Research ArticleOpen accessPhrase in the titleA Study of Naghdi's Shell with a Unilateral Contact of a Rigid ObstacleTaallah Frekh, Nouri Fatma-ZohraProblem statement: In this study we considered a shell modeled by Naghdi’s equations with a unilateral contact of a rigid body. Approach: This model has been studied by Blouza and Le Dret (1994b) but without contact. Results: In this study, we studied the existence, uniqueness and continuity of the deformation of this shell with respect to the data. Conclusion: We … …Journal of Mathematics and Statistics, Vol. 6, Issue 3 · 30 Sep 2010 · 7,750 accessesView PDFCite
Research ArticleOpen accessIn the keywordsEXISTENCE OF SOLUTIONS FOR A CLASS OF VARIATIONAL INEQUALITIESTaallah FrekhIn this study we considered a deformed elastic solid with a unilateral contact of a rigid body. We studied the existence, uniqueness and continuity of the deformation of this solid with respect to the data. We proved the existence of solutions for a class of variational inequalities. …Journal of Mathematics and Statistics, Vol. 9, Issue 4 · 9 Oct 2013 · 6,497 accessesView PDFCite
Research ArticleOpen accessIn the keywordsMixed Formulation for a Signorini ProblemTedjani Hadj Ammar, Benabderrahmane BenyattouProblem statement: This study deals with the study of a Signorini Problem (SP) of unilateral contact between two a linear or non linear elastic bodies. Approach: We present two variational formulations noted P1, P2, of the considered problem, where P1 depends on the displacement field and P2 depends on the stress field. In the linear case, under assumptions, then the … …Journal of Mathematics and Statistics, Vol. 8, Issue 2 · 23 Apr 2012 · 7,224 accessesView PDFCite
Research ArticleOpen accessIn the abstractFinite Element Analysis of Frictional Contact Problem During the Process of Metal WorkingNicolae PopThe quasistatic contact problem with dry friction, contributes to the achievement of a numerical model for the simultaneity of different kinds of viscoplastic, incompressible materials forming. Starting from a variational formulation of the problem, which extends the static case, a perturbed Lagrangean, discrete formulation within the framework of finite element method is obtained. On the contact boundary we have used … …American Journal of Applied Sciences, Vol. 5, Issue 2 · 28 Feb 2008 · 7,293 accessesView PDFCite