| 8 | A REMARK ON FORMAL MODELS FOR NONLINEARLY ELASTIC MEMBRANE SHELLS显示文摘This paper gives all the two-dimensional membrane models obtained from formal asymptotic analysis of the three-dimensional geometrically exact nonlinear model of a thin elastic shell made with a Saint Venant-Kirchhoff material. Therefore, the other models can be quoted as flexural nonlinear ones. The author also gives the formal equations solved by the associated stress tensor and points out that only one of those models leads, by linearization, to the 'classical' linear limiting membrane model, whose justification has already been established by a convergence theorem. | C. COLLARD Laboratoire d’Analyse Numerique, Tour n°55, Universite Pierre et Marie Curie, 4, place Jussieu, 75005 Paris, France. Laboratoire de Mathematiques Appliquees au Calcul Scientifique, Universite de Valenciennes et du Hainaut-Cambresis, Le Mont H | 2001 | Chinese Annals of Mathematics,Series B2001，22，3： | 0 |
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