Journal of Theoretical
and Applied Mechanics

56, 4, pp. 1123-1137, Warsaw 2018
DOI: 10.15632/jtam-pl.56.4.1123

### An efficient analysis of steady-state heat conduction involving curved line/surface heat sources in two/three-dimensional isotropic media

In this paper, a new formulation based on the method of fundamental solutions for two/three-
-dimensional steady-state heat conduction problems involving internal curved line/surface
heat sources is presented. Arbitrary shapes and non-uniform intensities of the curved heat
sources can be modeled by an assemblage of several parts with quadratic variations. The
presented mesh-free modeling does not require any internal points as in domain methods.
Four numerical examples are studied to verify the validity and efficiency of the proposed
method. Our analyses have shown that the presented mesh-free formulation is very efficient
in comparison with conventional boundary or domain solution techniques.
Keywords: heat conduction, concentrated heat source, curved heat source, mesh-free method

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