The method of fundamental solutions (MFS) is very effective for analysis of problems with moving domain loads. In this work, the MFS is formulated for solution of two dimensional transient uncoupled thermoelastic problems involving moving point heat sources. At first, the time-dependent temperature field is obtained by solving the transient heat conduction equation involving a moving heat source term. Then, at each time point, the temperature field is used in the constitutive and equilibrium equations to determine the displacement field. The intensity and location of the point heat source can be arbitrary functions of time. The particular solutions for temperature and stress are described by simple and closed-form expressions and they are used without considering any internal points. Two numerical example problems are provided to demonstrate the efficiency of the presented formulation. The obtained numerical results show that the presented MFS is very efficient and useful. Unlike the finite element method, only a small number of collocation and source points are sufficient to achieve very accurate results in the proposed MFS.

基本解法（MFS）对于分析移动域负载的问题非常有效。在这项工作中，MFS是为解决涉及移动点热源的二维瞬态非耦合热弹性问题而制定的。首先，通过求解涉及移动热源项的瞬态热传导方程来获得随时间变化的温度场。然后，在每个时间点，在本构方程和平衡方程中使用温度场来确定位移场。点热源的强度和位置可以是时间的任意函数。温度和应力的特定解决方案通过简单且封闭的表达式进行描述，并且无需考虑任何内部要点即可使用它们。提供了两个数值示例问题，以证明所提出的配方的有效性。获得的数值结果表明，所提出的MFS是非常有效和有用的。与有限元方法不同，在建议的MFS中，只有少量的搭配和源点足以实现非常准确的结果。