Research Paper

Acta Geotechnica

, Volume 6, Issue 4, pp 219-229

A double slip non-coaxial flow rule for viscous-plastic Cosserat materials

  • Hans B. MühlhausAffiliated withSchool of Earth Sciences, The University of Queensland Email author 
  • , Jingyu ShiAffiliated withSchool of Earth Sciences, The University of Queensland
  • , Louise Olsen-KettleAffiliated withSchool of Earth Sciences, The University of Queensland
  • , Louis MoresiAffiliated withSchool of Geosciences, School of Mathematical Sciences, Monash University

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Abstract

We propose a double slip non-coaxial plastic model within the framework of a Cosserat continuum theory. In a Cosserat continuum, a material point possesses the degrees of freedom of an infinitesimal rigid body: two translations and one rotation in 2D. We formulate the plastic model into viscous-plastic constitutive relationships and illustrate the viscous-plastic behaviour of the model by means of numerical solution of a simple shear problem.

Keywords

Cosserat continuum Double slip Flow rule Non-coaxial