Hydromechanical Modelling of an Initial Boundary Value Problem: Studies of Non-uniqueness with a Second Gradient Continuum

  • F. MarinelliEmail author
  • Y. Sieffert
  • R. Chambon
Conference paper
Part of the Springer Series in Geomechanics and Geoengineering book series (SSGG)


A non-uniqueness study for a hydromechanical boundary value problem is performed. A fully saturated porous medium is considered using an elasto-plastic constitutive equations to describe the mechanical behavior of the skeleton. A real hydromechanical experiment which consists in a hollow cylinder test on a Boom Clay sample is modelled. It is shown that the time step discretisation of the numerical problem has an effect on the initialisation of the Newton-Raphson algorithm on a given time step. Different solutions for the same initial boundary value problem can consequently be found.


Shear Band Hollow Cylinder Initial Boundary Gradient Model Return Mapping Algorithm 
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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Laboratoire 3S-R, UJF, G-INP, CNRSGrenoble Université Joseph FourierGrenoble CedexFrance

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