Propagation of time harmonic plane waves in an infinite thermo-viscoelastic material with voids has been investigated within the context of different theories of thermoelasticity. The equations of motion developed by Iesan  have been extended to incorporate the Lord-Shulman theory (LST) and Green-Lindsay theory (GLT) of thermoelasticity. It has been shown that there exist three coupled dilatational waves and an uncoupled shear wave propagating with distinct speeds. The presence of thermal, viscosity and voids parameters is responsible for the coupling among dilatational waves. All the existing waves are found to be dispersive and attenuated in nature. The phase speeds and attenuation coefficients of propagating waves are computed numerically for a copper material and compared under different theories of thermo-elasticity. The expressions of energies carried along each wave have also been derived. All the computed numerical results have been depicted through graphs. It is found that the influence of CT and GLT is almost same on wave propagation, while LST influences the wave propagation differently.
If the inline PDF is not rendering correctly, you can download the PDF file here.
 Iesan D. (2011): On a theory of thermoelastic materials with voids. – J. Elasticity vol.104 pp.369-384.
 Biot M.A. (1965): Mechanics of Incremental Deformations. – New York.
 Szekeres A. (1980): Equation system of thermoelasticity using the modified law of thermal conductivity. – Periodica Polytechnica Mech. Engng. vol.24 No.3 pp.253-261.
 Farkas I. and Szekeres A. (1984): Application of the modified law of heat conduction and state equation to dynamical problems of thermoelasticity. – Periodica Polytechnica Mech. Engng. vol.28 No.2-3 pp.163-170.
 Chandrasekhariah D.S. (1998): Hyperbolic thermoelasticity: A review of recent literature. – Appl. Mech. Rev. vol.51 No.12 pp.705-729.
 Szekeres A. and Szalontay M. (1980): Experiments on thermal shock of long rods. – Periodica Polytechnica Mech. Engng. vol.24 No.3 pp.243-252.
 Hetnarski R.B. and Ignaczak J. (1999): Generalized Thermoelasticity. – J. Therm. Stresses vol.22 pp.451-476.
 Lord H.W. and Shulman Y. (1967): A generalized dynamical theory of thermoelasticity. – J. Mech. Phys. Solid. vol.15 pp.299-309.
 Green A.E. and Lindsay A. (1972): Thermoelasticity. – J. Elasticity vol.2 pp.1-7.
 Green A.E. and Naghdi P.M. (1993): Thermoelasticity without energy dissipation. – J. Elasticity vol.31 pp.189-208.
 Tzou D.Y. (1995): A unified approach for heat conduction from macro to micro-scales. – J. Heat Trans. vol.117 pp.8-16.
 Goodman M.A. and Cowin S.C. (1972): A continuum theory for granular materials. – Arch. Ration. Mech. Anal. vol.44 No.4 pp.249-266.
 Nunziato J.W. and Cowin S.C. (1979): A nonlinear theory of elastic materials with voids. – Arch. Ration. Mech. Anal. vol.72 No.2 pp.175-201.
 Cowin S.C. and Nunziato J.W. (1983): Linear elastic materials with voids. – J. Elasticity vol.13 No.2 pp.125-147.
 Puri P. and Cowin S.C. (1985): Plane waves in linear elastic material with voids. – J. Elasticity vol.15 No.2 pp.167-183.
 Iesan D. (1985): Some theorems in the theory of elastic materials with voids. – J. Elasticity vol.15 No.2 pp.215-224.
 Chandrasekharaiah D.S. (1986): Thermoelasticity with second sound - a review. – Appl. Mech. Rev. vol.39 pp.354-376.
 Chandrasekharaiah D.S. (1987): Rayleigh Lamb waves in an elastic plate with voids. – J. Appl. Mech. vol.54 pp.509-512.
 Marin M. (1998): Contributions on the uniqueness in thermoelasto-dynamics on bodies with voids. – Cienc. Math. (Havana) vol.16 No.2 pp.101-109.
 Birsan M. (2000): Existence and uniqueness of weak solutions in the linear theory of elastic shells with voids. – Libertas Mathematica vol.20 pp.95-105.
 Chirita S. and Scalia A. (2001): On the spatial and temporal behaviour in linear thermoelasticity of materials with voids. – J. Therm. Stresses vol.24 No.5 pp.433-455.
 Cicco S.D. and Diaco M. (2002): A theory of thermoelastic materials with voids without energy dissipation. – J. Therm. Stresses vol.25 No.2 pp.493-503.
 Iesan D. and Nappa L. (2004): Thermal stresses in plane strain of porous elastic bodies. – Meccanica vol.39 pp.125-138.
 Iesan D. (2007): Nonlinear plane strain of elastic materials with voids. – Math. Mech. Solid. vol.11 No.4 pp.361-384.
 Tomar S.K. (2005): Wave propagation in a micropolar elastic plate with voids. – J. Vibr. Cont. vol.11 No.6 pp.849-863.
 Ciarletta M. Straughan B. and Zampoli V. (2007): Thermo-poroacoustic acceleration waves in elastic materials with voids without energy dissipation. – Int. J. Engng. Sci. vol.45 No.9 pp.736-743.
 Ciarletta M. Svanadze M. and Buonanno L. (2009): Plane waves and vibrations in the theory of micropolar thermoelasticity for materials with voids. – Eur. J. Mech. A/Solids vol.28 No.4 pp.897-903.
 Svanadze M.M. (2014): Potential method in the linear theory of viscoelastic materials with voids. – J. Elasticity vol.114 pp.101-126.
 Chirita S. and Danescu A. (2015): Surface waves in a thermo-viscoelastic porous half-space. – Wave Motion vol.54 pp.100-114.
 Iesan D. (1986): A theory of thermoelastic materials with voids. – Acta Mechanica vol.60 No.1-2 pp.67-89.
 Dhaliwal R.S. and Wang J. (1993): A heat-flux dependent theory of thermoelasticity with voids. – Acta Mechanica vol.110 No.1-4 pp.33-39.
 Ciarletta M. and Scalia A. (1993): On the nonlinear theory of nonsimple thermoelastic materials with voids. – J. Appl. Math. Mech. vol.73 No.2 pp.67-75.
 Ciarletta M. and Scarpetta E. (1995): Some results on thermoelasticity for dielectirc materials with voids. – J. Appl. Math. Mech. vol.75 No.9 pp.707-714.
 Tomar S.K. Bhagwan J. and Steeb H. (2014): Time harmonic waves in thermo-viscoelastic material with voids. – J. Vibr. Cont. vol.20 pp.1119-1136.
 Sharma K. and Kumar P. (2013): Propagation of plane waves and fundamental solution in thermoelastic medium with voids. – J. Therm. Stresses vol.36 pp.94-111.
 Bucur A.V. Passarella F. and Tibullo V. (2014): Rayleigh surface waves in the theory of therm elastic materials with voids. – Mechanica vol.49 pp.2069-2078.
 Bhagwan J. and Tomar S.K. (2016): Reflection and transmission of plane dilatational wave at an interface between an elastic solid and a thermo-viscoelastic solid half-space with voids. – J. Elasticity vol.121 pp.69-88.
 D’Apice C. and Chirita S. (2016): Plane harmonic waves in the theory of thermo-viscoelastic materials with voids. – J. Therm. Stresses vol.39 pp.142-155.
 Santra S. Lahiri A. and Das N.C. (2016): Reflection and refraction of generalized visco-thermoelastic waves at an interface between two half spaces. – Comput. Appl. Math. J. vol.2 No.1 pp.12-22.
 Achenbach J.D. (1973): Wave Propagation in Elastic Solids. – North Holland.
 Borchardt R.D. (2009): Viscoelastic Waves in Layered Media. – UK: Cambridge University Press.
 Mukhopadhyay S. (2000): Effect of thermal relaxation on thermo-viscoelastic interactions in an unbounded body with spherical cavity subjected to periodic loading on the boundary. – J. Therm. Stresses vol.23 pp.675-684.