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Chiral metamaterial predicted by granular micromechanics: verified with 1D example synthesized using additive manufacturing

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Abstract

Granular micromechanics approach (GMA) provides a predictive theory for granular material behavior by connecting the grain-scale interactions to continuum models. Here, we have used GMA to predict the closed-form expressions for elastic constants of macroscale chiral granular metamaterial. It is shown that for macroscale chirality, the grain-pair interactions must include coupling between normal and tangential deformations. We have designed such a grain-pair connection for physical realization and quantified with FE model. The verification of the prediction is then performed using a physical model of 1D bead string obtained by 3D printing. The behavior is also verified using a discrete model of 1D bead string.

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Acknowledgements

This research is supported in part by the United States National Science Foundation Grant CMMI -1727433.

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Authors and Affiliations

  1. Civil, Environmental and Architectural Engineering Department, University of Kansas, 1530 W. 15th Street, Learned Hall, Lawrence, KS, 66045-7609, USA

    Anil Misra & Michele De Angelo

  2. Mechanical Engineering Department, University of Kansas, 1530 W. 15th Street, Learned Hall, Lawrence, KS, 66045-7609, USA

    Nima Nejadsadeghi

  3. Dipartimento di Ingegneria Civile, Edile-Architettura e Ambientale, Università degli Studi dellAquila, Via Giovanni Gronchi 18 - Zona industriale di Pile, 67100, LAquila, Italy

    Michele De Angelo

  4. International Telematic University Uninettuno, C. so Vittorio Emanuele II 39, 00186, Rome, Italy

    Luca Placidi

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  1. Anil Misra
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Correspondence to Anil Misra.

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Communicated by Holm Altenbach and Victor A. Eremeyev.

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Misra, A., Nejadsadeghi, N., De Angelo, M. et al. Chiral metamaterial predicted by granular micromechanics: verified with 1D example synthesized using additive manufacturing. Continuum Mech. Thermodyn. 32, 1497–1513 (2020). https://doi.org/10.1007/s00161-020-00862-8

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