MFS-based Solution To Two-dimensional Linear Thermoelasticity Problems
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L. Marin & A. Karageorghis
We propose the numerical approximation of the boundary and internal thermoelastic fields in the case of two-dimensional isotropic linear thermoelastic solids by combining the method of fundamental solutions (MFS) with the method of particular solutions (MPS). A particular solution of the non-homogeneous equations of equilibrium associated with a two-dimensional isotropic linear thermoelastic material is derived based on theMFS approximation of the boundary value problem for the heat conduction equation. Keywords: linear thermoelasticity, direct problems, method of fundamental solutions, particular solution. 1 Introduction The method of fundamental solutions (MFS) is a meshless/meshfree boundary collocation method which is applicable to boundary value problems for which a fundamental solution of the operator in the governing equation is known. In spite of this restriction, the MFS has become very popular primarily because of the ease with which it can be implemented, in particular for problems in complex geometries. Since its introduction as a numerical method by Mathon and Johnston , it has been successfully applied to a large variety of physical problems, an account of which may be found in the survey papers [2, 3].
linear thermoelasticity, direct problems, method of fundamental solutions, particular solution.