https://doi.org/10.1140/epjp/s13360-021-01097-5
Regular Article
Plane wave propagation in functionally graded isotropic couple stress thermoelastic solid media under initial stress and gravity
Department of Mathematics, Deenbandhu Chhotu Ram University of Science and Technology, 131039, Murthal, India
b
sehrawatravinder@yahoo.co.in
Received:
15
October
2020
Accepted:
8
January
2021
Published online:
21
January
2021
The work is concerned with the wave propagation at the interface of isolated exponentially graded couple stress thermoelastic media under initial stress and gravity. We analyse the influence of initial stress and gravity on reflection and refraction coefficients for both upper and lower couple stress thermoelastic half-spaces. Further, we found there are three waves, viz. quasi-SV and set of two longitudinal waves propagating with different speeds. The phase speeds, equation of motions, reflection and refraction coefficients are calculated in closed form. The impact of gravity and initial stress parameter has also been calculated numerically and shown graphically.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021
