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On the Characterization of the Nonlinear Reduced Micromorphic Continuum with the Local Material Symmetry Group

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Higher Gradient Materials and Related Generalized Continua

Part of the book series: Advanced Structured Materials ((STRUCTMAT,volume 120))

Abstract

Following the definition of the local material symmetry group for micromorphic media given in Eremeyev (2018), we discuss here the constitutive equations of the reduced micromorphic continuum introduced in Neff et al (2014). With this definition we demonstrate that the reduced micromorphic model can be characterized as a micromorphic subfluid that is an intermediate class between micromorphic solids and fluids.

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Acknowledgements

Author acknowledges the support of the Government of the Russian Federation (contract No. 14.Y26.31.0031).

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Authors and Affiliations

  1. Faculty of Civil and Environmental Engineering, Gdańsk University of Technology, ul. Gabriela Narutowicza 11/12, 80-233, Gdańsk, Poland

    Victor A. Eremeyev

  2. Research Institute for Mechanics, Nizhny Novgorod Lobachevsky State University, 23, Gagarin av., 603950, Nizhny Novgorod, Russia

    Victor A. Eremeyev

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  1. Victor A. Eremeyev
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Correspondence to Victor A. Eremeyev .

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Editors and Affiliations

  1. Institut für Mechanik, Otto-von-Guericke-University Magdeburg, Magdeburg, Germany

    Holm Altenbach

  2. Technische Universität Berlin, Institut für Mechanik, Berlin, Germany

    Wolfgang H. Müller

  3. Institut für Mechanik, Technische Universität Berlin, Berlin, Germany

    Bilen Emek Abali

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Eremeyev, V.A. (2019). On the Characterization of the Nonlinear Reduced Micromorphic Continuum with the Local Material Symmetry Group. In: Altenbach, H., Müller, W., Abali, B. (eds) Higher Gradient Materials and Related Generalized Continua. Advanced Structured Materials, vol 120. Springer, Cham. https://doi.org/10.1007/978-3-030-30406-5_3

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