Calcul à la rupture en présence d'un écoulement à surface libre : construction de champs de pression approchés

详细信息    查看全文

• 作者：Alain Corfdir
• 关键词：Porous media ; Yield design ; Limit analysis ; Free boundary ; Flow ; Upper bound
• 刊名：Comptes Rendus Mecanique
• 出版年：2006
• 出版时间：March 2006
• 年：2006
• 卷：334
• 期：3
• 页码：183-189
• 全文大小：224 K

文摘

We consider the stability of a porous medium submitted to a steady-state flow with free-boundary. Assuming some hypotheses, it is possible to implement the kinematic method by using an approximate pressure field bounding the true pressure field from below. We are interested in finding such approximate pressure fields and in proving that they bound the true pressure field from below without knowing the true pressure field. We use fields which are solutions of a problem with relaxed conditions with regard to the real problem. Under a uniqueness condition of the solution of a weak formulation of the problem, such fields are lower bounds for the true pressure field. Finally, we give the example of a vertical dam. To cite this article: A. Corfdir, C. R. Mecanique 334 (2006).