Analytical Solutions for the Lateral-Torsional Buckling of Serpentine Interconnects in Stretchable Electronics
Analytical Solutions for the Lateral-Torsional Buckling of Serpentine Interconnects in Stretchable Electronics
复制标题
可拉伸电子器件中蛇形互连的横向扭转屈曲的分析解决方案
DOI：
10.1115/1.4047003
复制
发表时间：
2020
影响因子：
2.6
通讯作者：
Xiangyu Li
中科院分区：
文献类型：
--
作者：
Peng Feng;Jianghong Yuan;Yin Huang;Xiangyu Li
作为岛桥布局的一个组成部分，可伸缩互连在机械载荷的作用下能够实现极大的可逆变形，因此广泛应用于新兴的可伸缩电子领域。本文分析了一个由五个点节点刚性连接的S形蛇形结构的弯扭屈曲。推导了蛇形结构无量纲临界屈曲载荷与纵横比之间的简单解析标度律，并将其统一表示为各种边界条件下的广义超几何级数，可作为数值模拟的基准。这些比例律，充分验证了有限元分析，可以很好地捕捉拉伸和压缩引起的屈曲，屈曲模式对端部条件的强烈依赖性之间的隐含连接，和单调/渐近性质的临界载荷相对于蛇形结构的纵横比。
Serpentine interconnects, as an integral part of island-bridge layouts, enable extremely large reversible deformation under the action of mechanical loads and are thus widely used in the emerging new field of stretchable electronics. In this paper, the lateral-torsional buckling is analytically studied for a simplified S-shaped serpentine structure that consists of five straight components rigidly connected at point joints. Simple analytic scaling laws between the dimensionless critical buckling load and the aspect ratio of the serpentine structure are newly derived and uniformly expressed in terms of generalized hypergeometric series for various types of boundary conditions, which can serve as the benchmark of numerical simulations. These scaling laws, fully verified by finite element analysis, may well capture the implied connection between stretching- and compression-induced buckling, the strong dependence of buckling modes on end conditions, and the monotonic/asymptotic properties of the critical load with respect to the aspect ratio of serpentine structures.