**Journal of Theoretical**

and Applied Mechanics

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

-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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