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2 International Journal of Applied Mechanics and Engineering

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Propagation of waves in generalized thermoelastic continua with two temperature

Kaushal S., Sharma N., Kumar R.

International Journal of Applied Mechanics and Engineering

2010

Vol. 15, no 4

1111-1127

The present investigation is concerned with the following two problems. (i) Reflection and transmission of thermoelastic waves between two thermoelastic/ thermoelastic solids with two temperatures at an imperfect interface. The amplitude ratios of different reflected and transmitted waves are obtained and deduced for normal force stiffness, transverse force stiffness, thermal contact conductance and perfect bonding. The variations of amplitude ratios with angle of incidence are shown graphically for the longitudinal wave (P-wave), thermal wave (T-wave) and SV-wave. (ii) Propagation of Rayleigh waves in a thermoelastic half-space with two temperature at the free surface. The phase velocity and attenuation coefficient are obtained and presented graphically to depict the effect of two temperatures. Some special cases of interest are deduced from the present investigation.

Propagation of generalized thermoelastic pIane waves at an imperfect interface

Kumar R., Singh M.

International Journal of Applied Mechanics and Engineering

2007

Vol. 12, no 3

713-732

The present study is concerned with the reflection and transmission of thermoelastic pIane waves at an imperfect interface between two generalized thermoelastic solid half-spaces of different elastic and thermal properties. The generalized thermoelastic theory with one relaxation time developed by Lord and Shulman (1967) has been used to study the problem. The expressions for the reflection and transmission coefficients which are the ratios of the amplitudes of reflected and transmitted waves to the amplitude of incident waves are obtained for an imperfect boundary and deduced for normal stiffness, transverse stiffness, thermal contact conduetance, slip and welded boundaries. The amplitude ratios of various reflected and transmitted waves are also deduced at the interface of two semi-infinite media (I) Elastic/Generalized Thermoelastic and (II) Elastic/Elastic. The special case of stress free thermally insulated boundary has also been discussed. It is found that the amplitude ratios of reflected and transmitted waves are affected by the stiffness and thermal properties of the media.