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Mathematical study of Rayleigh waves in piezoelectric microstretch thermoelastic medium

Kumar Arvind, Abo-Dahab S. M., Ailawalia Praveen

Mechanics and Mechanical Engineering

2019

Vol. 23, nr 1

86--93

This paper is concerned with the study of propagation of Rayleigh waves in a homogeneous isotropic piezo-electric microstretch-thermoelastic solid half-space. The medium is subjected to stress-free, isothermal boundary. After developing a mathematical model, the dispersion curve in the form of polynomial equation is obtained. Phase velocity and attenuation coefficient of the Rayleigh wave are computed numerically. The numerically simulated results are depicted graphically. Some special cases have also been derived from the present investigation.

Elastodynamical disturbances due to laser irradiation in a microstretch thermoelastic medium with microtemperatures

Kumar Arvind, Singh Devinder

Mechanics and Mechanical Engineering

2019

Vol. 23, nr 1

103--112

This research is concerned with the study of mechanical disturbances due to presence of ultra-short laser pulse as input heat source in a microstretch thermoelastic medium with microtemperatures. The medium is subjected to normal and tangential forces. The solution of the problems is developed in terms of normal modes. Mathematical expressions have been obtained for normal stress, tangential stress, microstress and temperature change. The numerically computed results are shown graphically. A mathematical model has been developed and various stress quantities have been analyzed. Some particular cases are also derived from the present investigation.

Thermomechanical interactions due to laser pulse in microstretch thermoelastic medium

Kumar R., Kumar A., Singh D.

Archives of Mechanics

2015

Vol. 67, nr 6

439--456

The present investigation deals with deformation in microstretch generalized thermoelastic medium subjected to thermomechanical loading induced by thermal laser pulse. The Laplace and Fourier transform techniques are used to solve the problem, and concentrated normal force and thermal source describe the application of this approach. The closed form expressions of normal stress, tangential stress, couple stress, microstress and temperature distribution are obtained for the transferred domain. The numerical inversion technique of Laplace transform and Fourier transform has been applied to obtain the resulting quantities in the physical domain after developing a computer program. Normal stress, tangential stress, coupled stress and microstress temperature distribution are depicted graphically to show the microstretch effect. Some particular and special cases of interest are gathered and presented in the investigation.