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Variational Inequalities with Applications By Mircea Sofonea

Variational Inequalities with Applications by Mircea Sofonea

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Summary

This book is motivated by stimulating problems in contact mechanics, emphasizing antiplane frictional contact with linearly elastic and viscoelastic materials. 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.

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Variational Inequalities with Applications Summary

Variational Inequalities with Applications: A Study of Antiplane Frictional Contact Problems by Mircea Sofonea

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.

Variational Inequalities with Applications Reviews

From the reviews:

"The aim of the present outstanding book is to consider a wide set of problems arising in the mathematical modeling of mechanical systems under bilateral constraints. ... This volume is primarily addressed to applied mathematicians working in the field of variational inequalities and their applications, especially those concerned with numerical aspects. ... the book will also be useful for scientists from application areas, in particular, those from engineering and physics." (Jan Lovisek, Mathematical Reviews, Issue 2009 j)

Table of Contents

Background on Functional Analysis.- Preliminaries.- Function Spaces.- Variational Inequalities.- Elliptic Variational Inequalities.- Evolutionary Variational Inequalities with Viscosity.- Evolutionary Variational Inequalities.- Volterra-type Variational Inequalities.- Background on Contact Mechanics.- Modeling of Contact Processes.- Antiplane Shear.- Antiplane Frictional Contact Problems.- Elastic Problems.- Viscoelastic Problems with Short Memory.- Viscoelastic Problems with Long Memory.

Additional information

NLS9781441927651
9781441927651
1441927654
Variational Inequalities with Applications: A Study of Antiplane Frictional Contact Problems by Mircea Sofonea
New
Paperback
Springer-Verlag New York Inc.
2010-12-06
230
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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