The method of fundamental solutions for two-dimensional steady-state anisotropic thermo-mechanical problems involving point heat sources

The method of fundamental solutions (MFS) offers highly accurate solutions due to its semi-analytic nature. This study applies MFS and the method of particular solutions (MPS) to address two-dimensional stationary anisotropic thermo-mechanical problems involving point heat sources. First, the distribution of temperature changes is determined by solving the anisotropic heat conduction equation without the need for internal points or cells. Using this temperature distribution, the thermal loads for the corresponding anisotropic elastic problem are approximated. A numerical example is presented to validate the accuracy of the proposed method. Numerical results demonstrate that the MFS can achieve highly accurate results with a limited number of source points comparable to those obtained from finite element methods (FEM) that use a larger number of nodes.

کلیدواژه ها:

Method of fundamental solutions ، Anisotropic ، Point heat source ، Thermo-mechanical ، Mesh free