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Micromorphic Approach to Materials with Internal Length

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Encyclopedia of Continuum Mechanics

Synonyms

Continua with microstructure; Generalized continua; Higher order continua; Micromorphic approach to gradient elasticity; Micromorphic media; Plasticity and damage

Definitions

Micromorphic media are three-dimensional continua made of material points endowed with usual translational degrees of freedom and additional kinematical degrees of freedom accounting for the rotation and distortion of a triad of directors. The directors are related to an underlying microstructure (lattice directions in a crystal, fiber directions in a composite materials, etc.). Their transformation is represented by a generally noncompatible field of second rank generally nonsymmetric microdeformation tensors. More generally, the micromorphic approach consists in enriching the kinematics of the material point by additional degrees of freedom related to plastic strain, damage, or phase field variables. An essential feature of such theories is that the gradient of the micromorphic variable enters the...

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Authors and Affiliations

  1. Centre des Matériaux, Mines ParisTech CNRS, Evry, France

    Samuel Forest

Authors
  1. Samuel Forest
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Correspondence to Samuel Forest .

Editor information

Editors and Affiliations

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

    Holm Altenbach

  2. Griffith University (Gold Coast Campus), Griffith School of Engineering Griffith University (Gold Coast Campus), Southport, Queensland, Australia

    Andreas Öchsner

Section Editor information

  1. Centre des Matériaux UMR 7633, Mines ParisTech CNRS, Evry Cedex, France

    Samuel Forest

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Forest, S. (2018). Micromorphic Approach to Materials with Internal Length. In: Altenbach, H., Öchsner, A. (eds) Encyclopedia of Continuum Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-53605-6_150-1

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  • DOI: https://doi.org/10.1007/978-3-662-53605-6_150-1

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  • Print ISBN: 978-3-662-53605-6

  • Online ISBN: 978-3-662-53605-6

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