论文标题
磁盘在重力下皱纹
Disk wrinkling under gravity
论文作者
论文摘要
我们研究沉积在刚性支撑上的圆形弹性盘的重力。轴对称偏转会诱导压缩矫形应力，从而导致无量纲重力力的临界阈值高出皱纹的不稳定性。我们通过实验，数值模拟和分析工具的结合，特别关注几何作用，研究这种不稳定。我们表明，纵横比是控制不稳定性阈值和最不稳定模式的关键参数。可以通过引入横向负载的新的非量化化来捕获该参数对阈值的影响。
We study the deflection by gravity of a circular elastic disk deposited on a rigid support. The axisymmetric deflection induces a compressive orthoradial stresses which leads to a wrinkling instability above a critical threshold of the dimensionless gravity force. We study this instability by a combination of experiments, numerical simulations and analytical tools, with a particular focus on the role of geometry. We show that aspect ratio is a crucial parameter that controls both the threshold of instability and the most unstable mode. The influence of this parameter on the threshold can be catched by introducing a new nondimensionalization of the transverse load.
