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Advances in Extended and Multifield Theories for Continua pp 19–45Cite as

From Lattice Models to Extended Continua

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Part of the book series: Lecture Notes in Applied and Computational Mechanics ((LNACM,volume 59))

Abstract

The mechanical behavior of cellular structures is dominated by the underlying micro-topology and therefore has to be denoted very complex. For that reason the question of the computational treatment of such structures is not completely cleared yet. One way to do computations for materials with underlying microstructure is to treat them as homogeneous bodies in the framework of extended continuum theories. These theories consist of an extended set of balance equations, extended kinematic strain measures and extended constitutive equations with additional material parameters. Mostly the physical interpretation of those additional material parameters is not demonstrated vividly. So it is very difficult to quantify them by parameter identification based on experimental reference data.

It will be shown how virtual reference data from microscopic computations can be used to determine the extended set of macroscopic material parameters for the linear Cosserat theory.

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Authors and Affiliations

  1. Applied Mechanics, Department of Materials Science and Engineering, Saarland University, Campus A4 2, 66123, Saarbrücken, Germany

    Stefan Diebels & Daniel Scharding

Authors
  1. Stefan Diebels
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  2. Daniel Scharding
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Editors and Affiliations

  1. Institute of Applied Mechanics (Civil Engineering) Chair of Continuum Mechanics, University of Stuttgart, Pfaffenwaldring 7, 70569, Stuttgart, Germany

    Bernd Markert

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Diebels, S., Scharding, D. (2011). From Lattice Models to Extended Continua. In: Markert, B. (eds) Advances in Extended and Multifield Theories for Continua. Lecture Notes in Applied and Computational Mechanics, vol 59. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22738-7_2

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  • DOI: https://doi.org/10.1007/978-3-642-22738-7_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-22737-0

  • Online ISBN: 978-3-642-22738-7

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