Asymptotic modelling of a Signorini problem of generalized Marguerre-von Kármán shallow shells

References

• Paumier , JC . 2002 . Le problème de Signorini dans la Théorie des plaques minces de Kirchhoff–Love . C. R. Acad. Sci. Paris, Ser. I , 335 : 567 – 570 .
   Web of Science ®Google Scholar
• Léger , A and Miara , B . 2008 . Mathematical justification of the obstacle problem in the case of a shallow shell . J. Elasticity , 90 : 241 – 257 .
   Web of Science ®Google Scholar
• Léger , A and Miara , B . 2011 . The obstacle problem for shallow shells: curvilinear approach . Int. J. Numer. Anal. Modeling, Ser. B , 2 ( 1 ) : 1 – 26 .
   Google Scholar
• Ben Belgacem , F , Bernardi , C , Belouza , A and Taallah , F . 2011 . On the obstacle problem for a Naghdi shell . J. Elasticity , 103 : 1 – 13 .
   Web of Science ®Google Scholar
• Chacha , DA and Bensayah , A . 2008 . Asymptotic modeling of a Coulomb frictional Signorini problem for the von Kármán plates . C. R. Mécanique , 336 : 846 – 850 .
   Web of Science ®Google Scholar
• Ciarlet , PG and Paumier , JC . 1986 . A justification of the Marguerre-von Kármán equations . Comput. Mech. , 1 : 177 – 202 .
   Google Scholar
• Ciarlet , PG and Gratie , L . 2001 . Generalized von Kármán equations . J. Math. Pures Appl. , 80 ( 3 ) : 263 – 279 .
   Web of Science ®Google Scholar
• Ciarlet , PG , Gratie , L and Sabu , N . 2001 . An existence theorem for generalized von Karman equations . J. Elasticity , 62 : 239 – 248 .
   Web of Science ®Google Scholar
• Gratie , L . 2002 . Generalized Marguerre-von Kármán equations for nonlinearly elastic shallow shell . Applicable Anal. , 81 : 1107 – 1126 .
   Google Scholar
• Ciarlet , PG and Gratie , L . 2006 . On the existence of solutions to the generalized von Kármán equations . Math. Mech. Solids , 11 : 83 – 100 .
   Web of Science ®Google Scholar
• Ciarlet , PG and Gratie , L . 2006 . From the classical to the generalized von Kármán and Marguerre-von Kármán equations . J. Comput. Appl. Math. , 190 : 470 – 486 .
   Web of Science ®Google Scholar
• Ciarlet , PG . 1997 . “ Mathematical Elasticity ” . In Theory of Plates , Vol. II , Amsterdam : North-Holland .
   Google Scholar
• Schwartz , L . 1966 . Théorie des Distributions , Paris : Hermann .
   Google Scholar