9781107606654

Mathematical Models in Contact Mechanics

Format: Paperback

ISBN13: 9781107606654

Paperback|9781107606654


Overview

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.

ISBN-13

9781107606654

ISBN-10

1107606659

Weight

0.95 Pounds

Dimensions

5.98 x 0.67 x 8.98 In

List Price

$85.99

Edition

1st Edition

Format

Paperback

Language

English

Pages

293 pages

Publisher

Cambridge University Press

Published On

2012-09-13



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