الفهرس 
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Abstract
This thesis is devoted to study the wave propagation of generalized thermoelastic diffusion half-space based on (CD) and (L-S) theories. After presentation the fundamental equations of the problems (Equation of motion, Equation of energy, Equation of diffusion) and constitutive equations (Equation of stress, Equation of the chemical potential). Also contain boundary conditions. By using the potential functions all the above equations were written. Applying the method of normal mode analysis. We obtain an analytical expressions for the distribution of temperature, components of displacement, the stress and diffusion (the chemical potential, the concentration). Finally numerical calculating are carried out by taking the copper material. Resulting are presented in group of figures and discussions are given.