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

Ali Abjadi | Zendy; Mohsen Jabbari | Zendy; Reza Khorshidvand | Zendy

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

Author(s) -

Ali Abjadi,

Mohsen Jabbari,

Reza Khorshidvand

Publication year - 2019

Publication title -

theoretical and applied mechanics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.279

H-Index - 6

eISSN - 2406-0925

pISSN - 1450-5584

DOI - 10.2298/tam190911012a

Subject(s) - rotational symmetry , poromechanics , piezoelectricity , elasticity (physics) , mechanics , materials science , partial differential equation , classical mechanics , physics , mathematical analysis , mathematics , composite material , porosity , porous medium

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 ?? variable in cylindrical coordinates. Based on an elasticity solution in terms of radial and axial displacements (??, ??), 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.

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