Formulation of non-standard dissipative behavior of geomaterials View Full Text


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Article Info

DATE

2005-07

AUTHORS

Mohammed Hjiaj, Wenxiong Huang, Kristian KrabbenhØft, Scott W. Sloan

ABSTRACT

In this paper, fundamental mathematical concepts for modeling the dissipative behavior of geomaterials are recalled. These concepts are illustrated on two basic models and applied to derive a new form of the evolution law of the modified Cam-clay model. The aim is to discuss the mathematical structure of the constitutive relationships and its consequences on the structural level. It is recalled that non-differentiable potentials provide an appropriate means of modeling rate-independent behavior. The Cam-clay model is revisited and a standard version is presented. It is seen that this standard version is non-dissipative, which at the same time explains why a non-standard version is needed. The partial normality is exploited and an implicit variational formulation of the modified Cam-clay model is derived. As a result, the solution of boundary-value problems can be replaced by seeking stationary points of a functional. More... »

PAGES

147-165

References to SciGraph publications

  • 1998. Variational Analysis in NONE
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/bf02694035

    DOI

    http://dx.doi.org/10.1007/bf02694035

    DIMENSIONS

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