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

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Journal of Computer-Aided Materials Design

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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Authors and Affiliations

  1. Computer Science and Mathematics Division, Oak Ridge National Laboratory, Oak Ridge, TN, 37831-6164, USA

    Phani K. V. V. Nukala & Srđan Šimunović

  2. CNR-INFM, Dipartimento di Fisica, Sapienza, Università diRoma, P.le A. Moro 2, 00185, Rome, Italy

    Stefano Zapperi

  3. Laboratory of Physics, Helsinki University of Technology, Espoo, 02105 HUT, Finland

    Mikko J. Alava

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  1. Phani K. V. V. Nukala
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  2. Srđan Šimunović
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  3. Stefano Zapperi
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  4. Mikko J. Alava
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Correspondence to Phani K. V. V. Nukala.

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Nukala, P.K.V.V., Šimunović, S., Zapperi, S. et al. Fracture in three-dimensional random fuse model: recent advances through high-performance computing. J Computer-Aided Mater Des 14 (Suppl 1), 25–35 (2007). https://doi.org/10.1007/s10820-007-9080-y

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  • DOI: https://doi.org/10.1007/s10820-007-9080-y

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