Asymptotic Behavior of a Structure Made by a Plate and a Straight Rod

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
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Authors:

Dominique BLANCHARD; Georges GRISO;
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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