Statistical Damage Mechanics— Part I: Theory

Statistical damage mechanics in this work establishes the connection between damaged random heterogeneous micromaterial and the system macroparameter. Renormalization group theory provides the bridge from the microscale to the macroscale. Delaunay lattices, which simulate and capture the role of the disordered microstructure in damage process, substitute a polycrystal specimen assuming that microcracks are grain-boundaries cracks. The macroparameters of the system, in the form of algebraic functions, are obtained applying the Family–Vicsek scaling relation on simulation data.