COMPLETED DOUBLE-LAYER BOUNDARY-ELEMENT METHOD IN ELASTICITY

Citation
N. Phanthien et D. Tullock, COMPLETED DOUBLE-LAYER BOUNDARY-ELEMENT METHOD IN ELASTICITY, Journal of the mechanics and physics of solids, 41(6), 1993, pp. 1067-1086
Citations number
20
Categorie Soggetti
Physics, Condensed Matter",Mechanics
ISSN journal
00225096
Volume
41
Issue
6
Year of publication
1993
Pages
1067 - 1086
Database
ISI
SICI code
0022-5096(1993)41:6<1067:CDBMIE>2.0.ZU;2-#
Abstract
THIS PAPER reports an indirect boundary element method in elasticity t hat is most suitable to deal with particulate solids. The method invol ves a distribution of a double layer potential and, after a suitable c ompletion and deflation, is amenable to iterative solution techniques. It can therefore accommodate a large number of particles with complex geometries. Convergence of the method is significantly improved by th e introduction of a simple domain decomposition to solve the system of equations. The method is illustrated by the translating sphere proble m, the load transfer problem between two spheres at near contact, and the shear deformation of a cluster of 125 spheres initially in a simpl e cubic array.