Variational Inequalities with Applications
A Study of Antiplane Frictional Contact Problems
Published on 27. February 2009
Book
Hardback
XIX, 230 pages
978-0-387-87459-3 (ISBN)
Description
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.
Reviews / Votes
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." (Ján Lovísek, Mathematical Reviews, Issue 2009 j)
More details
Series
Edition
2009 ed.
Language
English
Place of publication
New York
United States
Target group
Professional and scholarly
Research
Illustrations
5 s/w Abbildungen
XIX, 230 p. 5 illus.
Dimensions
Height: 241 mm
Width: 160 mm
Thickness: 19 mm
Weight
547 gr
ISBN-13
978-0-387-87459-3 (9780387874593)
DOI
10.1007/978-0-387-87460-9
Schweitzer Classification
Other editions
Additional editions
Mircea Sofonea | Andaluzia Matei
Variational Inequalities with Applications
A Study of Antiplane Frictional Contact Problems
Book
12/2010
Springer
€106.99
Shipment within 15-20 days
Mircea Sofonea | Andaluzia Matei
Variational Inequalities with Applications
A Study of Antiplane Frictional Contact Problems
E-Book
04/2009
1st Edition
Springer
€96.29
Available for download
Content
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.