Frictional Plasticity in a Convex Analytical Setting
Houlsby, Guy T.1
1 Department of Engineering Science, University of Oxford, Parks Road, Oxford, OX1 3PJ United Kingdom
Open Geomechanics, Volume 1 (2019), article no. 3, 10 p.

A very simple frictional plasticity model for a granular material is presented, including the effects of dilation. The novelty lies in the fact that this is described within the hyperplasticity framework, expressed using the terminology of convex analysis. This allows a consistent mathematical treatment of the dilation constraint. The Fenchel Dual is used to link the force and flow potentials. The resulting model accommodates non-associated flow within a rigorous mathematical framework that ensures compliance with the Laws of Thermodynamics.

Received:
Accepted:
Published online:
DOI: 10.5802/ogeo.2
Keywords: Convex analysis, friction, dilation, plasticity
Houlsby, Guy T. 1

1 Department of Engineering Science, University of Oxford, Parks Road, Oxford, OX1 3PJ United Kingdom
License: CC-BY-NC-SA 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights 
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Houlsby, Guy T. Frictional Plasticity in a Convex Analytical Setting. Open Geomechanics, Volume 1 (2019), article  no. 3, 10 p. doi : 10.5802/ogeo.2. https://opengeomechanics.centre-mersenne.org/articles/10.5802/ogeo.2/

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