Variational Inequalities with Applications: A Study of Antiplane Frictional Contact Problems (Advances in Mechanics and Mathematics, 18)

Sofonea, Mircea; Matei, Andaluzia

ISBN 10: 0387874593 / ISBN 13: 9780387874593

Published by Springer, 2009

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Bibliographic Details

• Title: Variational Inequalities with Applications: A Study of Antiplane Frictional Contact Problems (Advances in Mechanics and Mathematics, 18)
• Publisher: Springer
• Publication Date: 2009
• Language: English
• ISBN 10: 0387874593
• ISBN 13: 9780387874593
• Binding: Hardcover
• Condition: New

About this title

Synopsis

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 classes of variational inequalities (VIs). Clearly presented, easy to follow, and well-referenced, this work treats almost entirely VIs of the second kind, with much of the material being state-of-the-art.

From the Back Cover

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 classes of variational inequalities (VIs). Clearly presented, easy to follow, and well-referenced, this work treats almost entirely VIs of the second kind, with much of the material being state-of-the-art.

Applied mathematicians and advanced graduate students wishing to enter the field of VIs would benefit from this work as it sets out in detail basic features and results in the mathematical theory of contact mechanics. Researchers interested in applications of numerical analysis pertaining to VIs would also find the work useful. Assuming a reasonable knowledge of functional analysis, this volume is a must for graduate students, practitioners, and engineers engaged in contact mechanics.