In this work, a promising fully coupled meshfree numerical approach is extended and implemented for the first time in the field of linear static thermoelasticity. A real meshfree method, the so-called finite pointset method (FPM), is applied and implemented in order to solve the strong/classical form of the governing partial differential equations for static linear thermoelasticity. Several benchmark problems are numerically solved in order to show the proposed coupled FPM numerical performance. The presented FPM meshfree approach shows excellent behavior for 2D linear static thermoelasticity problems even for complex geometries.

中文翻译：

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静态线性热弹性问题基于有限点集的全耦合无网格数值方法

在这项工作中，有希望的完全耦合的无网格数值方法在线性静态热弹性领域首次得到扩展和实现。为了解决静态线性热弹性的支配偏微分方程的强/经典形式，应用并实现了一种真正的无网格方法，即所谓的有限点集方法（FPM）。为了显示拟议的FPM耦合数值性能，对几个基准问题进行了数值求解。所提出的FPM无网格方法即使对于复杂的几何形状，也表现出出色的二维线性静态热弹性问题的性能。