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

• Main Authors: Abjadi Ali, Jabbari Mohsen, Khorshidvand Reza Ahmad
• Format: Article
• Language: English
• Published: Serbian Society of Mechanics & Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade 2019-01-01
• Series: Theoretical and Applied Mechanics
• Subjects: circular plate; porous material; mechanical stresses; piezoelectric; elasticity solution
• Online Access: http://www.doiserbia.nb.rs/img/doi/1450-5584/2019/1450-55841900012A.pdf

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.