On the Obstacle Problem for a Naghdi Shell

被引:4
|
作者
Ben Belgacem, Faker [5 ]
Bernardi, Christine [1 ,2 ]
Blouza, Adel [3 ]
Taallah, Frekh [4 ]
机构
[1] CNRS, Lab Jacques Louis Lions, F-75252 Paris, France
[2] Univ Paris 06, F-75252 Paris, France
[3] Univ Rouen, Lab Math Raphael Salem, UMR 6085, CNRS, F-76801 St Etienne, Rouvray, France
[4] Univ Badji Mokhtar, Fac Sci, Dept Math, Annaba 23000, Algeria
[5] Univ Technol Compiegne, Ctr Rech Royallieu, F-60205 Compiegne, France
关键词
Naghdi shell model; Contact problem; Variational inequalities; VARIATIONAL-INEQUALITIES; EXISTENCE; MODEL; REGULARITY; UNIQUENESS;
D O I
10.1007/s10659-010-9269-2
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Starting with the Naghdi model for a shell in Cartesian coordinates, we derive a model for the contact of this shell with a rigid body. We also prove the well-posedness of the resulting system of variational inequalities.
引用
收藏
页码:1 / 13
页数:13
相关论文
共 50 条
  • [1] On the Obstacle Problem for a Naghdi Shell
    Faker Ben Belgacem
    Christine Bernardi
    Adel Blouza
    Frekh Taallah
    Journal of Elasticity, 2011, 103 : 1 - 13
  • [2] On the finite element approximation of the obstacle problem of a Naghdi shell
    Khenfar, Sokina
    Nicaise, Serge
    Merabet, Ismail
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2024, 441
  • [3] Stability in the obstacle problem for a shallow shell
    Leger, Alain
    Miara, Bernadette
    ANALYSIS AND APPLICATIONS, 2016, 14 (02) : 207 - 231
  • [4] Justifying obstacle problem in case of shallow shell
    Leger, Alain
    Miara, Bernadette
    PROCEEDINGS OF THE 5TH INTERNATIONAL CONFERENCE ON NONLINEAR MECHANICS, 2007, : 445 - 446
  • [5] Mathematical Justification of the Obstacle Problem in the Case of a Shallow Shell
    Alain Léger
    Bernadette Miara
    Journal of Elasticity, 2008, 90 : 241 - 257
  • [6] Mathematical justification of the obstacle problem for a piezoelectric shallow shell
    Yan, Guan
    Miara, Bernadette
    ASYMPTOTIC ANALYSIS, 2017, 102 (1-2) : 71 - 97
  • [7] Mathematical justification of the obstacle problem in the case of a shallow shell
    Leger, Alain
    Miara, Bernadette
    JOURNAL OF ELASTICITY, 2008, 90 (03) : 241 - 257
  • [8] Spectral discretization of a Naghdi shell model
    Bernard, Christine
    Blouza, Adel
    SIAM JOURNAL ON NUMERICAL ANALYSIS, 2007, 45 (06) : 2653 - 2670
  • [9] Numerical stability for a dynamic Naghdi shell
    Ferchichi, Hanen
    Aouadi, Saloua Mani
    APPLIED MATHEMATICS AND COMPUTATION, 2010, 216 (09) : 2483 - 2506
  • [10] A justification of Naghdi's shell model
    Lods, V
    Mardare, C
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1999, 328 (10): : 951 - 954