Variational inequalities with applications : a study of antiplane frictional contact problems
著者
書誌事項
Variational inequalities with applications : a study of antiplane frictional contact problems
（Advances in mechanics and mathematics / edited by David Y. Gao and Ray W. Ogden, v. 18）
Springer, c2009
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注記
Includes bibliographical reference (p. 219-226) and index
内容説明・目次
内容説明
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.
目次
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.
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