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Beschreibung
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.
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.
Zusammenfassung

Most of the material appears for the first time in book form

An extensive bibliography gives an overview of present day research in this active field of mechanical modeling

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2004
Fachbereich: Mechanik & Akustik
Genre: Mathematik, Medizin, Naturwissenschaften, Physik, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Inhalt: xi
263 S.
ISBN-13: 9783540229155
ISBN-10: 3540229159
Sprache: Englisch
Herstellernummer: 11311829
Einband: Gebunden
Autor: Shillor, Meir
Sofonea, Mircea
Telega, Józef Joachim
Hersteller: Springer
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 241 x 160 x 20 mm
Von/Mit: Meir Shillor (u. a.)
Erscheinungsdatum: 16.09.2004
Gewicht: 0,53 kg
Artikel-ID: 102438924