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

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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/}
}
TY  - JOUR
AU  - Ali Abjadi
AU  - Mohsen Jabbari
AU  - Ahmad Reza Khorshidvand
TI  - Axisymmetric elasticity solution for an undrained saturated poro-piezoelastic thick disk
JO  - Theoretical and applied mechanics
PY  - 2019
SP  - 191 
EP  -  219
VL  - 46
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TAM_2019_46_2_a6/
ID  - TAM_2019_46_2_a6
ER  - 
%0 Journal Article
%A Ali Abjadi
%A Mohsen Jabbari
%A Ahmad Reza Khorshidvand
%T Axisymmetric elasticity solution for an undrained saturated poro-piezoelastic thick disk
%J Theoretical and applied mechanics
%D 2019
%P 191 - 219
%V 46
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TAM_2019_46_2_a6/
%F TAM_2019_46_2_a6
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/