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Meshless Approach For Thermo-mechanical Analysis Of Functionallyrngraded Materials

机译:功能优化材料热力学分析的无网格方法

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摘要

On the basis of analog equation theory, the method of fundamental solutions coupling with radial basis functions (MFS-RBF), a meshless algorithm is developed to simulate the static thermal stress distribution in two-dimensional (2D) functionally graded materials (FGMs). The analog equation method (AEM) is used to obtain the equivalent homogeneous system to the original nonhomogeneous equation, after which RBF and MFS are used to construct the related approximated particular part and complementary part, respectively. Finally, all unknowns are determined by satisfying the governing equations in terms of displacement components and boundary conditions. Numerical experiments are performed for different 2D structures made of FGMs, and the proposed meshless method is validated by comparing available analytical and numerical results.
机译:基于模拟方程理论,结合径向基函数的基本解方法(MFS-RBF),开发了一种无网格算法来模拟二维(2D)功能梯度材料(FGM)中的静态热应力分布。使用模拟方程法(AEM)获得与原始非齐次方程的等效齐次系统,然后使用RBF和MFS分别构造相关的近似特定部分和互补部分。最后,通过满足位移分量和边界条件的控制方程式,可以确定所有未知数。对由FGM制成的不同2D结构进行了数值实验,并通过比较可用的分析结果和数值结果验证了所提出的无网格方法。

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