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WAVE PROPAGATION IN AN INHOMOGENEOUS ANISOTROPIC GENERALIZED THERMOELASTIC SOLID UNDER THE EFFECT OF GRAVITY

Volume 6, Issue 3, 2014, pp. 241-250
DOI: 10.1615/.2014010868
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ABSTRACT

The plane wave propagation in an inhomogeneous anisotropic thermally conducting elastic solid under the effect of gravity is studied with two thermal relaxations times. Three types of plane waves, namely quasi-P, quasi-S, and thermal waves, are shown to exist. The analytical expressions for their velocities of propagation are obtained. The inhomogeneity in elastic coefficients, density, thermal conductivities, and thermal moduli are considered exponential type. It drastically affects the velocity of these waves and also depends on the angle of propagation, frequency, and gravity. The effects of these parameters are shown graphically.

CITED BY
  1. Kumar Santosh, Pal Prakash Chandra, Majhi Sabitri, Reflection and Transmission of Plane SH-Waves Through an Anisotropic Magnetoelastic Layer Sandwiched Between Two Semi-Infinite Inhomogeneous Viscoelastic Half-Spaces, Pure and Applied Geophysics, 172, 10, 2015. Crossref

  2. Pal Prashanta, Kanoria Mridula, Thermoelastic wave propagation in a transversely isotropic thick plate under Green–Naghdi theory due to gravitational field, Journal of Thermal Stresses, 40, 4, 2017. Crossref

  3. Majhi S., Pal P. C., Kumar S., Reflection and transmission of plane SH-waves in an initially stressed inhomogeneous anisotropic magnetoelastic medium, Journal of Seismology, 21, 1, 2017. Crossref

  4. Majhi S., Pal P.C., Kumar S., Propagation of SH waves in a visco-elastic layer overlying an inhomogeneous isotropic half-space, Ain Shams Engineering Journal, 9, 4, 2018. Crossref

  5. Gupta Shishir, Ahmed Mostaid, Pramanik Abhijit, Shear waves in elastic medium with void pores welded between vertically inhomogeneous and anisotropic magnetoelastic semi-infinite media, Acta Geophysica, 65, 1, 2017. Crossref

  6. Li Yueqiu, Wang Wanli, Wei Peijun, Wang Changda, Reflection and transmission of elastic waves at an interface with consideration of couple stress and thermal wave effects, Meccanica, 53, 11-12, 2018. Crossref

  7. Sur Abhik, Pal Prashanta, Kanoria Mridula, Modeling of memory-dependent derivative in a fiber-reinforced plate under gravitational effect, Journal of Thermal Stresses, 41, 8, 2018. Crossref

  8. Kumar S., Billa M. M., Rayleigh wave propagation in a homogeneous anisotropic generalized thermoelastic layer under three theories, 1ST INTERNATIONAL CONFERENCE ON MATHEMATICAL TECHNIQUES AND APPLICATIONS: ICMTA2020, 2277, 2020. Crossref

  9. Purkait Pallabi, Sur Abhik, Kanoria M., Thermal wave propagation in a two-dimensional problem under gravitational field due to time-dependent thermal loading and memory effect, Waves in Random and Complex Media, 2021. Crossref

  10. Kumar S., Prakash D., Sivakumar Narsu, Kumar B. Rushi, Dispersion of Rayleigh Wave in a Shielded Anisotropic Generalized Thermoelastic Layer, in Recent Advances in Applied Mathematics and Applications to the Dynamics of Fluid Flows, 2023. Crossref

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