Continuum Models

OTM : Georg Schmitz (OTM)


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Continuum models (CM) are a wide category based on the continuum hypothesis being adapted to describe the macroscopic behaviour. The length and time scales of CM are larger than the typical scales of electronic, atomistic and mesoscopic models (discrete models). Materials continuum models can also deal with peridynamics, deformations with discontinuities, especially fractures when applied to continuum scales. CM can be applied to describe physical phenomena in different fields: solid mechanics, fluid mechanics, heat flow, continuum thermodynamics, chemical reaction and diffusion, microstructure evolution, electromagnetism, materials manufacturing processes and materials behavior in devices.

CM cover a plethora of applications in all the fields of the engineering, natural sciences, biomedical sciences, material science etc. On the other hand, these models are not yet used to their full potential, some of the most important reasons are:

  1. the possible users have no an adequate knowledge of continuum models possibility;
  2. often it is very hard or expansive to obtain the continuum models parameters (particularly, appropriate materials characterizations);
  3. the experimental validations can be very hard or expansive.


The objectives of the Continuum Models working group is to enlarge the use of the existing continuum models and promote their development as well as the elaboration/promotion of new CM where applicable. Integration of discrete models with continuum models will be promoted and awareness campaigns for industries will be undertaken. To encourage the publication of materials characterization and experimental findings that can be used as reference to validate CM.

The Full Charter of the WG is available as a pdf document here.

Copyright © 2017. The European Materials Modelling Council.