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Tensor spherical harmonics analysis of electro-elastostatic fields in a spherically isotropic multiphase functionally graded piezoelectric medium

Mohammadi Shodja, H ; Sharif University of Technology | 2023

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  1. Type of Document: Article
  2. DOI: 10.1098/rspa.2023.0267
  3. Publisher: Royal Society Publishing , 2023
  4. Abstract:
  5. This paper is devoted to the study of the electro-elastostatic fields of a multiphase concentric spherical piezoelectric ensemble under general electromechanical loading in the presence or absence of body forces and body electric charges. Each phase is assumed to be spherically isotropic and at each point the poling direction is radially oriented. Thanks to the robustness of spherical harmonics, in this work we will obtain the exact solutions for the three-dimensional displacement and electric potential when the elastic, piezoelectric and dielectric constants of each phase vary as power-law functions of the radial distance. © 2023 The Author(s)
  6. Keywords:
  7. Exact solution ; Functionally graded piezoelectric material ; General electromechanical loading ; Non-uniform body forces and body electric charges ; Spherically isotropic ; Tensor spherical harmonics
  8. Source: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences ; Volume 479, Issue 2276 , 2023 ; 13645021 (ISSN)
  9. URL: https://royalsocietypublishing.org/doi/abs/10.1098/rspa.2023.0267