Reference : Implicit implementation of the Prevost model
Scientific congresses and symposiums : Paper published in a book
Engineering, computing & technology : Civil engineering
http://hdl.handle.net/2268/169495
Implicit implementation of the Prevost model
English
Cerfontaine, Benjamin mailto [Université de Liège - ULiège > Département ArGEnCo > Géomécanique et géologie de l'ingénieur >]
Charlier, Robert mailto [Université de Liège - ULiège > Département ArGEnCo > Géomécanique et géologie de l'ingénieur >]
2014
Numerical Methods in Geotechnical Engineering
Hicks, Michael A.
Brinkgreve, Ronald, R.J
Rohe, Alexander
CRC Press/Balkema
Yes
No
International
978-1-138-00146-6
Numerical Methods in Geotechnical Engineering (NUMGE2014)
du 17 juin 2014 au 20 juin 2014
Hicks, Michael A.
Brinkgreve, Ronald B.J.
Rohe, Alexander
Delft
Netherlands
[en] Geomechanics ; Constitutive modelling ; Implicit implementation
[en] The Prevost model for cohesionless soils (Prevost 1985) is currently used for the modelling of
their cyclic behaviour, especially in earthquake engineering (Zerfa and Loret 2003) and (Yang and Elgamal
2008). It’s made of conical yield surfaces that allow for plastic deformations in both loading and unloading. Its
non-associated volumetric flow rule can roughly take into account pore pressure build-up and cyclic mobility.
The method of implementation of a constitutive law is a crucial issue (Montáns and Caminero 2007) and
(Mira et al. 2009). On one hand the accuracy of the solution must be ensured, especially when a large number
of cycles are considered. But on the other hand, the cost of the computation must be minimized which implies
step size as large as possible.
In this paper, an implicit implementation of the Prevost model is proposed. The plastic flow rule is computed
through a trapezoidal rule, at the time step n + 1/2, in order to increase the accuracy.An iterative process has to be
solved, due to the implicit formulation.The Jacobian matrix of the internal Newton-Raphson process is computed
analytically to enhance efficiency. The algorithm is implemented in the finite element code LAGAMINE that
carries out fully-coupled analysis. Simulations of triaxial tests are compared with “exact” solution.
Fonds pour la formation à la Recherche dans l'Industrie et dans l'Agriculture (Communauté française de Belgique) - FRIA
Researchers
http://hdl.handle.net/2268/169495

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