论文标题
弹性毛细管颈部的一维模型
A one-dimensional model for elasto-capillary necking
论文作者
论文摘要
我们得出了一个非线性一维应变梯度模型，该模型预测了由表面张力驱动的软弹性缸的颈部，从3D有限型 - 应变弹性开始。它渐近地正确：微观位移是通过能量方法鉴定的。当表面张力增加时，1D模型可以预测3D弹性问题溶液中发生的分叉，从而导致类似于相分离的定位现象。与有限元模拟的比较表明，1D模型可以准确地分离两个阶段的界面，包括良好的局部状态，并且与迄今为止提出的一维模型相比，它具有更大的有效性域。
We derive a non-linear one-dimensional (1d) strain gradient model predicting the necking of soft elastic cylinders driven by surface tension, starting from 3d finite-strain elasticity. It is asymptotically correct: the microscopic displacement is identified by an energy method. The 1d model can predict the bifurcations occurring in the solutions of the 3d elasticity problem when the surface tension is increased, leading to a localization phenomenon akin to phase separation. Comparisons with finite-element simulations reveal that the 1d model resolves the interface separating two phases accurately, including well into the localized regime, and that it has a vastly larger domain of validity than 1d model proposed so far.
