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The numerical analysis of piezoelectric ceramics based on the Hermite-type RPIM

Author

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  • Ma, Jichao
  • Wei, Gaofeng
  • Liu, Dandan
  • Liu, Gongtian

Abstract

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.

Suggested Citation

  • Ma, Jichao & Wei, Gaofeng & Liu, Dandan & Liu, Gongtian, 2017. "The numerical analysis of piezoelectric ceramics based on the Hermite-type RPIM," Applied Mathematics and Computation, Elsevier, vol. 309(C), pages 170-182.
    • Handle: RePEc:eee:apmaco:v:309:y:2017:i:c:p:170-182
    DOI: 10.1016/j.amc.2017.03.045
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    References listed on IDEAS

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    1. Antanas Žilinskas, 2010. "On similarities between two models of global optimization: statistical models and radial basis functions," Journal of Global Optimization, Springer, vol. 48(1), pages 173-182, September.
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    Cited by:

    1. Ma, Xiao & Zhou, Bo & Xue, Shifeng, 2022. "A Hermite interpolation element-free Galerkin method for functionally graded structures," Applied Mathematics and Computation, Elsevier, vol. 419(C).

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