Crack diffusion in failure process of composite materials

ABSTRACT

We study the crack diffusion in composite materials subject to a local load-sharing fiber bundle model in two dimensions under an external load applied at a single point. By the use of the local load-sharing rule, the redistributed load remains localized along the boundary of the broken patch. We investigated the correlation function of the broken fibers. The results show that this magnitude decreases exponentially with time and it's characterized by a characteristic time which is inversely proportional to the diffusion coefficient of the localized crack. The results exhibit also that the crack correlation function in the failure process in composite materials decreases with both of applied load and temperature. We calculate then the diffusion coefficient of the localized crack. We have found that this diffusion coefficient increases by power law with the applied load and thermal noise.

KEYWORDS:

• the crack correlation function
• Fiber bundle model
• the crack diffusion coefficient, Thermal noise