A stochastic approach to capture crystal plasticity |
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Authors: | Liangzhe Zhang,Ré mi DingrevilleTimothy Bartel,Mark T. Lusk |
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Affiliation: | a Department of Physics, Colorado School of Mines, Golden, CO 80401, USA b Department of Mechanical and Aerospace Engineering, NYU-Poly, Brooklyn, NY 11201, USA c Sandia National Laboratories, Albuquerque, NM 87185, USA |
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Abstract: | A stochastic crystal plasticity model is proposed and applied within the rate-independent regime. As opposed to conventional deterministic algorithms wherein multiple slip systems are activated and redundant constraints may exist, the new Monte Carlo plasticity (MCP) paradigm is based on a stochastic chain of singly activated slip systems and thus avoids the possible ill-condition associated with multi-slip algorithms. The choice of the activated slip system is made at each Monte Carlo (MC) step based on the Metropolis algorithm. The MCP model is implemented within a Material Point Method (MPM) as a constitutive model to capture the elasto-plastic behavior of polycrystalline materials. A comparison with a commonly used singular value decomposition (SVD) algorithm indicates that MCP offers superior computational efficiency while maintaining comparable accuracy. |
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Keywords: | Crystal plasticity Monte Carlo Rate independent Single slip Efficiency |
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