- By:
- Nukala, Phani K; Simunovic, Srdjan ; Zapperi, Stefano
- Page Number:
- 1
- Book Title:
- Multiscale Materials Modeling
- Publication Date:
- November 1, 2006
- Conference Name:
- Third International Conference on Multiscale Materials Modeling
- Conference Location:
- Freiburg, Germany
Abstract
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 downdating scheme for simulating 2D random fuse model systems, and a block-circulant preconditioner for simulating 3D random fuse model systems. Using these algorithms, we were able to simulate fracture of {it largest ever} lattice system sizes ($L = 1024$ in 2D, and $L = 64$ in 3D) with extensive statistical sampling. Our recent massively parallel simulations on $1024$ processors of Cray-XT3 and IBM Blue-Gene/L have further enabled us to explore fracture of 3D lattice systems of size $L = 128$, which is a significant computational achievement. Based on these large-scale simulations, we analyze the scaling of crack surface roughness.
