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3 International Journal of Applied Mechanics and Engineering

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Effect of rotation in an orthotropic elastic slab

Santra S., Lahiri A., Das N. C.

International Journal of Applied Mechanics and Engineering

2017

Vol. 22, no. 1

163--174

The fundamental equations of the two dimensional generalized thermoelasticity (L-S model) with one relaxation time parameter in orthotropic elastic slab has been considered under effect of rotation. The normal mode analysis is used to the basic equations of motion and heat conduction equation. Finally, the resulting equations are written in the form of a vector-matrix differential equation which is then solved by the eigenvalue approach. The field variables in the space time domain are obtained numerically. The results corresponding to the cases of conventional thermoelasticity CTE), extended thermoelasticity (ETE) and temperature rate dependent thermoelasticity (TRDTE) are compared by means of graphs.

Reflection of P-wave and SV-wave in a generalized two temperature thermoelastic half-space

Santra S., Lahiri A., Das N. C.

International Journal of Applied Mechanics and Engineering

2014

Vol. 19, no. 4

735--754

In this work the theory of two temperature generalized thermoelasticity has been used to investigate the problem of reflection of P-wave and SV-wave in a half space when the surface is i) thermally insulated or ii) isothermal. The ratios of the reflection coefficient to that of the incident coefficient for different cases are obtained for P-wave and SV-waves. The results for various cases for the conductive and dynamical temperature have been compared. The results arrived at in the absence of the thermal field (elastic case) have also been compared with those in the existing literature. Finally, the results for various cases have been analyzed and depicted in graphs.

Reflection and refraction of generalized temperature rate dependent thermoelastic waves at an interface between two semi-infinite media

Lahiri A., Das N. C., Bera M. B., Basu S.

International Journal of Applied Mechanics and Engineering

2011

Vol. 16, no 4

1051-1069

The problem of reflections and refractions of the generalized temperature rate dependent thermoelastic waves at an interface between two semi-infinite media is considered. Amplitude ratios for the P- and SV- waves are found out by considering the mechanical and thermal boundary conditions at the interface. The results arrived at are analyzed and presented graphically.