1.

Record Nr.

UNINA9910257389103321

Autore

Shillor Meir

Titolo

Models and Analysis of Quasistatic Contact [[electronic resource] ] : Variational Methods / / by Meir Shillor, Mircea Sofonea, Józef Joachim Telega

Pubbl/distr/stampa

Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2004

ISBN

3-540-44643-5

Edizione

[1st ed. 2004.]

Descrizione fisica

1 online resource (XI, 263 p.)

Collana

Lecture Notes in Physics, , 0075-8450 ; ; 655

Disciplina

620.1/05

Soggetti

Physics

Mathematical physics

Mechanics

Engineering

Mechanics, Applied

Mathematical Methods in Physics

Theoretical, Mathematical and Computational Physics

Classical Mechanics

Engineering, general

Solid Mechanics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di contenuto

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.

Sommario/riassunto

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.