Abstract :
In brittle solids, stress concentration at crack tips makes the macroscopic fracture properties very sensitive to
heterogeneities at the scale of the micro structure. So, the macroscopic resistance of a solid depends strongly on the resistance fluctuations at the microscopic scale. To describe quantitatively this phenomenon in disordered materials, we model first the behavior of the crack by a stochastic equation of motion taking into account the role of the microstructure. Our approach is first validated by comparing our theoretical predictions with recent experimental observations made on the dynamics and morphology of a crack front. We show how to use this approach to determine the effective resistance of a brittle material from the characteristics of its micro structure.
Author Name : Nadjime Pindra
DOI: https://doi.org/10.5281/zenodo.1134499
Keywords: Heterogeneous Materials; Dynamic Cracks, Effective Resistance.
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