Sofonea / Matei Variational Inequalities with Applications

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

E-Book, Englisch, Band 18, 230 Seiten

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.

Autoren/Hrsg.

Sofonea, Mircea

Matei, Andaluzia

Inhaltsverzeichnis

1;Series Preface;7
2;Preface;9
3;Contents;13
4;List of Symbols;16
5;Part I Background on Functional Analysis;19
5.1;Chapter 1 Preliminaries;20
5.2;Chapter 2 Function Spaces;37
5.3;Bibliographical Notes;55
6;Part II Variational Inequalities;56
6.1;Chapter 3 Elliptic Variational Inequalities;57
6.2;Chapter 4 Evolutionary Variational Inequalities with Viscosity;74
6.3;Chapter 5 Evolutionary Variational Inequalities;88
6.4;Chapter 6 Volterra-type Variational Inequalities;122
6.5;Bibliographical Notes;137
7;Part III Background on Contact Mechanics;139
7.1;Chapter 7 Modeling of Contact Processes;140
7.2;Chapter 8 Antiplane Shear;158
7.3;Bibliographical Notes;177
8;Part IV Antiplane Frictional Contact Problems;179
8.1;Chapter 9 Elastic Problems;180
8.2;Chapter 10 Viscoelastic Problems with Short Memory;199
8.3;Chapter 11 Viscoelastic Problems with Long Memory;210
8.4;Bibliographical Notes;221
9;References;224
10;Index;232