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A continuous numerical model of pure mode I crack propagation in a bidimensional heterogeneous material is presented. This model describes the propagation of a macrocrack into a two-phases brittle material with a finite density of inclusions. The morphology of cracks produced for several mechanical and microstructural conditions is analysed. We find that the simulated cracks are self-affine. Furthermore, it is shown that there exists a microstructure leading to an optimal fracture toughness

Model of Crack Propagation in Heterogeneous Materials Local Approach