Mathematical Models in Contact Mechanics (Paperback)

Mircea Sofonea

ISBN 10: 1107606659 / ISBN 13: 9781107606654

Verlag: Cambridge University Press, Cambridge, 2012

Beschreibung

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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

Bestandsnummer des Verkäufers 9781107606654

Bibliografische Details

• Titel: Mathematical Models in Contact Mechanics (Paperback)
• Verlag: Cambridge University Press, Cambridge
• Erscheinungsjahr: 2012
• Sprache: Englisch
• ISBN-10: 1107606659
• ISBN-13: 9781107606654
• Einband: Paperback
• Zustand: new

Über diesen Titel

Inhaltsangabe

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.

Über die Autorinnen und Autoren

Mircia Sofonea is Full Professor of Applied Mathematics at the University of Perpignan (France), Director of the Laboratory of Mathematics and Physics (LAMPS) at the same university and Member of Honour of the Institute of Mathematics of the Romanian Academy of Sciences.

Andaluzia Matei is Professor of Mathematics at the University of Craiova (Romania).