The numerical analysis of piezoelectric ceramics based on the Hermite-type RPIM
The numerical analysis of piezoelectric ceramics based on the Hermite-type RPIM
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DOI：
10.1016/j.amc.2017.03.045
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发表时间：
2017-09
期刊：
影响因子：
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通讯作者：
Jichao Ma;G. Wei;Dandan Liu;Gongtian Liu
中科院分区：
文献类型：
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作者：
Jichao Ma;G. Wei;Dandan Liu;Gongtian Liu
针对有限元法在分析压电陶瓷材料性能时存在的不足，本文将Hermite型径向点插值法应用于压电陶瓷材料性能的分析。该方法首先将问题域的内部和边界离散为一个节点分布，然后构造节点插值函数求解计算节点的位移。与有限元法相比，Hermite型RPIM更容易、更快地实现对局部区域的精确求解。与现有的无网格方法相比，该方法在求形函数的过程中不会产生奇异性。此外，Hermite型RPIM的形函数具有更好的稳定性，可以适应任意的节点分布。此外，数值仿真结果也证明了该方法的准确性和稳定性.
In this paper, the Hermite-type radial point interpolation method (RPIM) is applied to analyze the property of piezoelectric ceramics in order to overcome the defects of finite element method. In this method, the inside and boundary of the problem domain are discreted by a distribution of nodes, and then the interpolation function of nodes are constructed to solve the displacement of the evaluation nodes. Compared with the finite element method, it is easier and faster for the Hermite-type RPIM to accurately achieve solution of the local regions. In contrast with the existing meshless methods, this method would not cause singularity in the process of evaluating the shape function. Furthermore, the shape function of the Hermite-type RPIM has a better stability and it can adapt to any distribution of nodes. In addition, the accuracy and stability of the method are proved by the numerical simulation.