Contact Problems in Elasticity: A Study of Variational Inequalities and Finite Element Methods - Brossura

Kikuchi, N.; Oden, J. T.

Brossura

ISBN 10: 0898714680 ISBN 13: 9780898714685

Casa editrice: Society for Industrial and Applied Mathematics, 1987

Riassunto

The contact of one deformable body with another lies at the heart of almost every mechanical structure. Here, in a comprehensive treatment, two of the field's leading researchers present a systematic approach to contact problems. Using variational formulations, Kikuchi and Oden derive a multitude of new results, both for classical problems and for nonlinear problems involving large deflections and buckling of thin plates with unilateral supports, dry friction with nonclassical laws, large elastic and elastoplastic deformations with frictional contact, dynamic contacts with dynamic frictional effects, and rolling contacts. This method exposes properties of solutions obscured by classical methods, and it provides a basis for the development of powerful numerical schemes.

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Descrizione del libro

In this comprehensive treatment, two of the field's leading researchers present a systematic approach to contact problems.

Contenuti

Introduction; Signorini's problem; Minimization methods and their variants; Finite element approximations; Orderings, Trace Theorems, Green's Formulas and korn's Inequalities; Signorini's problem revisited; Signorini's problem for incompressible materials; Alternate variational principles for Signorini's problem; Contact problems for large deflections of elastic plates; Some special contact problems with friction; Contact problems with nonclassical friction laws; Contact problems involving deformations and nonlinear materials; Dynamic friction problems; Rolling contact problems; Concluding comments.

Dettagli dell?edizione

• Editore: Society for Industrial and Applied Mathematics
• Data di pubblicazione: 1987
• ISBN 10: 0898714680
• ISBN 13: 9780898714685
• Rilegatura: Copertina flessibile
• Lingua: Inglese
• Numero di pagine: 509