This Project Grant award from the National Science Foundation (NSF) Division of Mathematical Sciences provides $250,000 to the University of Illinois in Urbana, Illinois over the period of August 15, 2023 to July 31, 2026. The goal of the project is to develop a rigorous mathematical formulation to describe fractures in dissipative solids, which can dissipate energy through viscous or plastic deformation. The key objectives are to: 1) Develop a time-discrete formulation of brittle fracture evolution in dissipative solids under quasistatic mechanical loading, 2) Develop a phase-field regularization of the time-discrete formulation and establish its convergence, and 3) Numerically implement the phase-field formulation and validate it against experimental data on different types of solids. This research aims to establish the Griffith fracture theory as a universal description of fracture in any solid material, and to develop a computational tool to predict fracture nucleation and propagation in structures made of dissipative solids.
Generated 4/30/24, 5:14 AM