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Mechanism of Water Diffusion-Driven Crack Tip Deformation in Hydrogels
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Yudong Pan1, 2, Jiashuo Wang1, Xueqi Zhao3, **
Chinese Journal of Solid Mechanics | 2025, 46(4) : 520 - 532
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Chinese Journal of Solid Mechanics | 2025, 46(4): 520-532
Research Papers
Mechanism of Water Diffusion-Driven Crack Tip Deformation in Hydrogels
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Yudong Pan1, 2, Jiashuo Wang1, Xueqi Zhao3, **
Affiliations
  • 1School of Electrical Engineering, Xi'an Jiaotong University, Xi'an, 710049
  • 2The Institute of Xi'an Aerospace Solid Propulsion Technology, Xi'an, 710025
  • 3Rocket Force University of Engineering, Xi'an, 710025
Published: 2025-08-27 doi: 10.19636/j.cnki.cjsm42-1250/o3.2025.014
Outline
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Water diffusion in hydrogels significantly affects their mechanical behavior. The existing experimental studies on the fracture behavior of hydrogels affected by water diffusion mainly focused on macroscopic crack observations. The experimental characterization of crack tip deformation fields in aqueous environments remained unexplored. Furthermore, theoretical analysis of water diffusion effects on crack tip deformation lacks validation across different loading conditions. In this study, utilizing a custom-built mechano-chemical coupled tensile platform and digital image correlation (DIC) method, we investigated the effects of water diffusion on crack tip deformation in polyacrylamide (PAAm) hydrogels under constant force and constant displacement. Experimental results revealed a non-equilibrium diffusion competition mechanism at the crack tip under different loading conditions. Finite element simulation based on the equilibrium theory coupling large deformation with water diffusion was performed to analyze the swelling ratio near crack tips under constant force. The simulation results confirmed that stress-induced chemical potential gradients drive water accumulation at crack tips. Further, comparative experiments in oil and aqueous environments were performed to compare the time scale of water diffusion within the hydrogel and the time scale of water diffusion between the hydrogel and the surroundings. It is found that the load applied to the crack tip leads to a decline of chemical potential around the crack tip. The difference of chemical potential drives the water diffusion from the surroundings to the crack tip. This experimental result validates the existing theoretical analysis. The experimental result also demonstrates that water exchange between hydrogels and their surroundings instead of the water migration within the hydrogel itself dominates the crack tip deformation evolution. The elucidated mechanism of crack-tip diffusion and environmental interaction hold significant potential for guiding the design of hydrogels with enhanced fracture resistance and tailored mechanical performance in demanding applications such as biomedical implants and soft robotics operating in aqueous settings.

hydrogel  /  water diffusion  /  crack tip deformation  /  experimental analysis  /  numerical simulation
Yudong Pan, Jiashuo Wang, Xueqi Zhao. Mechanism of Water Diffusion-Driven Crack Tip Deformation in Hydrogels[J]. Chinese Journal of Solid Mechanics, 2025 , 46 (4) : 520 -532 . DOI: 10.19636/j.cnki.cjsm42-1250/o3.2025.014
Year 2025 volume 46 Issue 4
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doi: 10.19636/j.cnki.cjsm42-1250/o3.2025.014
  • Receive Date:2025-06-08
  • Online Date:2026-03-20
  • Published:2025-08-27
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  • Received:2025-06-08
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Affiliations
    1School of Electrical Engineering, Xi'an Jiaotong University, Xi'an, 710049
    2The Institute of Xi'an Aerospace Solid Propulsion Technology, Xi'an, 710025
    3Rocket Force University of Engineering, Xi'an, 710025
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表12种不同金属材料的力学参数

Family
属数
Number of
genus
种数
Number of
species
占总种数比例
Percentage of
total species (%)

Genus
种数
Number of
species
占总种数比例
Percentage of total
species (%)
鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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