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

N. Kikuchi

ISBN 10: 0898714680 / ISBN 13: 9780898714685

Editore: Society For Industrial And Applied Mathematics (SIAM) Jan 1987, 1987

Riguardo questo articolo

Neuware - Using variational formulations, Kikuchi and Oden derive a multitude of 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.Among the novel results presented here are algorithms for contact problems with nonlinear and nonlocal friction, and very effective algorithms for solving problems involving the large elastic deformation of hyperelastic bodies with general contact conditions. Includes detailed discussion of numerical methods for nonlinear materials with unilateral contact and friction, with examples of metalforming simulations. Also presents algorithms for the finite deformation rolling contact problem, along with a discussion of numerical examples.

Codice articolo 9780898714685

Dati bibliografici

• Titolo: Contact Problems in Elasticity : A Study of Variational Inequalities and Finite Element Methods
• Editore: Society For Industrial And Applied Mathematics (SIAM) Jan 1987
• Data di pubblicazione: 1987
• Lingua: Inglese
• ISBN 10: 0898714680
• ISBN 13: 9780898714685
• Rilegatura: Taschenbuch
• Condizione: Neu

Descrizione articolo

Riassunto

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