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Steel and Composite Structures
  Volume 22, Number 3, October30 2016 , pages 567-587

Plane waves in an anisotropic thermoelastic
Parveen Lata, Rajneesh Kumar and Nidhi Sharma

    The present investigation is to study the plane wave propagation and reflection of plane waves in a homogeneous transversely isotropic magnetothermoelastic medium with two temperature and rotation in the context of GN Type-II and Type-III (1993) theory of thermoelasticity. It is found that, for two dimensional assumed model, there exist three types of coupled longitudinal waves, namely quasi- longitudinal wave (QL), quasi- transverse wave (QTS) and quasi -thermal waves (QT). The different characteristics of waves like phase velocity, attenuation coefficients, specific loss and penetration depth are computed numerically and depicted graphically. The phenomenon of reflection coefficients due to quasi-waves at a plane stress free with thermally insulated boundary is investigated. The ratios of the linear algebraic equations. These amplitude ratios are used further to calculate the shares of different scattered waves in the energy of incident wave. The modulus of the amplitude and energy ratios with the angle of incidence are computed for a particular numerical model. The conservation of energy at the free surface is verified. The effect of energy dissipation and two temperatures on the energy ratios are depicted graphically and discussed. Some special cases of interest are also discussed.
Key Words
    phase velocity; attenuation coefficients; specific loss; penetration depth; reflection; energy ratios
(1) Parveen Lata:
Department of Basic and Applied Sciences, Punjabi University, Patiala, Punjab, India;
(2) Rajneesh Kumar:
Department of Mathematics, Kurukshetra University, Kurukshetra, Haryana, India;
(3) Nidhi Sharma:
Department of Mathematics, MM University, Mullana, Ambala, Haryana, India.

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