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Formulation of non-standard dissipative behavior of geomaterials

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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.

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Authors and Affiliations

  1. Department of Civil, Surveying and Environmental Engineering, The University of Newcastle, 2308, NSW, Australia

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

Authors
  1. Mohammed Hjiaj
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  2. Wenxiong Huang
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  3. Kristian KrabbenhØft
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  4. Scott W. Sloan
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Correspondence to Mohammed Hjiaj.

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Hjiaj, M., Huang, W., KrabbenhØft, K. et al. Formulation of non-standard dissipative behavior of geomaterials. J Eng Math 52, 147–165 (2005). https://doi.org/10.1007/BF02694035

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  • DOI: https://doi.org/10.1007/BF02694035

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