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  Cornell University

MAE Publications and Papers

Sibley School of Mechanical and Aerospace Engineering

New article: The Use of Discrete Harmonics in Direct Multi-Scale Embedding of Polycrystal Plasticity

Article:  Barton NR, Bernier JV, Lebensohn RA, Boyce DE (2015)  “The Use of Discrete Harmonics in Direct Multi-Scale Embedding of Polycrystal Plasticity”, Computer Methods in Applied Mechanics and Engineering, 283: 224-242

DOI

Abstract:  We describe an approach for directly embedding polycrystal plasticity models in component scale calculations, with an emphasis on computational tractability. Previously, we have employed adaptive sampling to mitigate the computational cost of direct embedding, achieving two or more orders of magnitude in wall-clock speedup compared to more traditional approaches. However, in our previous work the crystal orientation distribution function (crystallographic texture) was not allowed to evolve significantly. Here we discuss an approach that allows for evolving texture by employing discrete harmonics, effectively decoupling considerations related to accuracy of integrals in the homogenization from those related to adequate representation of the evolving texture. We discuss the basic behaviors and convergence of the new polycrystal plasticity framework. Specific applications focus on the deformation of titanium, including the effects of twinning. Overall, the discrete harmonic based framework offers an attractive path forward for computationally efficient multi-scale embedding of polycrystal plasticity. (C) 2014 Elsevier B.V. All rights reserved.

Funding Acknowledgement:  U.S. Department of Energy, Lawrence Livermore National Laboratory [AC52-07NA27344 (LLNL-JRNL-650713)]; Laboratory Directed Research and Development Program at LLNL [04-ERD-102, 07-ERD-024]; U.S. Department of Energy, Office of Science, Office of Advanced Scientific Computing Research, Exascale Co-Design Center for Materials in Extreme Environments.

Funding Text:  This work was performed under the auspices of the U.S. Department of Energy by Lawrence Livermore National Laboratory under Contract DE-AC52-07NA27344 (LLNL-JRNL-650713). Initial development of some of the capabilities used here was funded by the Laboratory Directed Research and Development Program at LLNL (04-ERD-102, 07-ERD-024). RAL and NRB further acknowledge support from the U.S. Department of Energy, Office of Science, Office of Advanced Scientific Computing Research, as part of the Exascale Co-Design Center for Materials in Extreme Environments.

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