Crack analysis in diffusion-generalized thermoelasticity problems using the extended finite element method

In this paper, the behavior of a stationary crack in a generalized diffusion-thermoelasticity medium under temperature and concentration shock has been investigated. Cracks have been modeled using the extended finite element method and stress intensity factors have been obtained using the interaction integral method. To study the phenomenon of heat dissipation and concentration, generalized Green-Naghdi and non-Fickian theories have been used. The extended finite element method has been developed to discrete equations in space and the Newmark implicit method has been used to calculate time integrals. For different loads (heat shock and concentration), stress intensity factors and temperature and concentration distribution at the crack tip have been studied. The effect of stress wave velocity, concentration wave and temperature wave on stress intensity factors for straight and oblique cracks has also been investigated. It is observed that for the case where the speed of the stress wave, and the temperature wave are the same and greater than the speed of the concentration wave, the increase of the stress intensity factors is faster and higher in other states.