Encyclopedia of Continuum Mechanics

Editors: Holm Altenbach, Andreas Öchsner

Morphological Models

Living reference work entry
DOI: https://doi.org/10.1007/978-3-662-53605-6_70-1



Morphological models are probabilistic models of random media developed in mathematical morphology, identified from their morphological properties, and enabling the simulation and the prediction of the physical behavior of complex and multiscale media.


Real materials are intrinsically heterogeneous and therefore show more or less controlled fluctuations in their behavior. To deal with this fact, it is useful to pursue a probabilistic approach, which enables us to generate models and simulations of the microstructures. Realistic models are designed from the observation of microstructures and from identification by means of pertinent morphological data, as explained later. Once a relevant model is available to describe some heterogeneous medium, it can be used to predict its physical properties and their...

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Copyright information

© Springer-Verlag GmbH Germany 2018

Authors and Affiliations

  1. 1.Center for Mathematical Morphology, MINES ParistechPSL Research UniversityFontainebleauFrance

Section editors and affiliations

  • Martin Ostoja-Starzewski
    • 1
  1. 1.Department of Mechanical Science & Engineering, Institute for Condensed Matter Theory and Beckman InstituteUniversity of Illinois at Urbana–ChampaignUrbanaUSA