Variational Inequalities with Applications A Study of Antiplane Fric

This book is motivated by stimulating problems in contact mechanics, emphasizing antiplane frictional contact with linearly elastic and viscoelastic materials.  It focuses on the essentials with respect to the qualitative aspects of several clas

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Advances in Mechanics and Mathematics VOLUME 18 Series Editors David Y. Gao (Virginia Polytechnic Institute and State University) Ray W. Ogden (University of Glasgow)

Advisory Board Ivar Ekeland (University of British Columbia, Vancouver) Tim Healey (Cornell University, USA) Kumbakonam Rajagopal (Texas A&M University, USA) Tudor Ratiu (École Polytechnique Fédérale, Lausanne) David J. Steigmann (University of California, Berkeley)

Aims and Scope Mechanics and mathematics have been complementary partners since Newton’s time, and the history of science shows much evidence of the beneficial influence of these disciplines on each other. The discipline of mechanics, for this series, includes relevant physical and biological phenomena such as: electromagnetic, thermal, quantum effects, biomechanics, nanomechanics, multiscale modeling, dynamical systems, optimization and control, and computational methods. Driven by increasingly elaborate modern technological applications, the symbiotic relationship between mathematics and mechanics is continually growing. The increasingly large number of specialist journals has generated a complementarity gap between the partners, and this gap continues to widen. Advances in Mechanics and Mathematics is a series dedicated to the publication of the latest developments in the interaction between mechanics and mathematics and intends to bridge the gap by providing interdisciplinary publications in the form of monographs, graduate texts, edited volumes, and a special annual book consisting of invited survey articles.

VARIATIONAL INEQUALITIES WITH APPLICATIONS A Study of Antiplane Frictional Contact Problems

By MIRCEA SOFONEA Université de Perpignan, France ANDALUZIA MATEI University of Craiova, Romania

Mircea Sofonea Laboratoire LAMPS Université de Perpignan 66 860 Perpignan Cedex France [email protected]

Andaluzia Matei Department of Mathematics University of Craiova 200585 Craiova Romania [email protected]

Series Editors: David Y. Gao Department of Mathematics Virginia Tech Blacksburg, VA 24061 [email protected]

ISSN: 1571-8689 ISBN: 978-0-387-87459-3 DOI: 10.1007/978-0-387-87460-9

Ray W. Ogden Department of Mathematics University of Glasgow Glasgow, Scotland, UK [email protected]

e-ISBN: 978-0-387-87460-9

Library of Congress Control Number: 2008944205 Mathematics Subject Classification (2000): 58E35, 58E50, 49J40, 49J45, 74M10, 74M15, 74G25, 74G30, 74M99 © Springer Science+Business Media, LLC 2009 All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Springer Science+Business Media, LLC, 233 Spring Street, New York, NY 10013, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed is forbidden. The use in