In this work, a face-based smoothed point interpolation method (FS-PIM) is formulated for three-dimensional (3D) thermal elastic-plastic analysis of structures. For this method, field functions are approximated using second order PIM shape functions and the face-based smoothing domains are used to perform the numerical integration. The material properties are considered to be temperature-dependent and the plastic behavior is studied through the Von Mises yield function. Numerical examples with different kinds of boundary conditions are investigated to verify the validity of the present method. The obtained results indicate that FS-PIM is an effective technique for the thermal elastic-plastic analysis of structures.

中文翻译：

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使用基于面的平滑点插值法对三维结构进行热弹塑性分析

在这项工作中，制定了一种基于面的平滑点插值方法 (FS-PIM)，用于结构的三维 (3D) 热弹塑性分析。对于这种方法，场函数使用二阶 PIM 形状函数来近似，并且基于面的平滑域用于执行数值积分。材料特性被认为与温度有关，通过 Von Mises 屈服函数研究塑性行为。研究了具有不同边界条件的数值例子，以验证本方法的有效性。所得结果表明，FS-PIM 是一种有效的结构热弹塑性分析技术。