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Contact Problems in Elasticity

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

$158.00

Part of Studies in Applied and Numerical Mathematics

  • 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

$ 158.00
Paperback

This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
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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.

  • Authors

    N. Kikuchi

    J. T. Oden

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