Department of Mathematics, University of Wisconsin, Madison, Madison, USA.
Soft Matter. 2017 Feb 7;13(5):1056-1062. doi: 10.1039/c6sm02102f. Epub 2017 Jan 13.
Wrinkling of thin films and membranes can occur due to various mechanisms such as growth and/or mismatch between the mechanical properties of the film and substrate. However, the physical origins of dynamic wrinkling in soft membranes are still not fully understood. Here we use milk skin as a tractable experimental system to investigate the physics of wrinkle formation in a thin, poroelastic film. Upon heating milk, a micron-thick hydrogel of denatured proteins and fat globules forms at the air-water interface. Over time, we observe an increase in the total length of wrinkles. By confocal imaging and profilometry, we determine that the composition and thickness of the milk skin appears to be homogeneous over the length scale of the wrinkles, excluding differences in milk skin composition as a major contributor to wrinkling. To explain the physical origins of wrinkle growth, we describe theory that considers the milk skin as a thin, poroelastic film where pressure is generated by the evaporative-driven flow of solvent across the film; this imparts in-plane stresses in the milk skin, which cause wrinkling. Viscous effects can explain the time-dependent growth of wrinkles. Our theoretical predictions of the effects of relative humidity on the total length of wrinkles over time are consistent with our experimental results. Our findings provide insight into the physics of the common phenomenon of milk skin wrinkling, and identify hydration gradients as another physical mechanism that can drive morphological instabilities in soft matter.
薄膜和膜的起皱可能由于各种机制引起,例如薄膜和基底的机械性能之间的生长和/或不匹配。然而,软膜中动态起皱的物理起源仍未完全理解。在这里,我们使用牛奶皮作为一种易于处理的实验系统来研究薄的多孔弹性膜中皱纹形成的物理。在加热牛奶时,在气水界面上形成一层由变性蛋白质和脂肪球组成的微米厚的水凝胶。随着时间的推移,我们观察到皱纹总长度的增加。通过共聚焦成像和轮廓术,我们确定牛奶皮的组成和厚度在皱纹的长度范围内似乎是均匀的,排除了牛奶皮组成的差异是起皱的主要原因。为了解释皱纹生长的物理起源,我们描述了一种理论,该理论将牛奶皮视为一种薄的多孔弹性膜,其中压力是由溶剂在膜上的蒸发驱动流动产生的;这在牛奶皮中产生面内应力,导致起皱。粘性效应可以解释皱纹随时间的增长。我们关于相对湿度对随时间变化的皱纹总长度的理论预测与我们的实验结果一致。我们的发现为牛奶皮起皱这一常见现象的物理提供了深入的了解,并确定水合梯度是软物质中另一种可以驱动形态不稳定性的物理机制。