SHEAR INDUCED REDISTRIBUTION OF FLUID WITHIN A UNIFORMLY SWOLLEN NONLINEAR ELASTIC CYLINDER
SHEAR INDUCED REDISTRIBUTION OF FLUID WITHIN A UNIFORMLY SWOLLEN NONLINEAR ELASTIC CYLINDER
复制标题
DOI：
10.1016/0020-7225(92)90127-3
复制
发表时间：
1992-11
影响因子：
6.6
通讯作者：
A. Wineman;K. Rajagopal
中科院分区：
文献类型：
--
作者：
A. Wineman;K. Rajagopal
混合物理论应用于确定与流体浴接触隔离的固体-流体混合物的平衡状态。在所考虑的特定问题中，中空橡胶圆柱体首先在流体浴中经历无约束溶胀。固体均匀变形为较大的圆柱形，流体均匀分散，混合物处于饱和平衡状态。然后将混合物在其内表面和外表面粘合到刚性不可渗透膜上。刚性不可渗透平板在其端部限制运动。当溶胀长度保持固定时，膜的相对旋转引起橡胶-流体混合物中的剪切变形。由此产生的正应力导致混合物从其初始平衡状态的变化，在该初始平衡状态中，系统均匀溶胀但未剪切到新的平衡状态，在该新的平衡状态中，存在固体变形和流体密度的径向变化。一个数值例子，使用一个特定的橡胶流体混合物的属性，表明该混合物的体积和流体密度减少的圆筒的内壁附近和外壁附近增加。
The theory of mixtures is applied to the determination of equilibrium states of a solid-fluid mixture which is isolated from contact with a fluid bath. In the particular problem considered, a hollow rubber cylinder first undergoes unconstrained swelling in a fluid bath. The solid is homogeneously deformed to a larger cylindrical shape, the fluid is uniformly dispersed and the mixture is in a saturated equilibrium state. The mixture is then bonded to rigid impermeable membranes at its inner and outer surfaces. Rigid impermeable flat plates restrain motion at its ends. While the swollen length is held fixed, relative rotation of the membranes induces shear distortion in the rubber-fluid mixture. The resulting normal stresses cause a change in the mixture from its initial equilibrium state in which the system is homogeneously swollen but unsheared to a new equilibrium state in which there is radial variation of both the solid deformation and fluid density. A numerical example, using properties for a particular rubber-fluid mixture, shows that the volume of the mixture and the fluid density decrease near the inner wall of the cylinder and increase near the outer wall.