Abstarct: In this thesis, the behavior of a static crack in a generalized diffusion-thermoelasticity environment under shock is investigated. The crack is extracted using the extended finite element modeling and the stress intensity coefficients are extracted using the interactive integral method. Heat and concentration propagation are baxsed on generalized greedy-cash and nonfickle theories. The finite element method developed for discrete space equations and the Newmark implicit method for temporal integration have been used. For different loads (heat shock and concentration), stress intensity factors, crack tip temperature distribution and crack tip propagation have been studied. The effect of stress wave velocity, concentration wave and temperature wave on stress intensity factors for direct and oblique cracks have also been investigated. The result of different speeds is that for a state where the stress wave velocity and temperature wave velocity are the same as the concentration wave velocity, the increase in the stress intensity factor is faster and higher than the other states.