Models and analysis of quasistatic contact
Subtitle: variational methods
By: M. Shillor, M. Sofonea, J.J. Telega.
Contributors: Sofonea, Mircea.; Telega, Józef Joachim.
Series: Lecture notes in physics,; 655; Lecture notes in physics ;; 655.
Publisher: Springer
Published: 2004
Place of publication: Berlin; New York
Language: eng
Number of pages: 262
Subjects: Contact mechanics -- Mathematical models; Variational inequalities (Mathematics)
Description: The mathematical theory of contact mechanics is a growing field in engineering and scientific computing. This book is intended as a unified and readily accessible source for mathematicians, applied mathematicians, mechanicians, engineers and scientists, as well as advanced students. The first part describes models of the processes involved like friction, heat generation and thermal effects, wear, adhesion and damage. The second part presents many mathematical models of practical interest and demonstrates the close interaction and cross-fertilization between contact mechanics and the theory of variational inequalities. The last part reviews further results, gives many references to current research and discusses open problems and future developments. The book can be read by mechanical engineers interested in applications. In addition, some theorems and their proofs are given as examples for the mathematical tools used in the models.
Notes: Includes bibliographical references (p. [241]-256).