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Contact problems in elasticity: a study of variational inequalities and finite element methods

by Noboru Kikuchi, J. Tinsley Oden (Society for Industrial and Applied Mathematics, 1988)

 Abstrak

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.
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.

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 Metadata

No. Panggil : e20448471
Entri utama-Nama orang :
Entri tambahan-Nama orang :
Subjek :
Penerbitan : Philadelphia: Society for Industrial and Applied Mathematics, 1988
Sumber Pengatalogan: LibUI eng rda
Tipe Konten: text
Tipe Media: computer
Tipe Pembawa: online resource
Deskripsi Fisik: xiii, 495 pages : illustration
Tautan: http://portal.igpublish.com/iglibrary/search/SIAMB0000292.main.html?5
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No. Panggil No. Barkod Ketersediaan
e20448471 02-17-876706586 TERSEDIA
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