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On the study of mystical materials identified by indentation on power law and Voce hardening solids

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Abstract

We conduct an incisive investigation of the existence of a one-to-one correspondence between a material’s elastoplastic properties and its indentation responses, with particular emphasis on the residual imprint. We first unravel a so-called ”mystical material” pair reported by Chen et al. (J Mech Phys Solids, 55(8):1618, 2007) by examining the specimens’ post-indentation morphologies, despite using a single self-similar indenter. Next, using Metric Multidimensional Scaling (MDS), we mitigate the mystical material issue for materials hardening according to the popular Hollomon’s power law equation. In contrast, the same exact protocol reveals the absence of a one-to-one correspondence between the single indentation response and Voce hardening parameters. To alleviate this, we propose a multi-depth indentation strategy.

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Acknowledgements

This study was funded by National Natural Science Foundation of China (Ref No. 11620101002) and the China scholarship Council (Ref No. 201404490062). This work has also been supported by the French National Research Agency (ANR) through the research grant Micromorfing, ANR-14-CE07-0035-01.

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Authors and Affiliations

  1. State IJR Center of Aerospace Design and Additive Manufacutring, Northwestern Polytechnical University, Xi’an, China

    L. Meng

  2. Sorbonne Universités, Université de Technologie de Compiègne, CNRS, Laboratoire Roberval, UMR 7337, Centre de Recherches de Royallieu, CS 60319, 60200, Compiègne Cedex, France

    L. Meng & P. Breitkopf

  3. Laboratoire de Génie Civil et Génie Mécanique EA 3913, INSA de Rennes, 20 Avenue des Buttes de Coesmes, 35708, Rennes Cedex, France

    B. Raghavan

  4. Laboratoire de Génie Civil et Génie Mécanique EA 3913, Université de Rennes 1, 9 rue Jean Macé, 35000, Rennes, France

    G. Mauvoisin, O. Bartier & X. Hernot

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  1. L. Meng
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  2. P. Breitkopf
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  3. B. Raghavan
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  4. G. Mauvoisin
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  6. X. Hernot
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Correspondence to L. Meng.

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Meng, L., Breitkopf, P., Raghavan, B. et al. On the study of mystical materials identified by indentation on power law and Voce hardening solids. Int J Mater Form 12, 587–602 (2019). https://doi.org/10.1007/s12289-018-1436-1

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  • DOI: https://doi.org/10.1007/s12289-018-1436-1

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