Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.13/25043

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Title
Formulation of non-standard dissipative behavior of geomaterials
Author/Creator
Hjiaj, Mohammed;  Huang, Wenxiong;  Krabbenhoft, Kristian;  Sloan, Scott William
Description
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.
Relation
Journal of Engineering Mathematics Vol. 52, no. 1, p. 147-165
Date
2005
Publisher
Kluwer Academic
Keyword(s)
convex analysis;  Fenchel transform;  internal variables;  modified;  Cam-clay model;  variational inequality
Resource Type
journal article
Identifier
http://hdl.handle.net/1959.13/25043
Identifier
ISSN:0022-0833
Language
eng
Reviewed
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Subject
"Journal of Engineering Mathematics"
 
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