Quasistatic Contact Problems in Viscoelasticity and Viscoplasticity

Erscheinungsjahr 2002
ISBN: 978-0-8218-3192-2
Verlag: American Mathematical Society

Buch, Englisch, Band 30, Format (B × H): 187 mm x 260 mm, Gewicht: 989 g

Reihe: AMS/IP Studies in Advanced Mathematics

This book introduces readers to a mathematical theory of contact problems involving deformable bodies. It covers mechanical modelling, mathematical formulations, variational analysis, and the numerical solution of the associated formulations.

Phenomena of contact between deformable bodies or between deformable and rigid bodies abound in industry and in everyday life. A few simple examples are brake pads with wheels, tyres on roads, and pistons with skirts. Common industrial processes such as m

Function spaces and their properties. Introduction to finite difference and finite element approximations. Variational inequalities. Constitutive relations in solid mechanics. Background on variational and numerical analysis in contact mechanics. Contact problems in elasticity. Bilateral contact with slip dependent friction. Frictional contact with normal compliance. Frictional contact with normal damped response. Other viscoelastic contact problems. Frictionless contact with dissipative potential. Frictionless contact between two viscoplastic bodies. Bilateral contact with Tresca's friction law. Other viscoelastic contact problems. Bibliography. Index

Fachgebiete

• Naturwissenschaften Physik Mechanik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik
• Mathematik | Informatik Mathematik Mathematische Analysis Moderne Anwendungen der Analysis
• Naturwissenschaften Biowissenschaften Angewandte Biologie Biomathematik

Über Autor(innen)

(Universite de Perpignan, France)