Volume no :15, Issue no: 2, June 2012

Journal of Mathematical Sciences: Advances and Applications

MESHLESS SOLUTIONS OF 2D UNILATERAL CONTACT PROBLEMS BY PENALITY AND MOVING LEAST SQUARE APPROACH

Author's: RACHID EL JID and HICHAM FIHRI FASSI
Pages: [55] - [80]
Received Date: June 6, 2012
Submitted by:

Abstract

In this paper, the applicability of a meshless approximation method, namely, the MLS method, to two-dimensional unilateral contact problems is investigated. For the analysis, the element free Galerkin method and Galerkin formulation for two dimensional elasticity problems are considered. Then, the penalty method for imposition of contact constraint is proposed and the Lagrange multiplier method is used to impose essential boundary conditions. The implementation of the penalty/Lagrange based contact algorithm is described and the efficiency for our algorithm is illustrated with various examples.

Keywords

meshless method, moving least squares, contact problem, variational inequality, penalty method, Lagrange multiplier method, numerical experiment.