MFS-based Solution To Two-dimensional Linear
Thermoelasticity Problems
Author(s)
L. Marin & A. Karageorghis
Abstract
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 [1], 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].
Keywords
linear thermoelasticity, direct problems, method of fundamental
solutions, particular solution.
Related Book
Other papers in this volume
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