Boundary Value Problems in Generalized Thermodiffusive Elastic Medium
Subject Areas : Engineering
1 - Department of Mechanical Engineering, N.I.T Kurukshetra
Keywords:
Abstract :
[1] Danilouskaya V., 1950, Thermal stresses in elastic half space due to sudden heating of its boundary, Pelageya Yakovlevna Kochina 14: 316-321 (in Russian).
[2] Biot M., 1956,Thermoelasticity and irreversible thermodynamics, Journal of Applied Physics 27: 240-253.
[3] Lord H.W., Shulman Y., 1967, A generalized dynamical theory of thermoelasticity , Journal of the Mechanics and Physics of Solids 15: 299-309.
[4] Nowacki W.,1974, Dynamical problems of thermo diffusion in solids I, Bulletin of the Polish Academy of Sciences - Technical Sciences 22: 55-64 (a).
[5] Nowacki W.,1974, Dynamical problems of thermo diffusion in solids II, Bulletin of the Polish Academy of Sciences - Technical Sciences 22: 129-135 (b).
[6] Nowacki W.,1974, Dynamical problems of thermo diffusion in solids III, Bulletin of the Polish Academy of Sciences - Technical Sciences 22: 257-266 (c).
[7] Nowacki W.,1976, Dynamical problems of thermo diffusion in solids, Engineering fracture mechanics 8: 261-266.
[8] Olesiak Z.S., Pyryev Y.A., 1995,A coupled quasi-stationary problem of thermodiffusion for an elastic cylinder, International Journal of Engineering Science 33: 773-780.
[9] Sherief H.H., Saleh H., Hamza F., 2004, The theory of generalized thermoelastic diffusion, International Journal of Engineering Science 42: 591-608.
[10] Sherief H.H., Saleh H., 2005, A half- space problem in the theory of generalized thermoelastic diffusion, International Journal of Solid and Structures 42 : 4484-4493.
[11] Singh B., 2006,Reflection of P and SV waves from free surface of an elastic soild with generalized thermodiffusion, Journal of Earth System Science 114 (2): 764-778.
[12] Singh B.,2006, Reflection of SV waves from free surface of an elastic solid in generalized thermoelastic diffusion, Journal of Sound and Vibration 291: 764-778.
[13] Aouadi M., 2006,Variable electrical and thermal conductivity in the theory of generalized thermodiffusion, ZAMP 57(2): 350-366.
[14] Aouadi M.,2006, A generalized thermoelastic diffusion problem for an infinitely long solid cylinder, International Journal of Mathematics and Matematical Sciences, Article ID 25976, 15 pages.
[15] Aouadi M.,2007, A problem for an infinite elastic body with a spherical cavity in the theory of generalized thermoelastic diffusion, International Journalof Solids and Structures 44: 5711-5722.
[16] Aouadi M., 2007, Uniqueness and recipocity theorem in the theory of generalized thermoelasic diffusion, Journal of Thermal Streses 30: 665-678.
[17] Aouadi M.,2008, Generalized theory of thermoelasic diffusion for an anisotropic media, Journal of Thermal Streses 31:270-285.
[18] Sharma N.,Ram P., Kumar R., 2008, Plane strain deformation in generalized thermoelastic diffusion, International Journal of Thermophysics 29: 1503-1522.
[19] Sharma N.,Ram P., Kumar R. ,2008, Dynamical behaviour of generalized thermoelastic diffusion with two relaxation times in frequency domain, Structural Engineering and Mechanics 28(1) :19-38.
[20] Kumar R., Kansal T., 2009, Rayleigh-Lamb waves in transversely isotropic themoelastic diffusive layer, International Journal of Thermophysics 30(2): 701-733.
[21] Kumar R., Rani L., 2005, Deformation due to inclined load in thermoelastic half space with voids, Archive of Mechanics 57(1): 7-24.
[22] Kumar R., Aliwalia P., 2005, Interactions due to inclined load at micropolar elastic half-space with voids, International Journal of Applied Mechanics and Engineering 10(1): 109-122.
[23] Kumar R., Gupta R.R., 2007,Boudary value problems in orthotropic micropolar thermoelastic medium with one relaxation time, Journal of the Mechanical Behaviour of Materials 18: 317-337.
[24] Sharma J.N., Kumari N., Sharma K.K., 2009, Disturbance due to thermal and mass loads in generalized elasto-thermodiffusive solids, International Journal of Thermophysics 30: 1697-1723.
[25] Sharma J.N., Kumar V., 1997, Plain strain problems of transversely isotropic thermoelastic media, Journal of Thermal Stresses 20: 463-476.
[26] Sherief H.H., El-Maghraby N.M.,2009, A thick plate problem in the theory of generalized thermoelastic diffusion, International Journal of Thermophysics 30: 2044-205.
[27] Honig G., Hirdes U., 1984, A method for the numerical inversion of Laplace transforms, Journal of Computational and Applied Mathematics 10: 113-132.
[28] Press W.H., Teukolshy S.A.., Vellerling W.T., Flannery B.P., 1986, Numerical Recipes in Fortran, Second Edition, Cambridge University Press, Cambridge.
[29] Eringen A.C., 1984, Plane waves in non-local micropolar elasticity, International Journal of Engineering Science 22: 1113-1121.
[30] Thomas L., 1980, Fundamental of Heat Transfer, Prentice hall Inc-Englewmd Diffs, Newjersey.