Mathematical Models in Contact Mechanics (London Mathematical Society Lecture Note Series, Series Number 398)
ISBN-13:
9781107606654
ISBN-10:
1107606659
Edition:
1
Author:
Mircea Sofonea, Andaluzia Matei
Publication date:
2012
Publisher:
Cambridge University Press
Format:
Paperback
293 pages
FREE US shipping
Book details
ISBN-13:
9781107606654
ISBN-10:
1107606659
Edition:
1
Author:
Mircea Sofonea, Andaluzia Matei
Publication date:
2012
Publisher:
Cambridge University Press
Format:
Paperback
293 pages
Summary
Mathematical Models in Contact Mechanics (London Mathematical Society Lecture Note Series, Series Number 398) (ISBN-13: 9781107606654 and ISBN-10: 1107606659), written by authors
Mircea Sofonea, Andaluzia Matei, was published by Cambridge University Press in 2012.
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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.
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