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Variational Formulation of the Cam-Clay Model

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IUTAM Symposium on Theoretical, Computational and Modelling Aspects of Inelastic Media

Part of the book series: IUTAM BookSeries ((IUTAMBOOK,volume 11))

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Abstract

In this paper, fundamental mathematical concepts for modelling the dissipative behavior of geomaterials are recalled. These concepts are used to revisit the Cam-clay model. A standard version of the model is first discussed. Regarding the non-standard form of the model, 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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Author information

Authors and Affiliations

  1. INSA de Rennes – LGCGM / Structural Engineering Research Group, 20 avenue des Buttes de Coësmes, 35043, Rennes Cedex, France

    Mohammed Hjiaj

  2. Laboratoire de Mécanique de Lille – UMR 8107, Boulevard Paul Langevin, 59655, Villeneuve d’Ascq Cédex, France

    Géry de Saxcé

Authors
  1. Mohammed Hjiaj
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  2. Géry de Saxcé
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Editor information

Editors and Affiliations

  1. Centre for Research in Computational and Applied Mechanics, University of Cape Town, 7701, Rondebosch, South Africa

    B. Daya Reddy

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Hjiaj, M., de Saxcé, G. (2008). Variational Formulation of the Cam-Clay Model. In: Reddy, B.D. (eds) IUTAM Symposium on Theoretical, Computational and Modelling Aspects of Inelastic Media. IUTAM BookSeries, vol 11. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-9090-5_15

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  • DOI: https://doi.org/10.1007/978-1-4020-9090-5_15

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-9089-9

  • Online ISBN: 978-1-4020-9090-5

  • eBook Packages: EngineeringEngineering (R0)

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