Mathematical Models in Contact Mechanics (Paperback)

Language: English

Published by Cambridge University Press, Cambridge, 2012

1107606659 / 9781107606654

Series: Book 330 of 387 - London Mathematical Society Lecture Notes

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Paperback. 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. A complete introduction to the theory of variational inequalities with emphasis on the modelling and analysis of contact processes. It represents an invaluable resource for graduate students and practitioners in the theory of contact mechanics. The text contains all the prerequisite mathematical material needed for the analysis. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.

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Title
Mathematical Models in Contact Mechanics (Paperback)
Author
Mircea Sofonea
Publisher
Cambridge University Press, Cambridge
Publication year
2012
Condition
new
Binding
Paperback
Language
English
ISBN 10
1107606659
ISBN 13
9781107606654
Series
Book 330 of 387: London Mathematical Society Lecture Notes

CitiRetail

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