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Parameter Determination of Metamaterials in Generalized Mechanics as a Result of Computational Homogenization

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Advanced Problems in Mechanics (APM 2019)

Part of the book series: Lecture Notes in Mechanical Engineering ((LNME))

Abstract

As the length scale starts decreasing such that the inner substructure of the material becomes dominant in material response, the well-known theory of elasticity shows inadequacies. As a remedy, generalized mechanics is proposed leading to additional, inner substructure related parameters to be determined. In order to acquire them, for a so-called metamaterial with known substructure and material response in the length scale of the substructure, we present how to apply a computational approach based on the finite element method.

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  1. Institute of Mechanics, Technische Universität Berlin, Einsteinufer 5, 10587, Berlin, Germany

    Bilen Emek Abali & Hua Yang

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  1. Bilen Emek Abali
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Correspondence to Bilen Emek Abali .

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  1. IPME RAS, Peter the Great St. Petersburg Polytechnic University, Saint-Petersburg, Russia

    D.A. Indeitsev

  2. Peter the Great St. Petersburg Polytechnic University, IPME RAS, Saint-Petersburg, Russia

    A.M. Krivtsov

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Abali, B.E., Yang, H. (2020). Parameter Determination of Metamaterials in Generalized Mechanics as a Result of Computational Homogenization. In: Indeitsev, D., Krivtsov, A. (eds) Advanced Problems in Mechanics. APM 2019. Lecture Notes in Mechanical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-030-49882-5_2

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  • DOI: https://doi.org/10.1007/978-3-030-49882-5_2

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