Sarhan Y. Atwa

Response of Micropolar Thermoelastic Solid with Voids Due to Various Sources Under Green Naghdi Theory

Green-Naghdi (G-N) theory of thermoelasticity is employed to study the deformation of micropolar thermoelastic solid with voids considering the influence of various sources acting on the plane surface. The normal mode analysis is used to obtain the analytical expressions of the displacement components, force stress, coupled stress, variation of volume fraction field and temperature distribution. The computed results are presented graphically when the volume source is applied. Comparisons of type II and type III with and without micropolarity effect are made with the results predicted in the context of (G-N) theory.

The Effect of Magnetic Field and ThermalRelaxation Time on Three DimensionalThermal Shock Problem in GeneralizedThermoelasticity

The purpose of this paper is to scrutinize the effect of magnetic field and thermal relaxation time on a general three-dimensional model of the equations of generalized magneto-thermoelasticity in a homogeneous, isotropic, thermally and perfectly conducting elastic half-space solid whose surface is subjected to a thermal shock in the context of the Lord-Shulman theory. The normal mode analysis is used to obtain the expressions for the displacement, thermal stress, strain and temperature. Some comparisons displayed graphically to illustrate the effects of magnetic field and relaxation time on the physical quantities. Such problems are very important in many dynamical systems and some particular cases of special interest have been deduced from the present investigation.