Boundary element analysis of 2D and 3D thermoelastic problems containing curved line heat sources
Keywords:
Boundary element method, thermoelasticity, heat conduction, curved line heat source, non-uniform intensityAbstract
Temperature and stress analysis of a medium with concentrated heat sources has some important applications in engineering. In this paper, a boundary element method for analysis of two- and three-dimensional thermoelastic problems containing curved line heat sources in isotropic media is presented. In these problems, the heat generation within the problem domain is concentrated over a curved path. In the conventional integral equations of thermoelasticity, the domain integrals are expressed in terms of the temperature function. In this work, modified integral equations, in which the domain integrals are expressed in terms of the heat source function is used. The shape of the curved line heat source and the intensity function along the source can be arbitrary. Temperature, displacement and stress analyses are performed without considering internal points and without any need to find the temperature distribution in the domain. Three numerical examples are presented to show the effectiveness and accuracy of the proposed method for two- and three-dimensional problems. Highly accurate results are obtained by the proposed method. It is concluded that the presented boundary element formulation is more efficient in comparison with the domain methods in which one needs to consider condensed nodes near the curved line heat source.
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