Sofonea / Matei Variational Inequalities with Applications

A Study of Antiplane Frictional Contact Problems
1. Auflage 2009
ISBN: 978-0-387-87460-9
Verlag: Springer US
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 18, 230 Seiten, eBook

Reihe: Advances in Mechanics and Mathematics

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.

Zielgruppe

Research

Autoren/Hrsg.

Sofonea, Mircea

Matei, Andaluzia

Inhaltsverzeichnis

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.