Research
Deformation Due to Various Sources in a Thermally Conducing Cubic Crystal Material with Reference Temperature Dependent Properties
A homogeneous, thermally conducting cubic crystal, elastic half-plane subjected to normal, tangential force and thermal source under the effect of dependence of reference temperature on all elastic and thermal parameters is investigated. The interaction due to two types of loading: instantaneous and continuous has been considered. The Laplace and Fourier transforms technique has been used to obtain the components of displacement, stresses and temperature distribution for Lord and Shulman (L-S), Green and Lindsay (G-L), Green and Naghdi(G-N) and Chandrasekharaiah and Tzou (CTU) theories of generalized thermoelasticity. The concentrated and distributed loads have been taken to illustrate the utility of the approach. particular case is also deduced. The numerical inversion technique has been used to invert the integral transforms. The comparison of Linear case, quadratic case and exponential case, respectively, are depicted graphically for thermal source for L-S theory.
Deformation in a Three-Phase-Lag Model of Orthotropic Thermoviscoelastic Material
The present paper is aimed at studying the effect of viscosity on thermoelastic interactions in three-phase-lag model of a homogeneous thermally conducting orthotropic material whose surface is subjected to thermal excitations. The governing equations are solved by applying Laplace and Fourier transforms technique. Eigen value approach is used to obtain the expressions for the variables considered. Numerical computations are performed for a specific material and result obtained are represented graphically for temperature gradient boundary. Comparsions are made with in the theory in the presence and absence of viscosity effect.
