2 papers
math.AP2024
Energy balance and damage for dynamic brittle fracture from a nonlocal formulation
Robert P. Lipton, Debdeep Bhattacharya
A nonlocal model of peridynamic type for dynamic brittle damage is introduced consisting of two phases, one elastic and the other inelastic. Evolution from the elastic to the inela…
math.NA2023
Quasistatic fracture evolution
Debdeep Bhattacharya, Robert Lipton, Patrick Diehl
Nonlocal quasistatic fracture evolution for interacting cracks is developed and supporting numerical examples are presented. The approach is implicit and is based on local stationa…