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9781107606654

Mathematical Models in Contact Mechanics

by ;
  • ISBN13:

    9781107606654

  • ISBN10:

    1107606659

  • Format: Paperback
  • Copyright: 2012-11-12
  • Publisher: Cambridge Univ Pr

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Summary

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.

Table of Contents

Preface
List of symbols
Introduction to Variational Inequalities
Preliminaries on functional analysis
Elliptic variational inequalities
History-dependent variational inequalities
Modelling and Analysis of Contact Problems
Modelling of contact problems
Analysis of elastic contact problems
Analysis of elastic-visco-plastic contact problems
Analysis of piezoelectric contact problems
Bibliographical notes
References
Index
Table of Contents provided by Publisher. All Rights Reserved.

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