Article ID Journal Published Year Pages File Type
4628869 Applied Mathematics and Computation 2013 14 Pages PDF
Abstract

In this work, we develop a meshfree method based on fundamental solutions basis functions for a transmission problem in linear elasticity. The addressed problem consists in, given the displacement field on the boundary, compute the corresponding displacement field of an elastic object (which has piecewise constant Lamé coefficients). The Lamé coefficients are assumed to be constant in non overlapping subdomains and, on the corresponding interface (interior boundaries), non homogeneous jump conditions on the displacement and on the traction vectors are considered. The main properties of the method are analyzed and illustrated with several numerical simulations in 2D domains.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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