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Elastic–plastic deformation decomposition algorithm for metal clusters at the atomic scale

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Abstract

This study proposes a new elastic–plastic deformation decomposition algorithm for metal clusters to calculate micro-nanoscale elastic and plastic deformation gradients. In the macroscopic plasticity theory, the intermediate configuration is usually constructed by the dissection–unloading method. Because an atomic cluster is equivalent to a small element on a macroscopic object, our decomposition algorithm regards the unloaded configuration as the intermediate configuration for atomic clusters. This algorithm uses a new unloading method to obtain the unloaded configuration. This micro-nanoscale unloading method is constructed based on the principle of minimum potential energy and the embedded-atom method. Moreover, this method rigidly fixes atoms around dislocations during unloading. Therefore, the unloading process will not cause new plastic flow. Once the intermediate configuration is obtained, elastic and plastic deformation gradients are calculated by the interpolation method. Numerical examples of Cu nanowire stretching and bending show that the new decomposition algorithm can accurately and rapidly conduct the elastic–plastic decomposition of the total deformation. This algorithm provides a computational basis for multiscale coupling analysis of mechanical behavior of metal materials from the micro-nanoscale to the macroscale.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China [51739007] and the State Key Laboratory of Science and Engineering.

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Authors and Affiliations

  1. Information Research Center of Military Science, PLA Academy of Military Science, Beijing, 100142, China

    Yifan Yu

  2. LSEC, ICMSEC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China

    Yifan Yu & Junzhi Cui

  3. School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing, 100049, China

    Yifan Yu & Junzhi Cui

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  1. Yifan Yu
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  2. Junzhi Cui
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Correspondence to Yifan Yu.

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Yu, Y., Cui, J. Elastic–plastic deformation decomposition algorithm for metal clusters at the atomic scale. Comput Mech 67, 567–581 (2021). https://doi.org/10.1007/s00466-020-01948-5

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  • DOI: https://doi.org/10.1007/s00466-020-01948-5

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