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Elastoplastic Deformations of Layered Structures

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Abstract

We formulate a large-strain model of single-slip crystal elastoplasticity in the framework of energetic solutions. The numerical performance of the model is compared with laboratory experiments on the compression of a stack of papers.

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Acknowledgements

Martin Kružík and Jan Valdman were supported by the GAČR project 21-06569K. Martin Kružík also thanks the ESI Vienna for its hospitality during his stay in January-February 2022 and the European Regional Development Fund (Project no. CZ.\(02.1.01/0.0/0.0/16\_019/0 0 0 0778)\). Karel Švadlenka’s research was supported by JSPS Kakenhi Grant numbers 19K03634 and 18H05481. Support in the framework of Visegrad Group (V4)-Japan Joint Research Program – Advanced Materials under grant No. 8F21011 is gratefully acknowledged by Daria Drozdenko and Kristián Máthis.

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Authors and Affiliations

  1. Faculty of Mathematics and Physics, Charles University, Ke Karlovu 5, 121 16, Prague 2, Czech Republic

    Daria Drozdenko, Michal Knapek & Kristián Máthis

  2. Institute of Information Theory and Automation, Czech Academy of Sciences, Pod vodárenskou veží 4, 182 00, Prague 8, Czech Republic

    Martin Kružík

  3. Faculty of Civil Engineering, Czech Technical University in Prague, Thákurova 7, 166 29, Prague 6, Czech Republic

    Martin Kružík

  4. Institute of Information Theory and Automation, Czech Academy of Sciences, Pod vodárenskou veží 4, 182 00, Prague 8, Czech Republic

    Jan Valdman

  5. Faculty of Information Technology, Czech Technical University in Prague, Thákurova 9, 166 29, Prague 6, Czech Republic

    Jan Valdman

  6. Graduate School of Science, Kyoto University, Kitashirakawa Oiwake-cho, Sakyo-ku, Kyoto, 606-8502, Japan

    Karel Švadlenka

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  1. Daria Drozdenko
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  2. Michal Knapek
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Correspondence to Martin Kružík.

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Drozdenko, D., Knapek, M., Kružík, M. et al. Elastoplastic Deformations of Layered Structures. Milan J. Math. 90, 691–706 (2022). https://doi.org/10.1007/s00032-022-00368-9

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