Plane wave propagation in functionally graded isotropic couple stress thermoelastic solid media under initial stress and gravity

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.

Automated summary

This study focuses on the wave propagation at the interface of isolated exponentially graded couple stress thermoelastic media under initial stress and gravity. It analyzes the influence of initial stress and gravity on reflection and refraction coefficients for both upper and lower couple stress thermoelastic half-spaces. Three waves are identified, including quasi-SV and two longitudinal waves propagating with different speeds, with their phase speeds, equations of motions, reflection and refraction coefficients calculated in closed form. The impact of gravity and initial stress parameter is also numerically calculated and graphically presented.