Eventos Anais de eventos
MecSol 2017
6th International Symposium on Solid Mechanics
Application of Mori-Tanaka Method in the Evaluation of Effective Electroelastic Moduli of Porous Piezoelectric Medium
Submission Author:
Uziel Paulo da Silva , SP
Co-Authors:
Adair Aguiar, Julián Bravo-Castillero
Presenter: Uziel Paulo da Silva
doi://10.26678/ABCM.MecSol2017.MSL17-0152
Abstract
We consider a piezoelectric medium of crystal class 6mm containing a uniform distribution of empty cylindrical holes, with circular cross-sections, and use the generalized Eshelby Method together with the multiscale Mori-Tanaka Method to obtain easy-to-implement analytical formulae for the effective electroelastic properties of the medium at the macroscale. These formulae depend upon both the electroelastic properties of the matrix material and the volume fraction of the cylindrical holes. Using electromechanical properties reported in the literature, we obtain graphs of the effective properties versus the volume fraction of the pores. We then show that the effective electroelastic properties of the porous medium decrease for increasing porous volume fraction, as expected. The results obtained via Mori-Tanaka Method agree well with results obtained via Asymptotic Homogenization Method and Finite Element Method. This work is important in the evaluation of the effective electroelastic properties of heterogeneous solids with hierarchical structures.
Keywords
Eshelby Method, Mori-Tanaka Method, Homogenization, Electroelastic Properties
