An Exact Solution for Lord-Shulman Generalized Coupled Thermoporoelasticity in Spherical Coordinates

Journal of Solid Mechanics

مقاله 2، دوره 2، شماره 3، آذر 2010، صفحه 214-230   

نوع مقاله: Research Paper

نویسندگان

M Jabbari^{* 1}؛ H Dehbani²

¹Postgraduate School, South Tehran Branch, Islamic Azad University

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

چکیده

In this paper, the generalized coupled thermoporoelasticity model of hollow and solid spheres under radial symmetric loading condition (r, t) is considered. A full analytical method is used and an exact unique solution of the generalized coupled equations is presented. The thermal, mechanical 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 where no limiting assumption is used. This generality allows simulate varieties of applicable problems. At the end, numerical results are presented and compared with classic theory of thermoporoelasticity.

کلیدواژه‌ها

Coupled Thermoporoelasticity؛ Lord-shulman؛ Hollow sphere؛ Exact solution

مراجع

[1] Hetnarski R.B., Eslami M.R., 2009, Thermal Stresses - Advanced Theory and Applications, Springer, New York.

[2] Lord H.W., Shulman Y., 1967, A Generalized Dynamical Theory of Themoelasticity, Journal of the Mechanics and Physics of Solids 15: 299-309.

[3] Green A.E., Lindsay K.A., 1972, Thermoelasticity, Journal of Elasticity 2: 1-7.

[4] Green A.E., Naghdi P.M., 1972, Thermoelasticity Without Energy Disspation, Journal of Elasticity 2: 1-7.

[5] Youssef H.M., 2006, Theory of generalized porothermoelasticity, International Journal of Rock Mechanics and Mining Sciences 44: 222-227.

[6] Bai B., 2006, Response of saturated porous media subjected to local thermal loading on the surface of semi-space, Acta Mechanica Sinica 22: 54-61.

[7] Bai B., 2006, Fluctuation responses of saturated porous media subjected to cyclic thermal loading, Computers and Geotechnics 33: 396-403.

[8] Droujinine A., 2006, Generalized an elastic asymptotic ray theory, Wave Motion 43: 357-367.

[9] Bai B., Li T., 2009, Solution for cylindrical cavity in saturated thermoporoelastic medium, Acta Mechanica Sinica 22(1): 85-92.

[10] 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.

[11] Hetnarski R.B., Ignaczak J., 1993, Generalized thermoelasticity: Closed-form solutions, Journal of Thermal Stresses 16: 473-498.

[12] Hetnarski R.B., Ignaczak J., 1994, Generalized thermoelasticity: Response of semi-space to a shortlaser pulse, Journalof Thermal Stresses 17: 377-396.

[13] Georgiadis H.G., Lykotrafitis G., 2005, Rayleigh waves generated by a thermal source: A three-dimensional transiant thermoelasticity solution, Journal of Applied Mechanics 72: 129-138.

[14] Wagner P., 1994, Fundamental matrix of the system of dynamic linear thermoelasticity, Journal of Thermal Stresses 17: 549-565.

[15] Jabbari M., Dehbani H., Eslami M. R.,2009, An exact solution for classic coupled thermoporoelasticity in Spherical Coordinates, ASME Journal of Pressure Vessel 132 (2): 031201-031211.

[16] Jabbari M., Dehbani H., 2009, An exact solution for classic coupled thermoporoelasticity in cylindrical coordinates, Journal of Solid Mechanics 1(4): 343-357.

[17] Jabbari M., Dehbani H., Eslami M. R., 2010, An exact solution for classic coupled thermoporoelasticity in cylindrical coordinates, ASME Journal of Pressure Vessel, to appear.

[18] Jabbari M., Dehbani H., An exact solution for classic coupled thermoporoelasticity in Axisymmetric Cylinder, Journal of Solid Mechanics, to appear.