Encyclopedia of Continuum Mechanics

Living Edition
| Editors: Holm Altenbach, Andreas Öchsner

Computational Methods for Coupled Problems

  • Luciano SimoniEmail author
  • Bernhard A. Schrefler
Living reference work entry
DOI: https://doi.org/10.1007/978-3-662-53605-6_23-1



Real materials very often appear as a mixture or a porous medium consisting of a solid matrix saturated by one or more fluid phases. Classical continuum mechanics can represent (but not always) their behaviors only by using very “ad hoc” phenomenological relationships. A more efficient modeling approach is to introduce balance equations for each component, that are usually smeared or “averaged” over the entire volume of the body. These equations contain also terms representing the physical (and/or chemical) interactions between the material components. The following definitions may be proposed (Markert, 2013):
  1. (1)

    coupled problem: is a problem in which physically or computationally heterogeneous components interact dynamically. The interaction is multi-way in the sense that the solution must be obtained by a simultaneous analysis of the coupled equations which model the problem;

  2. (2)

    coupled multi-field problem: is a...

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Copyright information

© Springer-Verlag GmbH Germany 2018

Authors and Affiliations

  1. 1.Department of Civil, Environmental and Architectural EngineeringUniversity of PadovaPadovaItaly

Section editors and affiliations

  • René de Borst
    • 1
  1. 1.University of SheffieldSheffieldUK