Overview
- Organization of the book into 4 parts makes it easy to concentrate on the topics
- Presentation is very clear, easy to follow, and well-referenced
- Presents the essentials of the theory of VIs and its applications to a class of interesting problems in contact mechanics
- Includes supplementary material: sn.pub/extras
Part of the book series: Advances in Mechanics and Mathematics (AMMA, volume 18)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (11 chapters)
-
Front Matter
-
Background on Functional Analysis
-
Front Matter
-
-
Variational Inequalities
-
Front Matter
-
-
Background on Contact Mechanics
-
Front Matter
-
-
Antiplane Frictional Contact Problems
-
Front Matter
-
-
Back Matter
Keywords
About this book
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.
Applied mathematicians and advanced graduate students wishing to enter the field of VIs would benefit from this work as it sets out in detail basic features and results in the mathematical theory of contact mechanics. Researchers interested in applications of numerical analysis pertaining to VIs would also find the work useful. Assuming a reasonable knowledge of functional analysis, this volume is a must for graduate students, practitioners, and engineers engaged in contact mechanics.
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." (Ján LovÃÅ¡ek, Mathematical Reviews, Issue 2009 j)
Bibliographic Information
Book Title: Variational Inequalities with Applications
Book Subtitle: A Study of Antiplane Frictional Contact Problems
Authors: Andaluzia Matei, Mircea Sofonea
Series Title: Advances in Mechanics and Mathematics
DOI: https://doi.org/10.1007/978-0-387-87460-9
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag New York 2009
Hardcover ISBN: 978-0-387-87459-3Published: 27 February 2009
Softcover ISBN: 978-1-4419-2765-1Published: 06 December 2010
eBook ISBN: 978-0-387-87460-9Published: 05 April 2009
Series ISSN: 1571-8689
Series E-ISSN: 1876-9896
Edition Number: 1
Number of Pages: XIX, 230
Number of Illustrations: 5 b/w illustrations
Topics: Calculus of Variations and Optimal Control; Optimization, Analysis, Solid Mechanics, Global Analysis and Analysis on Manifolds, Operator Theory, Partial Differential Equations