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| A REMARK ON FORMAL MODELS FOR NONLINEARLY ELASTIC MEMBRANE SHELLS |
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Citation： |
C. COLLARD.A REMARK ON FORMAL MODELS FOR NONLINEARLY ELASTIC MEMBRANE SHELLS[J].Chinese Annals of Mathematics B,2001,22(3):307~324 |
| Page view： 1137
Net amount： 790 |
Authors： |
C. COLLARD; |
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| Abstract： |
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. |
Keywords： |
Nonlinear elastic shell, Convergence theorem, Asymptotic analysis |
Classification： |
73C50, 35L70 |
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