Yield design formulation for porous media subjected to flow, using approximate pressure field. Calcul à la rupture en présence d'un écoulement : formulation cinématique avec un champ de pression approché

Physics – Classical Physics

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Scientific paper

10.1016/j.crme.2006.01.009

Yield design formulation for porous media subjected to flow, using approximate pressure field. We attempt here to use the kinematic method of yield design in the case of a porous medium subjected to flow (with or without free surface), without looking for the exact solution of the pressure field. The method proposed here is based on the use of approximate pressure fields. In this paper, we show how, under different conditions concerning the yield criterion and the velocity field, the use of such approximate fields allows to obtain a necessary condition for stability without having to find the real pressure field. Nous cherchons ici \`a utiliser la m\'ethode cin\'ematique du calcul \`a la rupture dans le cas d'un milieu poreux soumis \`a un \'ecoulement avec ou sans surface libre sans conna\^itre la solution exacte du champ de pression. La m\'ethode propos\'ee ici repose sur l'utilisation de champs de pression approch\'es par d\'efaut. Nous montrerons comment sous certaines conditions portant sur le crit\`ere de r\'esistance et sur le champ de vitesse utilis\'e, l'utilisation de tels champs de pression approch\'es permet d'obtenir une condition n\'ecessaire de stabilit\'e sans avoir \`a d\'eterminer exactement l'\'ecoulement.

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