MATHEMATICAL MODELS IN CONTACT MECHANICS by Mircea Sofonea, Andaluzia Matei ( 9781107606654 )

Item Details

Title:

MATHEMATICAL MODELS IN CONTACT MECHANICS

By:

Mircea Sofonea, Andaluzia Matei

Format:

Paperback

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£65.99

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£59.39

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£6.60

ISBN 10:

1107606659

ISBN 13:

9781107606654

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Publisher:

CAMBRIDGE UNIVERSITY PRESS

Pub. date:

13 September, 2012

Series:

London Mathematical Society Lecture Note Series 398

Pages:

293

Description:

A complete introduction to the modelling and mathematical analysis of contact processes with deformable solids.

Synopsis:

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.

Illustrations:

5 b/w illus.

Publication:

Imprint:

Cambridge University Press

Returns:

Returnable

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ANALYSIS AND APPROXIMATION OF CONTACT PROBLEMS WITH ADHESION OR DAMAGE (HB)