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Stoneley wave propagation in transversely isotropic thermoelastic rotating medium with memory-dependent derivative and two temperature

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Abstract

In the present paper, we bring forth the study of the propagation of the Stoneley wave with modified GN theory of type II thermoelasticity without energy dissipation, including memory-dependent derivative (MDD) and two temperatures and with rotation. Secular equations of Stoneley waves at the interface of two separate homogeneous transversely isotropic (HTI) thermoelastic mediums are determined in the form of determinants after constructing the formal solution based on the necessary boundary conditions. The wave characteristics have been obtained for different Kernel functions of the MDD from the secular equations and are depicted graphically. The effect of Kernel functions and two temperature has been depicted on the displacement component, Temperature distribution, stress component, phase velocity, and attenuation coefficient.

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Abbreviations

\({e}_{ij}\) :

Strain tensors

\(\overrightarrow{u}\) :

Displacement vector

\({K}_{ij}^{*}\) :

Materialistic constant

\({\alpha }_{ij}\) :

Linear thermal expansion coefficient

\(\delta \left(t\right)\) :

Dirac’s delta function

\(2\Omega \times \dot{u}\) :

Coriolis acceleration

\({\tau }_{0}\) :

Relaxation time

\({t}_{ij}\) :

Stress tensors

\({\delta }_{ij}\) :

Kronecker delta

\({u}_{i}\) :

Components of displacement

\({a}_{ij}\) :

Two temperature parameters

\({C}_{E}\) :

Specific heat

\(\xi \) :

Wavenumber

\({\beta }_{ij}\) :

Thermal elastic coupling tensor

\(\omega \) :

Angular frequency

\({\varvec{\Omega}}\) :

Angular velocity of the solid and equal to \(\Omega {\varvec{n}}\), where n is a unit vector

\({C}_{ijkl}\) :

Elastic parameters

\({F}_{i}\) :

Components of Lorentz force

\(\varphi \) :

Conductive temperature

\({\varepsilon }_{0}\) :

Electric permeability

\({T}_{0}\) :

Reference temperature

\(T\) :

Absolute temperature

\({C}_{1}\) :

Longitudinal wave velocity

\(\rho \) :

Medium density

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Authors and Affiliations

  1. Department of Mathematics, Government College for Girls, Palwal, Kurukshetra, India

    Iqbal Kaur

  2. Faculty of Engineering, UIET, Kurukshetra University, Haryana, India

    Kulvinder Singh

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Kaur, I., Singh, K. Stoneley wave propagation in transversely isotropic thermoelastic rotating medium with memory-dependent derivative and two temperature. Arch Appl Mech 93, 3313–3325 (2023). https://doi.org/10.1007/s00419-023-02440-1

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