Hydromechanical modelling of an initial boundary value problem: Studies of non-uniqueness with a second gradient continuum

F Marinelli (1) , Y. Sieffert (1, 2) , R. Chambon (1, 3)

1 3SR - Laboratoire sols, solides, structures - risques [Grenoble]
2 RV - Risques, Vulnérabilité des structures et comportement mécanique des matériaux
3 GéoMécanique

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.

Domaines: Génie civil; Structures

F Marinelli, Y. Sieffert, R. Chambon. Hydromechanical modelling of an initial boundary value problem: Studies of non-uniqueness with a second gradient continuum. Springer International Publishing Switzerland 2015, May 2014, Hong Kong, China. ⟨hal-02004541⟩