An Exact Solution for Classic Coupled Thermoporoelasticity in Cylindrical Coordinates
الموضوعات :
1 - Postgraduate School, South Tehran Branch Islamic Azad University
2 - Postgraduate School, South Tehran Branch Islamic Azad University
الکلمات المفتاحية: Hollow cylinder, Coupled Thermoporoelasticity, Exact solution,
ملخص المقالة :
In this paper the classic coupled thermoporoelasticity model of hollow and solid cylinders under radial symmetric loading condition (r, t) 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 various applicable problems.
[1] Bing Bai, 2006, Response of saturated porous media subjected to local thermal loading on the surface of semi-infinite space, Acta Mech Sinica 22: 54-61.
[2] Bing Bai, 2006, Fluctuation responses of saturated porous media subjected to cyclic thermal loading, Computers and Geotechnics 33: 396-403.
[3] Droujinine A., 2006, Generalized inelastic asymptotic ray theory, Wave Motion 43: 357-367.
[4] Bing Bai, Tao Li, 2009, Solution for cylinderical cavety in saturated thermoporoelastic medium, Acta Mech Sinica 22(1): 85-92.
[5] Hetnarski R.B., 1964, Solution of the coupled problem of thermoelasticity in the form of series of functions, 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 short laser 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, ASME 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.
