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Quantifying the trade-off between stiffness and permeability in hydrogels

Soft Matter, ISSN: 1744-6848, Vol: 18, Issue: 40, Page: 7735-7740
2022
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Soft Matter Emerging Investigator – Jeremy Cho

Jeremy Cho is an Assistant Professor of Mechanical Engineering at the University of Nevada, Las Vegas (UNLV). Previously, he was a postdoctoral research associate at Princeton University in the Chemical and Biological Engineering Department where he studied water transport and solid mechanics of granular hydrogel systems. He received his PhD and SM in mechanical engineering from MIT where he focus

Article Description

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.

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