Gao Yiwei, Cho H Jeremy
Department of Mechanical Engineering, University of Nevada, Las Vegas, Las Vegas, NV 89154, USA.
Soft Matter. 2022 Oct 19;18(40):7735-7740. doi: 10.1039/d2sm01215d.
Hydrogels have a distinct combination of mechanical and water-transport behaviors. As hydrogels stiffen when they de-swell, they become less permeable. Here, we combine de Gennes' semi-dilute polymer theory with the Kozeny-Carman equation to develop a simple, succinct scaling law describing the relationship between mechanical stiffness and hydraulic permeability where permeability scales with stiffness to the -8/9 power. We find a remarkably close agreement between the scaling law and experimental results across four different polymer families with varied crosslinkings. This inverse relationship establishes a fundamental trade-off between permeability and stiffness.
水凝胶具有独特的机械性能和水传输行为组合。由于水凝胶在去溶胀时会变硬，其渗透性会降低。在此，我们将德热纳的半稀聚合物理论与柯曾尼-卡曼方程相结合，以建立一个简单、简洁的标度律，描述机械刚度与水力渗透率之间的关系，其中渗透率与刚度的-8/9次方成比例。我们发现，该标度律与四个不同聚合物家族、具有不同交联度的实验结果之间存在非常紧密的一致性。这种反比关系在渗透率和刚度之间建立了一种基本的权衡。
