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Abstract The theory of thermoelastic materials with voids is one of the most important generalizations of the classical theory of elasticity. The voids may be defined as the gaps full of air or fluid. This theory is useful for investigating various applications in the geological and the biological materials. Changes in the temperature cause’s the thermal effects on materials, some of these thermal effects include thermal stress, strain, and deformation. The first effect we will consider is thermal deformation. Thermal deformation simply means that as the ”thermal” energy (and temperature) of a material increase, so does the vibration of its atoms/molecules; and this increased vibration results in what can be considered a stretching of the molecular bonds, which causes the material to expand. Of course, if the thermal energy (and temperature) of a material decreases, the material will shrink or contract. The present thesis, is concerned with using Green-Naghdi theory (of both types II and III) to study the effect of rotation, the temperature dependent properties, the gravitational field, the initial stress, the two-temperature theory and the magnetic field of thermoelastic material with voids with thermal loading due to laser pulse. The analytical expressions for the displacement components, the stresses, the temperature, and the volume fraction field are obtained in the physical domain using the normal mode analysis. The normal mode analysis method is used to obtain the exact expressions for all physical quantities in the physical problems without any assumptions in the solutions. These expressions are calculated numerically for all the problems in the thesis and illustrated graphically in two dimensional space and three dimensional space for two different models in thermo-elasticity represented as the (G-N) theory of types II (without energy dissipation) and III (with energy dissipation) for different times in the laser problems, in the absence and presence of rotation, other physical effects as the temperature dependent properties, the gravity, the initial stress, the magnetic field effect and the two-temperature effect on thermoelastic material with voids. |