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首页> 外文期刊>Journal of Computational Physics >Large deformation of liquid capsules enclosed by thin shells immersed in the fluid
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Large deformation of liquid capsules enclosed by thin shells immersed in the fluid

机译：浸入流体中的薄壳封闭的液体胶囊的大变形

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摘要

The deformation of a liquid capsule enclosed by a thin shell in a simple shear flow is studied numerically using an implicit immersed boundary method. We present a thin-shell model for computing the forces acting on the shell middle surface during the deformation within the framework of the Kirchhoff-Love theory of thin shells. This thin-shell model takes full account of finite-deformation kinematics which allows thickness stretching as well as large deflections and bending strains. For hyperelastic materials, the plane-stress assumption is used to compute the hydrostatic pressure and the incompressibility condition yields the thickness strain component and the corresponding change in the thickness. The stresses developing over the cross-section of the shell are integrated over the thickness to yield the stress and moment resultants which are then used to compute the forces acting on the shell middle surface. The immersed boundary method is employed for calculating the hydrodynamics and fluid-structure interaction effects. The location of the thin shell is updated implicitly using the Newton-Krylov method. The present numerical technique has been validated by several examples including an inflation of a spherical shell and deformations of spherical and oblate spheroidal capsules in the shear flow.
机译：使用隐式浸入边界法数值研究了在简单剪切流中被薄壳包裹的液体囊的变形。我们提出了一个薄壳模型，用于计算在薄壳的Kirchhoff-Love理论框架内变形期间作用在壳中间表面上的力。这种薄壳模型充分考虑了有限变形运动学，该运动学允许厚度拉伸以及大的挠度和弯曲应变。对于超弹性材料，平面应力假设用于计算静水压力，不可压缩条件产生厚度应变分量以及相应的厚度变化。在壳的整个横截面上产生的应力在厚度上积分，以产生应力和力矩合力，然后将其用于计算作用在壳中表面上的力。采用沉浸边界法来计算流体力学和流固耦合效应。薄壳的位置使用Newton-Krylov方法隐式更新。本数值技术已通过几个实例得到验证，包括球形壳的膨胀以及剪切流中球形和扁球形球囊的变形。

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