Encyclopedia of Continuum Mechanics

Living Edition
| Editors: Holm Altenbach, Andreas Öchsner

Frameworks for Material Modeling

  • Rainer Glüge
Living reference work entry
DOI: https://doi.org/10.1007/978-3-662-53605-6_263-1

Synonyms

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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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Universität MagdeburgMagdeburgGermany

Section editors and affiliations

  • Rainer Glüge
    • 1
  1. 1.Universität MagdeburgMagdeburgGermany