Scaling Instability in Buckling of Axially Compressed Cylindrical Shells
Scaling Instability in Buckling of Axially Compressed Cylindrical Shells
复制标题
轴向受压圆柱壳屈曲的尺度不稳定性
DOI：
10.1007/s00332-015-9270-9
复制
发表时间：
2014
影响因子：
3
通讯作者：
D. Harutyunyan
中科院分区：
文献类型：
--
作者：
Y. Grabovsky;D. Harutyunyan
在本文中，我们继续发展的数学严格的理论“近翻转”屈曲的任意几何形状的细长机构，超弹性的基础上。为了展示这一理论的能力，我们将其应用到轴向压缩圆柱壳的屈曲。该理论证实了屈曲载荷的经典公式，即完美结构在与壳体厚度的一次幂成比例的应力下屈曲。然而，在负载的缺陷的情况下，理论预测的屈曲应力的缩放不稳定性。根据载荷缺陷的类型，屈曲可能发生在与厚度的1.5或1.25次方成比例的应力下，分别对应于历史积累的实验数据的下端和上端。
In this paper, we continue the development of mathematically rigorous theory of “near-flip” buckling of slender bodies of arbitrary geometry, based on hyperelasticity. In order to showcase the capabilities of this theory, we apply it to buckling of axially compressed circular cylindrical shells. The theory confirms the classical formula for the buckling load, whereby the perfect structure buckles at the stress that scales as the first power of shell’s thickness. However, in the case of imperfections of load, the theory predicts scaling instability of the buckling stress. Depending on the type of load imperfections, buckling may occur at stresses that scale as thickness to the power 1.5 or 1.25, corresponding to the lower and upper ends, respectively, of the historically accumulated experimental data.