Numerical Analysis of Functionally Graded Materials Using Reproducing Kernel Particle Method

Numerical Analysis of Functionally Graded Materials Using Reproducing Kernel Particle Method
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使用再生核粒子法对功能梯度材料进行数值分析

DOI:
10.1142/s1758825119500601
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发表时间:
2019-07
影响因子:
3.5
通讯作者:
Wang Zhiming
Wang Zhiming
中科院分区:
工程技术3区
文献类型:
--
作者:
Liu Zheng;Wei Gaofeng;Wang Zhiming

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本文提出了针对功能梯度材料(FGM)弹性力学问题的再现核粒子法(RKPM)。推导了 FGM 的 RKPM 的相应公式。进一步讨论了影响域半径、惩罚因子以及不同节点分布等控制参数对计算精度的影响。分析了 FGM 的不同函数梯度指数。数值结果表明RKPM对于解决FGM的弹性力学问题是正确且有效的。
The reproducing kernel particle method (RKPM) for the elastic mechanical problems of the functionally graded materials (FGM) is proposed in this paper. The corresponding formulae of the RKPM for the FGM are derived. Furthermore, the control parameter of influence domain radius, penalty factor and different node distribution on the calculation accuracy are discussed. The different functional gradient exponents of the FGM are analyzed. The numerical results illustrate that the RKPM is correct and effective to solve the elastic mechanical problems of the FGM.
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