Models and Analysis of Quasistatic Contact: Variational Methods

ISBN-13: 9783642061783 / Angielski / Miękka / 2010 / 263 str.

Meir Shillor;Mircea Sofonea;Jozef Joachim Telega

Opis

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.

Recenzje

From the reviews of the first edition:

"The aim of this important book is the study of problems in contact mechanics ... . The work is intended for a wide audience: this would include specialists in contact processes in the structural and mechanical systems ... as well as those with a background in the mathematical sciences who seek a self-contained account of mathematical theory of contact mechanics. The text is suitable for graduate students and researchers in applied mathematics, computational mathematics, and computational mechanics." (J. Lovísek, Zentralblatt MATH, Vol. 1069, 2005)

Spis treści

Modelling: Evolution Equations, Contact and Friction.- Additional Effects Involved in Contact.- Thermodynamic Derivation.- A Detailed Representative Problem.- Models and Their Variational Analysis: Mathematical Preliminaries.- Elastic Contact.- Viscoelastic Contact.- Viscoplastic Contact.- Slip or Temperature Dependent Frictional Contact.- Contact with Wear or Adhesion.- Contact with Damage.- Miscellaneous Problems and Conclusions: Dynamic, One-Dimensional and Miscellaneous Problems.- Conclusions, Remarks and Future Directions.- References.- Index.