论文标题
通过辅助微观结构对薄膜中皱纹的弹性稳定
Elastic stabilisation of wrinkles in thin films by auxetic microstructure
论文作者
论文摘要
薄薄的弹性板和膜在拉伸时会皱纹 - 相关的物理是高度非线性的。薄膜的力学在延伸时表现出异常行为,当它们具有辅助结构时,即当它们明显的泊松比为负时,在这里呈现。现在,当张力张紧时,皱纹被抑制在大部分辅助膜中,而局部折痕仅限于夹具,而夹具则呈指数衰减。这些边缘皱纹的特征是它们的幅度和波长在实验,理论上和计算上的特征,这与预期趋势表现出了极好的一致性。使用基于运动性质不匹配的简单分析获得了膜性能和张力上振幅,波长和衰减速率的缩放率,这是由侧泊泊松膨胀引起的。
Thin elastic sheets and membranes are known to wrinkle when they are stretched -- the associated physics is highly non-linear. The mechanics of thin films that exhibit unusual behavior upon stretching, when they possess auxetic structure, i.e. when their apparent Poisson's ratio is negative, is presented here. Wrinkling is now suppressed within the bulk of auxetic films when tensioned, whereas localized creases confined to the clamps, that decay away exponentially, appear. These edge wrinkles are characterized for their amplitude and wavelength experimentally, theoretically, and computationally, which show excellent agreement with expected trends. The scaling for amplitude, wavelength and decay rate upon film properties and tension is obtained using simple analyses based on kinematic mismatch resulting from lateral Poisson's expansion.