3127 - BRIDGING THE SCALES WITH STATISTICAL DAMAGE MECHANICS

Statistical damage mechanics establishes the connection between the disordered microstructure and the macroscopic properties of a damaged material. During the damage process the specimen changes from random homogeneous, when the micro-cracks develop by nucleation at the weak spots of microstructure, to heterogeneous, when the micro-cracks density enlarges. The macro-parameters of the quasi-brittle specimen in both the hardening and softening phases are algebraic expressions of the damage function ( ) L D , e . The microstructure of the damaged specimen, during the process, was modeled as a two-dimensional VoronoiDelaunay lattice. The Family-Vicsek scaling relation is applied to the simulation data to scale the function ( ) L D , e .