathematical analysis on the other. Indeed, the reader will gain an understanding of how new and nonstandard models in contact mechanics lead to new types of variational inequalities and, conversely, how abstract results concerning variational inequalities can be applied to prove the unique solvability of the corresponding contact problems.
More details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Target group
Professional and scholarly
Product notice
Paperback (trade)
Illustrations
5 Line drawings, unspecified
Dimensions
Height: 229 mm
Width: 152 mm
Thickness: 16 mm
Weight
432 gr
ISBN-13
978-1-107-60665-4 (9781107606654)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions

Mircea Sofonea | Andaluzia Matei
Mathematical Models in Contact Mechanics
E-Book
09/2012
1st Edition
Cambridge University Press
€73.99
Available for download

Mircea Sofonea
Mathematical Models in Contact Mechanics
E-Book
09/2012
Cambridge University Press
€61.49
Available for download
Persons
Mircia Sofonea is Full Professor of Applied Mathematics at the University of Perpignan (France), Director of the Laboratory of Mathematics and Physics (LAMPS) at the same university and Member of Honour of the Institute of Mathematics of the Romanian Academy of Sciences. Andaluzia Matei is Professor of Mathematics at the University of Craiova (Romania).
Author
Universite de Perpignan, France
Universitatea din Craiova, Romania
Content
Preface; List of symbols; Part I. Introduction to Variational Inequalities: 1. Preliminaries on functional analysis; 2. Elliptic variational inequalities; 3. History-dependent variational inequalities; Part II. Modelling and Analysis of Contact Problems: 4. Modelling of contact problems; 5. Analysis of elastic contact problems; 6. Analysis of elastic-visco-plastic contact problems; 7. Analysis of piezoelectric contact problems; Bibliographical notes; References; Index.