An Exact Solution for Classic Coupled Thermoporoelasticity in Axisymmetric Cylinder

Document Type : Research Paper


1 Postgraduate School, South Tehran Branch, Islamic Azad University

2 Sama Technical and Vocational Training School, Islamic Azad University, Varamin Branch


In this paper, the classic coupled poro-thermoelasticity model of hollow and solid cylinders under radial symmetric loading condition is considered. A full analytical method is used and an exact unique solution of the classic coupled equations is presented. The thermal and pressure boundary conditions, the body force, the heat source and the injected volume rate per unit volume of a distribute water source are considered in the most general forms and no limiting assumption is used. This generality allows simulation of several of the applicable problems.


[1] Bai B., 2006, Response of saturated porous media subjected to local thermal loading on the surface of semi-infinite space, Acta Mechanica Sinica 22: 54-61.
[2] Bai B., 2006, Fluctuation responses of saturated porous media subjected to cyclic thermal loading, Computers and Geotechnics 33: 396-403.
[3] Droujinine A., 2006, Generalized an elastic asymptotic ray theory, Wave Motion 43: 357-367.
[4] Bai B., Li T., 2009, Solution for cylinderical cavety in saturated thermoporoelastic medium, Acta Mechanica Sinica 22(1): 85-92.
[5] Hetnarski R.B., 1964, Solution of the coupled problem of thermoelasticity in the form of series of functions, Archives of Mechanics (Archiwum Mechaniki Stosowanej) 16: 919-941.
[6] Hetnarski R.B., Ignaczak J., 1993, Generalized thermoelasticity: Closed-form solutions, Journal of Thermal Stresses 16: 473-498.
[7] Hetnarski R.B., Ignaczak J., 1994, Generalized thermoelasticity: Response of semi-space to a shortlaser pulse, Journal of Thermal Stresses 17: 377-396.
[8] Georgiadis H.G., Lykotrafitis G., 2005, Rayleigh waves generated by a thermal source: A threedimensional transiant thermoelasticity solution, Journal of Applied Mechanics 72: 129-138.
[9] Wagner P., 1994, Fundamental matrix of the system of dynamic linear thermoelasticity, Journal of Thermal Stresses 17: 549-565.
[10] Jabbari M., Dehbani H., 2009, An exact solution for classic coupled thermoporoelasticity in cylindrical coordinates, Journal of Solid Mechanics 1(4): 343-357.
[11] Jabbari M., Mohazzab A.H., Bahtui A., Eslami M.R., 2007, Analytical solution for three-dimensional stresses in a short length FGM hollow cylinder, ZAMM Journal 87(6): 413-429.