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| Asymptotic Behavior of a Structure Made by a Plate and a Straight Rod |
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Citation： |
Dominique BLANCHARD,Georges GRISO.Asymptotic Behavior of a Structure Made by a Plate and a Straight Rod[J].Chinese Annals of Mathematics B,2013,34(3):399~434 |
| Page view： 3455
Net amount： 2367 |
Authors： |
Dominique BLANCHARD; Georges GRISO; |
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| Abstract： |
This paper is devoted to describing the asymptotic behavior of a structure made by a thin plate and a thin perpendicular rod in the framework of nonlinear elasticity. The authors scale the applied forces in such a way that the level of the total elastic energy leads to the Von-K′arm′an’s equations (or the linear model for smaller forces) in the plate and to a one-dimensional rod-model at the limit. The junction conditions include in particular the continuity of the bending in the plate and the stretching in the rod at the junction. |
Keywords： |
Nonlinear elasticity, Junction, Straight rod, Plate |
Classification： |
74B20, 74K10, 74K30 |
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