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首页> 外文期刊>Proceedings of the National Academy of Sciences of the United States of America >Fluctuating shells under pressure
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Fluctuating shells under pressure

机译：在压力下波动的壳体

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摘要

Thermal fluctuations strongly modify the large length-scale elastic behavior of cross-linked membranes, giving rise to scale-dependent elastic moduli. Whereas thermal effects in flat membranes are well understood, many natural and artificial microstructures are modeled as thin elastic shells. Shells are distinguished from flat membranes by their nonzero curvature, which provides a size-dependent coupling between the in-plane stretching modes and the out-of-plane undulations. In addition, a shell can support a pressure difference between its interior and its exterior. Little is known about the effect of thermal fluctuations on the elastic properties of shells. Here, we study the statistical mechanics of shape fluctuations in a pressurized spherical shell, using perturbation theory and Monte Carlo computer simulations, explicitly including the effects of curvature and an inward pressure. We predict novel properties of fluctuating thin shells under point indentations and pressure-induced deformations. The contribution due to thermal fluctuations increases with increasing ratio of shell radius to thickness and dominates the response when the product of this ratio and the thermal energy becomes large compared with the bending rigidity of the shell. Thermal effects are enhanced when a large uniform inward pressure acts on the shell and diverge as this pressure approaches the classical buckling transition of the shell. Our results are relevant for the elasticity and osmotic collapse of microcapsules.
机译：热波动极大地改变了交联膜的长尺度弹性行为，从而产生了与尺度有关的弹性模量。尽管人们对平膜的热效应已广为人知，但许多天然和人工微观结构都被建模为薄的弹性壳。壳与平膜的区别在于它们的非零曲率，它在平面内拉伸模式和平面外起伏之间提供了尺寸依赖的耦合。另外，壳体可以支撑其内部和外部之间的压力差。关于热波动对壳的弹性性能的影响知之甚少。在这里，我们使用摄动理论和蒙特卡洛计算机模拟研究了加压球形壳体中形状波动的统计力学，明确包括了曲率和向内压力的影响。我们预测点凹痕和压力引起的变形下波动薄壳的新特性。与壳体的弯曲刚度相比，由热波动引起的贡献随壳体半径与厚度的比率的增加而增加，并且在该比率与热能的乘积变大时决定了响应。当较大的均匀向内压力作用在壳体上并随着该压力接近壳体的经典屈曲过渡而发散时，热效应会增强。我们的结果与微胶囊的弹性和渗透塌陷有关。

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    Jayson Paulose; Gerard A. Vliegenthart; Gerhard Gompper; David R. Nelson;

  • 作者单位

    Harvard School of Engineering and Applied Sciences, Cambridge, MA 02138;

    Institute for Advanced Simulation, Forschungszentrum Juelich, D-52425 Juelich, Germany Institute of Complex Systems, Forschungszentrum Juelich, D-52425 Juelich, Germany;

    Institute for Advanced Simulation, Forschungszentrum Juelich, D-52425 Juelich, Germany Institute of Complex Systems, Forschungszentrum Juelich, D-52425 Juelich, Germany;

    Department of Physics, Harvard University, Cambridge, MA 02138;

  • 收录信息 美国《科学引文索引》(SCI);美国《生物学医学文摘》(MEDLINE);美国《化学文摘》(CA);
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  • 正文语种 eng
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