Asymptotic behavior of a structure made by a plate and a straight rod

作者:Blanchard Dominique; Griso Georges
来源:Chinese Annals of Mathematics Series B, 2013, 34(3): 399-434.
DOI:10.1007/s11401-013-0771-2

摘要

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-Karman%26apos;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.

  • 出版日期2013-5