Shear induced loss of saturation in a fluid infused swollen hyperelastic cylinder
Shear induced loss of saturation in a fluid infused swollen hyperelastic cylinder
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DOI：
10.1016/j.ijengsci.2010.02.003
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发表时间：
2010-06
影响因子：
6.6
通讯作者：
H. Deng;T. Pence
中科院分区：
文献类型：
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作者：
H. Deng;T. Pence
我们讨论了一个连续介质模型的吸收和再分配的流体在溶胀弹性体由于机械负荷，特别是区分系统的饱和液体和那些没有。为此，我们考虑了一个径向位移与方位剪切相结合的边值问题的环形柱注入流体超弹性介质。在没有负载的情况下，弹性体通过自由膨胀变形，从而产生均匀的膨胀，其中吸入的流体均匀分布。这种自由溶胀由Flory和Reynner的理论描述。然后，我们考虑各种边界位移和牵引力的影响，以研究这如何改变均匀的流体分布。Wineman和Rajagopal以前考虑过这个问题，在这种情况下，侧表面保持与自由膨胀相关的半径。在这里，我们考虑某些推广，其中侧表面不仅可以经历规定的相对扭曲，而且还可以经历径向位移。这允许流体进入或离开气缸。一个数值方法被调用来解决这些边值问题，使用代表性的材料参数。在自由膨胀之后，某些边界牵引产生总体积增加。如果可用流体的量是有限的，这就产生了完全流体吸收的可能性，于是系统不再饱和。据发现，饱和损失后的整体机械响应比它将是如果系统保持饱和。
We discuss a continuum model for the absorption and redistribution of fluid in swollen elastomers due to mechanical loading; and in particular distinguish between systems that are saturated with liquid and those that are not. To this end we consider a boundary value problem of radial displacement combined with azimuthal shear for an annular cylinder consisting of a fluid infused hyperelastic media. In the absence of load the elastomer deforms by free swelling, giving a homogeneous expansion in which the imbibed fluid is uniformly distributed. This free swelling is described by the theory of Flory and Rehner. We then consider the effect of various boundary displacements and tractions so as to study how this alters the uniform fluid distribution. This problem was previously considered by Wineman and Rajagopal for the case in which the lateral surfaces maintained the radius associated with free swelling. Here we consider certain generalizations in which the lateral surfaces may undergo not only a prescribed relative twist, but also radial displacement. This permits fluid to either enter or exit the cylinder. A numerical method is invoked to solve these boundary value problems using representative material parameters. Certain boundary tractions generate an overall volume increase after the free swelling. If the amount of available fluid is limited, this gives rise to the possibility of complete fluid absorption, whereupon the system is no longer saturated. It is found that the overall mechanical response after loss of saturation is stiffer than it would be if the system had remained saturated.