Wave Propagation in Mixture of Generalized Thermoelastic Solids Half-Space

Subject Areas : Engineering

R  Kumar ¹ (Department of Mathematics, Kurukshetra University)
S  Devi ² (Department of Mathematics, D.N. College)

Received: 2010-03-04 Accepted : 2010-05-16 Published : 2010-09-30

Keywords:

References:

[1] Trusedell C., Tupin R.A., 1960, The Classical Field Theories, Volume III/1, Springer-Verlag, Berlin.

[2] Eringen A.C., Ingram J.D., 1965, A continuum theory of chemically reacting media-I, International Journal of Engineering Science 3: 197-212.

[3] Green A.E., Naghdi P.M., 1965, A dynamical theory of interacting continua, International Journal of Engineering Science 3: 231-241.

[4] Bedford A., Stern M., 1972, A multi-continuum theory of elastic materials, Acta Mechanica 14: 85-102.

[5] Bedford A., Stern M., 1972, Toward a diffusing continuum theory of composite elastic materials, ASME Journal of Applied Mechanics 38: 8-14.

[6] Bowen R.M., 1976, Theory of mixtures, in: Continuum Physics, Volume III, edited by A.C. Eringen, Academic Press, New York.

[7] Atkin R.J., Craine R.E., 1976, Continuum theories of mixtures: Applications, Journal of the Institute of Mathematical Applications 17: 153-207.

[8] Atkin R.J., Craine R.E., 1976, Continuum theories of mixtures: Basic theory and Historical Development, Quarterly Journal of Mechanics and Applied Mathematics 29: 209-245.

[9] Rajgopal K.R., Tao L., 1995, Mechanics of Mixtures, World Scientific, Singapore.

[10] Iesan D., 1991, On the theory of mixtures of thermoelastic solids, Journal of Thermal Stresses 14: 389-408.

[11] Green A.E., Steel T.R., 1966, Constitutive equations for intereacting continua, International Journal of Engineering Science 4: 483-500.

[12] Steel T.R., 1967, Applications of theory of interacting continua, Quarterly Journal of Mechanics and Applied Mathematics 20: 57-72.

[13] Bowen R.M., Wiese J.C., 1969, Diffusion in mixtures of elastic materials, International Journal of Engineering Science 7: 689-722.

[14] Martinez F., Quintanilla R., 1995, Some qualitative results for the linear theory of binary mixtures of thermoelastic solids, Collectanea Mathematica 46: 263-277.

[15] Pompei A. Scalia A., 1999, On the theory of mixtures of thermoelastic solids, Journal of Thermal Stresses 22: 23-34.

[16] Burchuladze T., Svanadze M., 2000, Potential method in the linear theory of binary mixtures of thermoelastic solids, Journal of Thermal Stresses 23: 601-626.

[17] Pompei A., 2003, On the dynamical theory of mixtures of thermoelastic solids, Journal of Thermal Stresses 26: 873-888.

[18] Passarella F., Vittorio Z., 2007, Some exponential decay estimates for the thermoelastic mixtures, Journal of Thermal Stresses 30: 25-41.

[19] Sharma M. D., Gogna M. L., 1992, Reflection and refraction of plane harmonic waves at an interface between elastic solid and porous solid saturated by viscous liquid, Pageoph 138: 249-266.

[20] Vashisth A. K., Sharma M. D., Gogna M. L., 1991, Reflection and transmission of elastic waves at a loosely bonded interface between an elastic solid and liquid-saturated porous solids, Geophysics International Journal 105: 601-617.

[21] Apice C.D., Chirita S., Tibullo V., 2005, On the spatial behavior in dynamic theory of mixtures of thermoelastic solids, Journal of Thermal Stresses 28: 63-82.

[22] Lord H., Shulman Y.A., 1967, A generalized dynamical theory of thermoelasticity, Journal of the Mechanics and Physics of Solids 15: 299-309.

[23] Schoenberg M., 1971, Transmission and reflection of plane waves at an elastic-viscoelastic interface, Geophysical Journal Royal Astronomical Society 25:35-47.

[24] Dhaliwal R. S., Singh A., 1980, Dynamic Coupled Thermoelasticity, Hindustan Publishers, Delhi.