Fracture in three-dimensional random fuse model: recent advances through high-performance computing

The paper presents the state-of-the-art algorithmic developments for simulating the fracture of disordered quasi-brittle materials using discrete lattice systems. Large scale simulations are often required to obtain accurate scaling laws; however, due to computational complexity, the simulations using the traditional algorithms were limited to small system sizes. In our earlier work, we have developed two algorithms: a multiple sparse Cholesky...