Unilateral contact problem for finite bodies -- parallel implementation
type: Item
instance of: scholarly article
title: Unilateral contact problem for finite bodies -- parallel implementation
zbMATH Open document ID: 0840.73073
DOI: 10.1007/BF00374238
author: V. L. Rabinovich
author: S. R. Sipcic
published in: Computational Mechanics
publication date: 1996-07-04T00:00:00Z
review text: The problem of frictionless contact between two three-dimensional elastic bodies of arbitrary shape is considered and numerically solved. Using the inverse of the elasticity operators, the adequate reciprocal variational inequality is derived. The numerical solution is obtained by means of a boundary element approximation of the variational inequality, the related extremum principle, and the resulting quadratic programming problem. The procedure is highly efficient involving only one matrix inversion per contacting body. Moreover, a methodology for a data parallel implementation is presented where the computing system is configurated as a two-dimensional lattice of processors operating in an element-load point pair on the logical unit.
Mathematics Subject Classification ID: 74S15
Mathematics Subject Classification ID: 74A55
Mathematics Subject Classification ID: 74M15
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74P10
Mathematics Subject Classification ID: 65Y05
zbMATH DE Number: 622180
zbMATH Keywords: frictionless contact
zbMATH Keywords: variational inequality
zbMATH Keywords: related extremum principle
zbMATH Keywords: quadratic programming
zbMATH Keywords: two-dimensional lattice of processors
zbMATH Keywords: element-load point pair
reviewed by: H. Antes
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 622180