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

Phani K.V.V. Nukala; Sran Šimunović; Stefano Zapperi; Mikko J. Alava

doi:10.1007/s10820-007-9080-y

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

Phani K.V.V. Nukala, Sran Šimunović, Stefano Zapperi, Mikko J. Alava

Multiscale Materials

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

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 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.

Original language	English
Pages (from-to)	25-35
Number of pages	11
Journal	Journal of Computer-Aided Materials Design
Volume	14
Issue number	SUPPL. 1
DOIs	https://doi.org/10.1007/s10820-007-9080-y
State	Published - Dec 2007

Funding

Acknowledgements PKVVN is sponsored by the Mathematical, Information and Computational Sciences Division, Office of Advanced Scientific Computing Research, U.S. Department of Energy under contract number DE-AC05-00OR22725 with UT-Battelle, LLC. PKVVN also acknowledges the use of “BGL”, a 1024-node BG/L machine operated by the Mathematics and Computer Science Division at Argonne National Laboratory through his INCITE Award. In addition, the research used resources of the Center for Computational Sciences at Oak Ridge National Laboratory.

Funders	Funder number
U.S. Department of Energy	DE-AC05-00OR22725
Advanced Scientific Computing Research

Keywords

Crack roughness
Random fuse model

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10.1007/s10820-007-9080-y

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title = "Fracture in three-dimensional random fuse model: Recent advances through high-performance computing",

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 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.",

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N2 - 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 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.

AB - 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 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.

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

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