论文标题
在弹性板下面的粘塑料水泡的生长
Growth of a viscoplastic blister underneath an elastic sheet
论文作者
论文摘要
受地质结构形成的启发,我们研究了岩浆侵入的地壳变形,我们研究了弹性泡片下粘膜泡沫的弹性流体动力学生长。通过结合实验,缩放分析和数值模拟,我们揭示了一个新的制度,以增长水泡高度$ \ sim t^{5/9} $和半径$ \ sim t^{2/9} $。水泡内部的插头像流动性的动力一样,而水泡则采用了准静态的自相似形状,该形状由弹性板的弯曲和流体的屈服应力引起的压力梯度的平衡给出。
Inspired by the formation of geological structures as earth's crust deforms by magmatic intrusions, we investigate the elastohydrodynamic growth of a viscoplastic blister under an elastic sheet. By combining experiments, scaling analysis and numerical simulations we reveal a new regime for the growth of the blister's height $\sim t^{5/9}$ and radius $\sim t^{2/9}$. A plug like flow inside the blister dictates its dynamics, whereas the blister takes a quasi-static self-similar shape given by a balance in the pressure gradient induced by bending of the elastic sheet and the fluid's yield stress.