Crack diffusion in failure process of composite materials

Abstract

KEYWORDS the crack correlation function; Fiber bundle model; the crack diffusion coefficient, Thermal noise ABSTRACTWe 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.

Scaling law in avalanche breaking of composite materials

“…For the first regime TrTc≈0.06 and for the second regime TrTc≈0.05 These results prove the same behavior as the applied load of the two interval time regimes because the quasi-static effect of the temperature completes the dynamic effect of the external applied load to the system. Moreover, to check the effect of the system size on the failure process, simulation has been performed by varying the material size L under boundary cyclic conditions (Sbiaai et al , 2017; Hader et al , 2016; Sbiaai et al , 2019; Hader et al , 2014b; Tanasehte et al , 2020a, b) . The corresponding results are plotted in Figure 5.…”

“…Composite materials are used extensively in different areas such as aerospace and more recently in automotive applications (Sbiaai et al , 2017; Hader et al , 2016). Their high mechanical performance and good fatigue resistance offer different advantages compared to traditional materials, in comparison with metal, their damage mechanism is very complex.…”

“…Composite structures for mechanical and industry applications are designed to retain structural integrity and remain durable for the intended service life. The important advance has been made in typifying and modeling the underlying mechanic behavior, developing tools and methodologies for predicting the fracture of materials (Sbiaai et al , 2017; Hader et al , 2016).…”