Effect of viscosity on wave propagation in anisotropic thermoelastic medium with three-phase-lag model. (English) Zbl 1299.74125

Kumar, Rajneesh; Chawla, Vijay; Abbas, Ibrahim A.

Theor. Appl. Mech. (Belgrade) 39, No. 4, 313-341 (2012).

Summary: We study the wave propagation in anisotropic viscoelastic medium in the context of the theory three-phase-lag model of thermoelasticity. It is found that there exist two quasi-longitudinal waves (qP1, qP2) and two transverse waves (qS1, qS2). The governing equations for homogeneous transversely isotropic thermoviscoelastic are reduced as a special case from the considered model. Different characteristics of waves like phase velocity, attenuation coefficient, specific loss and penetration depth are computed from the obtained results. The viscous effect is shown graphically on different resulting quantities for the two-phase-lag model and the three-phase-lag model of thermoelasticity. Some particular cases of interest are also deduced from the present investigation.

MSC:

74L05	Geophysical solid mechanics
74D05	Linear constitutive equations for materials with memory
74E10	Anisotropy in solid mechanics

Keywords:

wave propagation; viscoelastic; three-phase-lag; two-phase-lag model; anisotropic