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Implicit implementation of the Prevost model
Cerfontaine, Benjamin; Charlier, Robert
2014In Hicks, Michael A.; Brinkgreve, Ronald, R.J; Rohe, Alexander (Eds.) Numerical Methods in Geotechnical Engineering
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Keywords :
Geomechanics; Constitutive modelling; Implicit implementation
Abstract :
[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.
Disciplines :
Civil engineering
Author, co-author :
Cerfontaine, Benjamin ;  Université de Liège - ULiège > Département ArGEnCo > Géomécanique et géologie de l'ingénieur
Charlier, Robert ;  Université de Liège - ULiège > Département ArGEnCo > Géomécanique et géologie de l'ingénieur
Language :
English
Title :
Implicit implementation of the Prevost model
Publication date :
2014
Event name :
Numerical Methods in Geotechnical Engineering (NUMGE2014)
Event organizer :
Hicks, Michael A.
Brinkgreve, Ronald B.J.
Rohe, Alexander
Event place :
Delft, Netherlands
Event date :
du 17 juin 2014 au 20 juin 2014
Audience :
International
Main work title :
Numerical Methods in Geotechnical Engineering
Editor :
Hicks, Michael A.
Brinkgreve, Ronald, R.J
Rohe, Alexander
Publisher :
CRC Press/Balkema
ISBN/EAN :
978-1-138-00146-6
Peer reviewed :
Peer reviewed
Funders :
FRIA - Fonds pour la Formation à la Recherche dans l'Industrie et dans l'Agriculture [BE]
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since 23 June 2014

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