板-直杆结构的渐近行为
Asymptotic behavior of a structure made by a plate and a straight rod
摘要：
本文在非线性弹性理论框架下讨论了薄板-细杆结构的渐近行为。我们以这样一种方式缩放所施加的力，即总弹性能量的水平导致板中的Von-Kármán方程（或较小力的线性模型）和极限处的一维杆模型。连接条件特别包括连接处板的弯曲和杆的拉伸的连续性。
英文摘要：
This paper is devoted to describe the asymptotic behavior of a structure made by a thin plate and a thin rod in the framework of nonlinear elasticity. We scale the applied forces in such a way that the level of the total elastic energy leads to the Von-Kármán'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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
