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Abstract This thesis is interested to study and discuss some problems of generalized thermoelastic medium in three dimensions under the influence of different fields such as the effect of rotation, magnetic field, reference temperature, gravitational field, laser pulse on the thermoelastic medium with diffusion, as well as the effect of laser pulse on the micropolar thermoelastic medium using different theories of generalized thermoelasticity and the normal mode method. The thesis is organized in seven chapters as follows: Chapter one: consists of eleven sections contain a review of thermoelasticity. Chapter two: the Green-Naghdi (G-N) theory of type II (without energy dissipation) was used to study the influence of the rotation on three dimensions of generalized thermoelastic medium. The effect of rotation was discussed numerically and are illustrated graphically. Chapter three: the Lord-Shulman (L-S) theory was used to investigate the effect of magnetic field on three dimensional thermal shock problem in generalized thermoelasticity. The effect of magnetic field and relaxation time were discussed with numerically and are illustrated in a graphical method. Chapter four: the normal mode analysis was used to discuss a three dimensional generalized thermoelasticity problem with temperature dependent properties in the context of the Green- Naghdi (G-N) theory of type II (without energy dissipation). The effect of reference temperature was discussed numerically and are illustrated graphically. Chapter five: the Dual-Phase-Lag (DPL) theory was investigated to study the effect of gravity field on generalized thermoelastic medium in three dimensions. The effect of gravity field, phase-lag of temperature gradient and phase lag of the heat flux were discussed numerically and are illustrated graphically. Chapter six: the Green-Lindsay (G-L) theory was introduced to discuss the influence of thermal loading due to laser pulse on a three-dimensional problem of the generalized thermoelasticity with diffusion. The effect of laser pulse was discussed with numerically and are illustrated in a graphical method. Chapter seven: the Green-Naghdi (G-N) theory of type III (with energy dissipation) was introduced to study the influence of thermal loading due to laser pulse on generalized micropolar thermoelasticity in three dimensions. The effect of laser pulse was discussed numerically and are illustrated graphically. |