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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
Аннотация:
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.
Ключевые слова:
circular plate, porous material, mechanical stresses, piezoelectric, elasticity solution.
Поступила в редакцию: 11.09.2019 Исправленный вариант: 01.11.2019
Образец цитирования:
Ali Abjadi, Mohsen Jabbari, Ahmad Reza Khorshidvand, “Axisymmetric elasticity solution for an undrained saturated poro-piezoelastic thick disk”, Theor. Appl. Mech., 46:2 (2019), 191–219
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/tam70 https://www.mathnet.ru/rus/tam/v46/i2/p191
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