Multi-scale phase-field fracture model: Selective homogenization and macroscopic bounds

Other conference contribution, 2021

In this work, a multi-scale phase-field model for fracture is developed from the fully resolved phasefield model using the variationally consistent homogenization technique. The concept of selective homogenization is applied to the phase-field variable. Allowing the phase-field variable to live only on the sub-scale yields a conventional local damage model at the macro-scale, as the phase-field becomes an internal variable.