Geodesic
Axisymmetric elasticity solution for an undrained saturated poro-piezoelastic thick disk
Theoretical and applied mechanics, Tome 46 (2019) no. 2.

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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 
@article{TAM_2019_46_2_a6,
     author = {Ali Abjadi and Mohsen Jabbari and Ahmad Reza Khorshidvand},
     title = {Axisymmetric elasticity solution for an undrained saturated poro-piezoelastic thick disk},
     journal = {Theoretical and applied mechanics},
     pages = {191 - 219},
     publisher = {mathdoc},
     volume = {46},
     number = {2},
     year = {2019},
     url = {http://geodesic.mathdoc.fr/item/TAM_2019_46_2_a6/}
}
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Ali Abjadi; Mohsen Jabbari; Ahmad Reza Khorshidvand. Axisymmetric elasticity solution for an undrained saturated poro-piezoelastic thick disk. Theoretical and applied mechanics, Tome 46 (2019) no. 2. http://geodesic.mathdoc.fr/item/TAM_2019_46_2_a6/