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Frameworks for Material Modeling

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Encyclopedia of Continuum Mechanics

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Synonyms

Elasticity; Plasticity; Reduced forms; Viscosity

Definition

Frameworks for material modeling set the limits within which different material phenomena like elasticity, plasticity, and viscosity are modeled.

Classification of Material Models

After establishing a universal framework for material modeling based on general principles, a classification of materials with respect to the material phenomena that occur is reasonable.

Any textbook on material modeling somehow classifies material models, however the works of Noll (1972) and Krawietz (1986) provide the most systematic approaches. Krawietz (1986) regards phenomenological material modeling by defining process classes and output functionals. The output functional is the material model, which assigns a dependent variable (stresses and forces) to the independent, process-controlled variable (strains and displacements).

We have already established the use of a finite-dimensional material state variable Z (see section “Principles...

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Author information

Authors and Affiliations

  1. Universität Magdeburg, Magdeburg, Germany

    Rainer Glüge

Authors
  1. Rainer Glüge
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Corresponding author

Correspondence to Rainer Glüge .

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, QLD, Australia

    Andreas Öchsner

Section Editor information

  1. Universität Magdeburg, Magdeburg, Germany

    Rainer Glüge

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Glüge, R. (2019). Frameworks for Material Modeling. In: Altenbach, H., Öchsner, A. (eds) Encyclopedia of Continuum Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-53605-6_263-1

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  • DOI: https://doi.org/10.1007/978-3-662-53605-6_263-1

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-53605-6

  • Online ISBN: 978-3-662-53605-6

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