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

ISBN: 0898714680

Category: Technical

Tag: Science/Engineering


Posted on 2009-05-20. By anonymous.

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0898714680

Contact Problems in Elasticity: A Study of Variational Inequalities and Finite Element Methods (Studies in Applied and Numerical Mathematics): N. Kikuchi, J.T. Oden
Society for Industrial Mathematics | ISBN: 0898714680 | 1995-07-14 | PDF (OCR) | 495 pages | 17.58 Mb

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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