Contact Problems in Elasticity
A Study of Variational Inequalities and Finite Element Methods
Part of Studies in Applied and Numerical Mathematics
- Authors:
- N. Kikuchi
- J. T. Oden
- Date Published: August 1988
- availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
- format: Paperback
- isbn: 9780898714685
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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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×Product details
- Date Published: August 1988
- format: Paperback
- isbn: 9780898714685
- length: 509 pages
- dimensions: 230 x 152 x 28 mm
- weight: 0.709kg
- availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
Table of Contents
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.
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