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Parametric Experimentation on Pantographic Unit Cells Reveals Local Extremum Configuration

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Abstract

Pantographic metamaterials are known for their ability to have large deformation while remaining in the elastic regime. We have performed a set of experiments on 3D printed pantographic unit cells to parametrically investigate their response when undergoing tensile, compression, and shear loading with the aim of i) studying the role of each parameter in the resultant mechanical behavior of the sample, and ii) providing a benchmark for the mathematical models developed to describe pantographic structures. Results show the existence of local extrema in the space of the geometrical parameters, suggesting the use of optimization techniques to find optimal geometrical parameters resulting in desired functionalities. We have also performed tensile relaxation tests on the samples, with the results indicating the complexity of the dynamic behavior and the existence of multiple relaxation characteristic times. Such results can be used to for calibrating mathematical models describing pantographic structures under dynamic loadings.

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

    N. Nejadsadeghi

  2. Dipartimento di Ingegneria Civile, Edile-Architettura e Ambientale, Università degli Studi dell’Aquila, Via Giovanni Gronchi 18 - Zona industriale di Pile, 67100, L’Aquila, Italy

    M. De Angelo

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

    M. De Angelo & A. Misra

  4. Dipartimento di Ingegneria e Scienze dell’Informazione e Matematica Università degli Studi dell’Aquila, L’Aquila, Italy

    R. Drobnicki

  5. Institute of Mechanics and Printing, Warsaw University of Technology, 85 Narbutta Street, 02-524, Warsaw, Poland

    T. Lekszycki

  6. Department of Experimental Physiology and Pathophysiology, Medical University of Warsaw, 1b Banacha Street, 02-097, Warsaw, Poland

    T. Lekszycki

  7. Dipartimento di Ingegneria Strutturale e Geotecnica, Università degli Studi di Roma “La Sapienza.”, Via Eudossiana 18, 00184, Rome, Italy

    F. dell’Isola

  8. International Research Center M & MoCS, Università degli Studi dell’Aquila, Via Giovanni Gronchi 18 - Zona industriale di Pile, 67100, L’Aquila, Italy

    F. dell’Isola

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  1. N. Nejadsadeghi
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  2. M. De Angelo
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Nejadsadeghi, N., De Angelo, M., Drobnicki, R. et al. Parametric Experimentation on Pantographic Unit Cells Reveals Local Extremum Configuration. Exp Mech 59, 927–939 (2019). https://doi.org/10.1007/s11340-019-00515-1

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