Plane wave propagation and domain of influence in fractional order thermoelastic materials with three-phase-lag heat transfer

ABSTRACT

The domain of influence theorem for the fractional order theory of anisotropic thermoelastic materials with three-phase-lag heat transfer is proposed. The fractional order theory of thermoelasticity with three-phase-lag heat transfer has been used to investigate the problem. The plane wave propagation in anisotropic thermoelastic medium having a fractional order derivative in the context of three-phase-lag model of thermoelasticity is studied. The governing equations for a transversely isotropic three-phase-lag model are reduced as a special case. Some wave characteristics are computed numerically and presented graphically.

KEYWORDS:

• Fractional order derivative
• three-phase-lag
• thermoelastic materials
• plane wave solution
• anisotropic media
• domain of influence

Funding

One of the authors, Vandana Gupta, is thankful to the Council of Scientific and Industrial Research (CSIR) for the financial support.