Axisymmetric elasticity solution for an undrained saturated poro-piezoelastic thick disk

Ali Abjadi, Mohsen Jabbari, Ahmad Reza Khorshidvand

Department of Mechanical Engineering, South Tehran Branch, Islamic Azad University, Tehran, Iran

Abstract: In this paper, a circular thick plate made of poroelastic piezoelectric ceramic is studied. The porosities of the plate vary through the thickness and axisymmetric behavior of a piezoelectric disk exhibiting hexagonal material symmetry of class 6 mm. Additionally, external mechanical loads which are in axi-symmetric general form act on the plate. The material properties of the plate vary exponentially as functions of the $z$ variable in cylindrical coordinates. Based on an elasticity solution in terms of radial and axial displacements $(u, w)$, the governing partial differential equations are derived and solved analytically; mechanical stresses and electric displacements are then calculated. Finally an example which illustrates the application of the derived formulas is presented.

Keywords: circular plate, porous material, mechanical stresses, piezoelectric, elasticity solution.

MSC: 33C10, 35J57, 35Q47, 35Q79

Received: 11.09.2019
Revised: 01.11.2019

Language: English

DOI: 10.2298/TAM190911012A

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