Effect of constitutive laws for two-dimensional membranes on flow-induced capsule deformation
Effect of constitutive laws for two-dimensional membranes on flow-induced capsule deformation
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DOI：
10.1017/s0022112002008352
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发表时间：
2002-06-10
影响因子：
3.7
通讯作者：
Dhenin, E
中科院分区：
文献类型：
--
作者：
Barthès-Biesel, D;Diaz, A;Dhenin, E
三个本构律（Skalak et al.的法律扩展到面积可压缩界面，胡克定律和Mooney-Rivlin定律）通常用来描述薄膜力学的介绍和比较。一个小变形分析的拉伸-变形关系的单轴拉伸和各向同性膨胀允许我们建立一个对应的法律之间的个别材料参数。大变形分析表明，Mooney-Rivlin定律是应变软化，而Skalak等人的法律是应变硬化的膜膨胀模量的任何值。然后计算了几种膜本构关系下双曲纯应变流中悬浮胶囊的大变形。具有Mooney-Rivlin膜的胶囊在连续伸长过程中破裂，而具有Skalak等膜的胶囊在所考虑的参数范围内总是达到稳态。对线性剪切流中球形胶囊的小变形分析进行了修正，以考虑膜膨胀模量的影响。
Three constitutive laws (Skalak et al.'s law extended to area-compressible interfaces, Hooke's law and the Mooney-Rivlin law) commonly used to describe the mechanics of thin membranes are presented and compared. A small-deformation analysis of the tension-deformation relation for uniaxial extension and for isotropic dilatation allows us to establish a correspondence between the individual material parameters of the laws. A large-deformation analysis indicates that the Mooney-Rivlin law is strain softening, whereas the Skalak et al. law is strain hardening for any value of the membrane dilatation modulus. The large deformation of a capsule suspended in hyperbolic pure straining flow is then computed for several membrane constitutive laws. A capsule with a Mooney-Rivlin membrane bursts through the process of continuous elongation, whereas a capsule with a Skalak et al. membrane always reaches a steady state in the range of parameters considered. The small-deformation analysis of a spherical capsule embedded in a linear shear flow is modified to account for the effect of the membrane dilatation modulus.