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ORIGINAL PAPER
Plane wave propagation in exponentially graded isotropic non local generalized thermoelastic solid medium under initial stress and gravity
1
Department of Mathematics, Deenbandhu Chhotu Ram University of Science and Technology, India
2
Department of Physical Science (Mathematics), Baba Mastnath University, India
These authors had equal contribution to this work
Submission date: 2025-02-28
Final revision date: 2025-04-27
Acceptance date: 2025-09-10
Online publication date: 2025-12-05
Publication date: 2025-12-05
Corresponding author
Krishan Kumar
Department of Mathematics, Deenbandhu Chhotu Ram University of Science and Technology, Murthal, Sonipat, India
Department of Mathematics, Deenbandhu Chhotu Ram University of Science and Technology, Murthal, Sonipat, India
International Journal of Applied Mechanics and Engineering 2025;30(4):86-103
KEYWORDS
TOPICS
ABSTRACT
The work is concerned with the propagation of plane waves at the free half space in a exponentially graded isotropic nonlocal generalized thermoelastic solid medium under initial stress and gravity. We study the incidence of P or SV waves at the free half space. We found three reflected waves namely P, thermal T and SV waves propagating with different speeds. The phase speeds, reflection and energy coefficients are calculated in closed form to study the impact of gravity and initial stress parameter on reflection and energy coefficients. These are calculated numerically and shown graphically with the help of MATLAB. Some special cases of interest are also drawn from the present investigation.
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