finite element; Lagrange multipliers; second gradient models; localization; post localization; poromechanics; hydromechanics
Abstract :
[en] In this paper, a new finite element method is described and applied. It is based on a theory developed to model poromechanical problems where the mechanical part is obeying a second gradient theory. The aim of such a work is to properly model the post localized behaviour of soils and rocks saturated with a pore fluid. Beside the development of this new Coupled theory, a corresponding finite element method has been developed. The elements used are based on a weak form of the relation between the deformation gradient and the second gradient, using a field of Lagrange multipliers. The global problem is solved by a system of equations where the kinematic variables are fully coupled with the pore pressure. Some numerical experiments showing the effectiveness of the method ends the paper. Copyright (c) 2005 John Wiley
Disciplines :
Civil engineering
Author, co-author :
Collin, Frédéric ; Université de Liège - ULiège > Département Argenco : Secteur GEO3 > Géomécanique et géologie de l'ingénieur
Chambon, René; Université Joseph Fourier de Grenoble > Laboratoires 3S-R
Charlier, Robert ; Université de Liège - ULiège > Département Argenco : Secteur GEO3 > Géomécanique et Géologie de l'Ingénieur
Language :
English
Title :
A finite element method for poro mechanical modelling of geotechnical problems using local second gradient models
Publication date :
2006
Journal title :
International Journal for Numerical Methods in Engineering
ISSN :
0029-5981
eISSN :
1097-0207
Publisher :
John Wiley & Sons Ltd, Chichester, United Kingdom
Volume :
65
Issue :
11
Pages :
1749-1772
Peer reviewed :
Peer Reviewed verified by ORBi
Funders :
F.R.S.-FNRS - Fonds de la Recherche Scientifique [BE]
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