An Exact Solution for Classic Coupled Magneto-Thermo-Elasticity in Cylindrical Coordinates
Subject Areas : Engineering
1 - Postgraduate School, South Tehran Branch, Islamic Azad University
2 - Sama technical and vocational training college, Islamic Azad University, Varamin Branch
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Abstract :
[1] Hetnarski R. B., 1964, Solution of the coupled problem of thermoelasticity in the form of series of functions, Archiwum Mechaniki Stosowanej 16:919-941.
[2] Hetnarsk R.B., Ignaczak J., 1993, Generalized Thermoelasticity: Closed-Form Solutions, Journal of Thermal Stresses 16: 473–498.
[3] Hetnarsk R.B., Ignaczak J., 1994, Generalized Thermoelasticity: Response of Semi-Space to a Short Laser Pulse, Journal of Thermal Stresses 17:377–396.
[4] 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.
[5] Wagner P., 1994, Fundamental Matrix of the System of Dynamic Linear Thermoelasticity, Journal of Thermal Stresses 17:549-565.
[6] Lee Z.Y., 2009, Magneto thermoelastic analysis of multilayered conical shells subjected to magnetic and vapor fields, International Journal of Thermal Sciences 48:50-72.
[7] Dai H.L., Fu Y.M., 2007, Magneto thermoelastic interactions in hollow structures of functionally graded material subjected to mechanical loads, International Journal of Pressure Vessels and Piping 84:132-138.
[8] Wang X., Dong K., 2006, Magneto thermodynamic stress and perturbation of magnetic field vector in a non-homogeneous thermoelastic cylinder, European Journal of Mechanics - A/Solids 25:98-109.
[9] Dai H.L., X. Wang, 2006, The dynamic response and perturbation of magnetic field vector of orthotropic cylinders under various shock loads, International Journal of Pressure Vessels and Piping 83:55-62.
[10] Misra S. C., Samanta S. C., Chakrabarti A. K., 1992, Transient magneto thermoelastic waves in a viscoelastic half-space produced by ramp-type heating of its surface, Computers & Structures 43:951-957.
[11] Massalas C. V., 1991, A note on magneto thermoelastic interactions, International Journal Engineering Science 29:1217-1229.
[12] Misra J. C., Samanta S. C., Chakrabarti A. K., Misra Subhas C., 1991, Magneto thermoelastic interaction in an infinite elastic continuum with a cylindrical hole subjected to ramp-type heating, International Journal Engineering Science 29: 1505-1514.
[13] Roy Choudhuri S. K., Chatterjee Roy G., 1990, Temperature-rate dependent magneto thermoelastic waves in a finitely conducting elastic half-space, Journal Computers & Mathematics with Applications 19:85-93.
[14] H. S., Narasimhan R., 1987, Magneto thermoelastic stress waves in a circular cylinder, International Journal of Engineering Science, 25: 413-425.
[15] Gargi Chatterjee(Roy), Roychoudhuri S. K., 1985, The coupled magneto thermoelastic problem in elastic half-space with two relaxation times, International Journal Engineering Science 23: 975-986.
[16] Maruszewsk B., 1981, Dynamical magneto thermoelastic problem in cicular cylinders-I: Basic equations, International Journal Engineering Science 19:1233-1240.
[17] Ezzat M. A., El-Karamany A. S., 2003, Magneto thermoelasticity with two relaxation times in conducting medium with variable electrical and thermal conductivity, Journal Applied Mathematics and Computation 142:449-467.
[18] Chen W.Q., Lee K.Y., 2003, Alternative state space formulations magnetoelectric thermoelasticity with transverse isotropy and the application to bending analysis of nonhomogeneous plates, Journal Solids & Structures 40: 5689-5705.
[19] Tianhu H., Yapeng S., Xiaogeng T., 2004, A two-dimensional generalized thermal shock problem for a half-space in electromagneto-thermoelasticit, International Journal Engineering. Science 42:809-823.
[20] Sharma J.N., Pal M., 2004, Rayleigh-Lamb waves in magneto thermoelastic homogeneous isotropic plate, International Journal Engineering Science 42:137-155.
[21] Abd-Alla A.M., Hammad H.A.H., Abo-Dahab S.M., 2004, Magneto-thermo-viscoelastic interactions in an unbounded body with a spherical cavity subjected to a periodic loading, Journal Applied Mathematics and Computation 155:235-248.
[22] Jabbari M., Dehbani H., Eslami MR., 2010, An Exact Solution for Classic Coupled Thermo elasticity in Spherical Coordinates, Journal of Pressure Vessel, ASME, Transaction 132: 031201-11.
[23] Jabbari M., Dehbani H., Eslami MR., 2011, An Exact Solution for Classic Coupled Thermo elasticity in Cylindrical Coordinates, Journal of Pressure Vessel, ASME, Transaction 133: 051204-10.
[24] Jabbari M., Dehbani H., 2009, An Exact Solution for Classic Coupled Thermoporoelasticity in Cylindrical Coordinates, Journal of Solid Mechanics 1: 343-357.
[25] Jabbari M., Dehbani H., 2010, An Exact Solution for Classic Coupled Thermoporoelasticity in Ax symmetric Cylinder, Journal of Solid Mechanics 2: 129-143.
[26] Jabbari M., Dehbani H., 2010, An Exact Solution for Lord-Shulman Generalized Coupled Thermo poroelasticity in Spherical Coordinates, Journal of Solid Mechanics 2: 214-230.
[27] Jabbari M., Dehbani H., 2011, An Exact Solution for Lord-Shulman Generalized Coupled Thermoporoelasticity in Cylindrical Coordinates, Published in 9th international congress on thermal, Budapest, Hungry.
[28] Jabbari M., Dehbani H., 2012, An Exact Solution for Quasi-Static Poro-Thermoelasticity in Spherical Coordinates, Iranian journal of mechanical engineering transactions of the ISME 12: 86-108.
[29] Necati Ozisik M., 1980, Heat conduction, Wiley & Sons.
[30] Hetnarski R. B., Eslami M. R., 2009, Thermal Stresses Advanced Theory and Applications, Springer, New York..
[31] Berezovski A., Engelbrecht J., Maugin G. A., 2003, Numerical Simulation of Two-Dimensional Wave Propagation in Functionally Graded Materials, Eur. J. Mech. A/Solids 22: 257–265.
[32] Berezovski A., Maugin G. A., 2003, Simulation of Wave and Front Propagation in Thermoelastic Materials With Phase Transformation, Comput. Mater. Sci 28: 478–485.
[33] Berezovski A., Maugin G. A., 2001, Simulation of Thermoelastic Wave Propagation by Means of a Composite Wave- Propagation Algorithm, J.Comput. Phys 168: 249–264.
[34] Engelbrecht J., Berezovski A., Saluperea A., 2007, Nonlinear Deformation Waves in Solids and Dispersion, Wave Motion 44: 493–500.
[35] Angel Y. C., Achenbach J. D., 1985, Reflection and Transmission of Elastic Waves by a Periodic Array of Cracks: Oblique Incidence, Wave Motion 7: 375–397.