Journal of Engineering Mathematics

, Volume 52, Issue 1–3, pp 231–250 | Cite as

Some fundamental aspects of the continuumization problem in granular media

  • John F. Peters
Article
Received:
Accepted:

Abstract

The central problem of devising mathematical models of granular materials is how to define a granular medium as a continuum. This paper outlines the elements of a theory that could be incorporated in discrete models such as the Discrete-Element Method, without recourse to a continuum description. It is shown that familiar concepts from continuum mechanics such as stress and strain can be defined for interacting discrete quantities. Established concepts for constitutive equations can likewise be applied to discrete quantities. The key problem is how to define the constitutive response in terms of truncated strain measures that are a practical necessity for analysis of large granular systems.

Key words

continuum mechanics granular media homogenization stress 
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Copyright information

© Springer 2005

Authors and Affiliations

  • John F. Peters
    • 1
  1. 1.Geotechnical and Structures LaboratoryU.S. Army Engineer Research and Development CenterVicksburgUSA

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