Significance
The combinational muscle-like properties including high fatigue resistance, high strength, superior compliance, and high water content are highly desirable for various applications of soft biomaterials such as hydrogels. These combinational properties, largely attributed to the aligned nanofibrils in natural muscles, have not been achieved in synthetic hydrogels. Here, we propose a strategy of mechanical training to impart hydrogels with an extremely high fatigue threshold (1,250 J/m2) and strength (5.2 MPa), while maintaining a high water content (84 wt %) and a low Young’s modulus (200 kPa), reaching combinational muscle-like properties with aligned nanofibrillar architectures. We further achieve isotropically enhanced properties by three-dimensionally printing the hydrogels into microstructures.
Keywords: polyvinyl alcohol, anti–fatigue-fracture, freeze−thaw, prestretch, 3D printing
Abstract
Skeletal muscles possess the combinational properties of high fatigue resistance (1,000 J/m2), high strength (1 MPa), low Young’s modulus (100 kPa), and high water content (70 to 80 wt %), which have not been achieved in synthetic hydrogels. The muscle-like properties are highly desirable for hydrogels’ nascent applications in load-bearing artificial tissues and soft devices. Here, we propose a strategy of mechanical training to achieve the aligned nanofibrillar architectures of skeletal muscles in synthetic hydrogels, resulting in the combinational muscle-like properties. These properties are obtained through the training-induced alignment of nanofibrils, without additional chemical modifications or additives. In situ confocal microscopy of the hydrogels’ fracturing processes reveals that the fatigue resistance results from the crack pinning by the aligned nanofibrils, which require much higher energy to fracture than the corresponding amorphous polymer chains. This strategy is particularly applicable for 3D-printed microstructures of hydrogels, in which we can achieve isotropically fatigue-resistant, strong yet compliant properties.
Biological load-bearing tissues such as skeletal muscles commonly show J-shaped stress−strain behaviors with low Young’s modulus and high strength on the order of 100 kPa and 1 MPa, respectively (1, 2). Moreover, despite their high water content of around 75 wt % (3), skeletal muscles can sustain a high stress of 1 MPa over 1 million cycles per year, with a fatigue resistance over 1,000 J/m2 (4). The combinational properties of skeletal muscles (i.e., high fatigue resistance, high strength, superior compliance, and high water content) are highly desirable for hydrogels’ nascent applications in soft biological devices, such as load-bearing artificial tissues (5), hydrogel bioelectronics (6–9), hydrogel optical fibers (10, 11), ingestible hydrogel devices (12), robust hydrogel coatings on medical devices (13–17), and hydrogel soft robots (18–20).
Although various molecular and macromolecular engineering approaches have replicated parts of biological muscles’ characteristics, none of them can synergistically replicate all these attributes in one single material system (SI Appendix, Table S1). For example, both strain-stiffening hydrogels (21, 22) and bottle brush polymer networks (1, 23) can mimic the J-shaped stress−strain behaviors, but their fracture toughness is still much lower than biological tissues, since no significant mechanical dissipation has been introduced in these materials for toughness enhancement. Although various tough hydrogels (24–26) have been developed by incorporating various dissipation mechanisms, they are susceptible to fatigue fracture under repeated mechanical loads, since the resistance to fatigue crack propagation after prolonged repeated mechanical loads is the energy required to fracture a single layer of polymer chains, unaffected by the additional dissipation (27). Recently, introduction of well-controlled nanocrystalline domains (28) has been shown to substantially increase a hydrogel’s fatigue threshold (i.e., the minimal fracture energy at which crack propagation occurs under cyclic loads), but the growth of nanocrystalline domains consumes interstitial amorphous polymer chains and therefore increases the Young’s modulus and reduces the water content of the hydrogel.
Here, we propose a strategy to achieve the combinational muscle-like properties in synthetic hydrogels via mechanical training (Fig. 1A). Using freeze-thawed polyvinyl alcohol (PVA) hydrogel as a model material, we successfully mimic the aligned nanofibrillar architectures in skeletal muscles (Fig. 1B). The developed hydrogels by mechanical training can achieve an extremely high fatigue threshold (1,250 J/m2) and nominal tensile strength (5.2 MPa), while maintaining a high water content (84 wt %) and low Young’s modulus (200 kPa), reaching combinational muscle-level properties (29) (Fig. 1C). In situ confocal microscopy of the hydrogels’ fracturing processes reveals that the fatigue-resistant (or anti–fatigue-fracture, endurant) mechanism for the hydrogels is the crack pinning by the aligned nanofibrils, which require much higher energy to fracture than the corresponding amorphous polymer chains. In situ X-ray scattering of the hydrogels under elongation further reveals that the low Young’s modulus of the hydrogels is attributed to the stretching of polymer chains, orientation of nanocrystalline domains, and sliding of aligned nanofibrils under moderate stretches.
Results
Design of Muscle-Like Hydrogels.
Fig. 1A schematically illustrates our strategy to design synthetic hydrogels with combinational properties comparable to skeletal muscles. The strategy first involves growing compliant nanofibrils in PVA hydrogels by forming two separated phases (30): (i) high concentration of polymer chains in the form of nanofibrils cross-linked by nanocrystalline domains and (ii) low concentration of amorphous polymer chains. PVA polymer chains possess abundant hydroxyl side groups, which can readily form intrachain/interchain hydrogen bonding. Upon exposure to a low temperature below freezing (i.e., −20 °C), the water freezes and forms ice crystals that can expel PVA chains to form regions of high polymer concentrations. As the PVA chains come into close contact with each other, nanocrystalline domains nucleate with the formation of hydrogen bonds (30–32). These interactions (i.e., hydrogen bonding) remain intact in the subsequent thawing process, leading to a physically cross-linked network of nanofibrils. The dendritic growth of ice crystals further leads to a random distribution of these nanofibrils (33). The process of freezing and thawing is repeated for five cycles to grow sufficient nanofibrils.
To form the aligned nanofibrillar structures, the pristine freeze-thawed hydrogels with randomly distributed nanofibrils are exposed to repeated prestretches in a water bath as mechanical training, similar to the exercise of skeletal muscles. Under repeated exercise, skeletal muscles get strengthened by self-growing, accompanied by the disruption of the nanofibrillar structures in skeletal muscle and growth of new muscle nanofibrils (34). Similarly, repeated prestretches applied on the hydrogels with randomly distributed nanofibrils are accompanied by the disruption of randomly oriented nanocrystalline domains, followed by gradual alignment of nanofibrils with newly formed aligned nanocrystalline domains (35). One merit of our training strategy is that it does not require any extra supply of building blocks (i.e., monomers) during the mechanical training (36).
Random and Aligned Nanofibrillar Structures.
We first use confocal laser scanning microscopy to visualize the nanofibrils in the pristine freeze-thawed PVA hydrogel. Fluorochromes are conjugated to the PVA macromolecules by immersing the freeze-thawed hydrogels in a reactive dye solution (37) (SI Appendix, Fig. S1). With the conjugated fluorochromes, the PVA-rich phases are visible in green in the form of randomly distributed nanofibrils (Fig. 2A), while regions with relatively low concentrations of PVA polymers (i.e., water-rich phase between adjacent nanofibrils) are dark. As a control, the chemically cross-linked PVA hydrogel shows green luminance with uniform brightness, indicating the uniform distribution of PVA amorphous chains (SI Appendix, Fig. S2).
We next show that the freeze-thawed PVA hydrogel can form aligned nanofibrillar structures by repeated prestretches in a water bath (Fig. 2A and SI Appendix, Fig. S3A). The confocal images of the prestretched PVA hydrogel in Fig. 2A and SI Appendix, Fig. S3 confirm that the randomly distributed nanofibrils gradually reorient and align toward the direction of the applied prestretches. It is noted that, once the first cycle of prestretch is relaxed, the aligned nanofibrils mostly recover their previous random distribution elastically (SI Appendix, Fig. S4). As the cycle number increases, plastic deformation accumulates in the hydrogel, which gradually elongates along the prestretched direction, and finally preserves the alignment (SI Appendix, Fig. S5). The alignment of nanofibrils reaches a steady state after sufficient cycles of prestretches (i.e., 1,000 cycles of prestretches of 4.6). The alignment of the nanofibrils in the prestretched PVA hydrogels is also validated through scanning electron microscopy (SEM) images (Fig. 2C) and atomic force microscopy (AFM) phase images (Fig. 2D). Small angle X-ray scanning (SAXS) patterns (Fig. 2B) further reveal that the nanocrystalline domains in nanofibrils have been reoriented during the prestretches. In addition, the measured diameters of the nanofibrils range from ∼100 nm to ∼1 µm (Fig. 2 A and C and SI Appendix, Fig. S6).
Existing approaches to introduce ordered nanocrystalline domains and aligned structures in hydrogels include cold-drawing (38), prestretching in air (39), and constrained air-drying (40), which fail to retain their original high water contents, due to the formation of additional excessive nanocrystalline domains. By contrast, the prestretched PVA hydrogel obtained from our strategy can still maintain a high water content of 84 wt % (Fig. 3C), close to the pristine freeze-thawed PVA samples (88 wt %). The differential scanning calorimetry results further show that the crystallinity in the swollen state of the prestretched PVA hydrogel is only 2.8 wt % (SI Appendix, Fig. S8), slightly higher than the pristine freeze-thawed PVA hydrogel (1.8 wt %) (Fig. 3C). The slightly increased crystallinity could be attributed to the newly formed nanocrystalline domains during the nanofibrillar alignments under cyclic prestretches (41). Both high water content and low crystallinity in our prestretched PVA hydrogel indicate that our strategy could substantially suppress the undesirable excessive crystallization while maintaining water content and compliance of the hydrogels.
Combinational Muscle-Like Properties.
We further demonstrate the combinational muscle-like mechanical properties in the prestretched PVA hydrogel (Fig. 3). At small stretches, the prestretched PVA hydrogel demonstrates a low Young’s modulus along directions both parallel (210 kPa) and perpendicular (140 kPa) to the aligned nanofibrils, similar to the pristine freeze-thawed PVA hydrogel (100 kPa) (Fig. 3 A and D). At high stretches, the prestretched PVA hydrogel stiffens drastically parallel to the aligned nanofibrils, exhibiting a J-shaped stress versus stretch curve, similar to that of skeletal muscles (1). In addition, the prestretched PVA hydrogel shows an extremely high ultimate nominal tensile strength of 5.2 MPa parallel to the aligned nanofibrils, which is 4.3 times the pristine freeze-thawed hydrogel’s strength (1.2 MPa) and 26 times the chemically cross-linked hydrogel’s strength (0.2 MPa) (Fig. 3 A and D). The ultimate nominal tensile strength of the prestretched PVA hydrogel perpendicular to nanofibrils is measured to be 1.1 MPa, close to the value of the pristine freeze-thawed hydrogel (i.e., 1.2 MPa). The prestretched PVA hydrogel also shows high resilience with negligible hysteresis when stretched along the aligned nanofibrils (SI Appendix, Fig. S9). The fatigue threshold of the prestretched PVA hydrogel measured along the aligned nanofibrils reaches a record-high value of 1,250 J/m2 (Fig. 3B), orders of magnitude higher than those of existing tough hydrogels (∼10 J/m2 to ∼100 J/m2) (42–44). To validate the high fatigue threshold of the prestretched PVA hydrogels parallel to the aligned nanofibrils, we also apply cyclic loads on a single-notch tensile specimen with an energy release rate of 1,250 J/m2 and observe no crack extension over 30,000 cycles (SI Appendix, Fig. S10). Note that the resolution of measured dc/dN to determine this fatigue threshold is on the same order as the resolution in previous measurements of rubbers’ fatigue thresholds (27). By contrast, the fatigue threshold perpendicular to the aligned nanofibrils is 233 J/m2, which is on the same order as that of the pristine freeze-thawed PVA hydrogel (i.e., 310 J/m2; SI Appendix, Fig. S11), but still much larger than that of the chemically cross-linked PVA hydrogel (i.e., 10 J/m2; SI Appendix, Fig. S11).
To compare our results with existing hydrogels and biological tissues, we summarize the nominal tensile strengths, Young’s moduli, fatigue thresholds, and water contents of various tough hydrogels (24, 25, 28, 40, 45–49) and biological tissues (1) in Fig. 3 E and F. The strength−modulus ratios S/E of existing tough hydrogels such as PAAm-alginate (24), PVA-PAAm (48), dry annealed PVA (28), freeze-thawed PVA (50), polyampholyte hydrogels (47), fiber-reinforced hydrogel composites (45, 51), wood hydrogels (46), and constrained air-drying hydrogels (40) are in the range of 0.1 to 10 (Fig. 3E). Remarkably, the strength−modulus ratio S/E of the prestretched PVA hydrogel is as high as 50, since the high strength of the prestretched PVA hydrogel is accompanied by its low Young’s modulus.
In addition to the challenge of designing synthetic hydrogels with superior compliance and high strength, the combinational properties of high fatigue threshold and high water content have not been achieved in existing hydrogels (Fig. 3F). By following our strategy, the fatigue threshold of the prestretched PVA hydrogel can achieve a high value of 1,250 J/m2 along with a high water content of 84 wt %, outperforming existing hydrogels and biological tissues.
Mechanisms for Superior Compliance.
In situ SAXS measurements offer insights into the mechanisms for the superior compliance of the prestretched PVA hydrogel at small deformations (Fig. 4A). The nanocrystalline morphology in the prestretched PVA hydrogel (in the swollen state) is investigated by SAXS analysis at the applied stretch of 1, 1.4, 1.8, and 2.2. As shown in Fig. 4 B and D, the average distance between neighboring nanocrystalline domains parallel to aligned nanofibrils L∥ (i.e., θ = 0°) for the prestretched PVA hydrogel at undeformed state (i.e., λ = 1) is estimated to be 13.2 nm. As the applied stretch increases to 2.2, the average distance between neighboring nanocrystalline domains increases to 15.5 nm (Fig. 4D), which indicates the stretching of interstitial amorphous chains between the adjacent nanocrystalline domains in the nanofibrils. Since the stretch ratio of interstitial amorphous chains (e.g., 15.5 nm/13.2 nm) is much lower than the corresponding applied stretch (e.g., 2.2), sliding between nanofibrils may also occur during stretching. In comparison, the scattering curves show negligible difference at different stretches perpendicular to the aligned nanofibrils L⊥ (i.e., θ = 90°) (Fig. 4C), which implies the average distance between neighboring nanocrystalline domains perpendicular to the aligned nanofibrils L⊥ (i.e., θ = 90°) remains constant with negligible lateral contraction as the stretch increases.
We further plot the scattering intensity I versus direction θ to quantify the degree of orientation of nanocrystalline domains during stretching (Fig. 4E). At the undeformed state (i.e., λ = 1), there are peaks along the prestretched direction (i.e., θ = 0°), implying that the orientation of nanocrystalline domains along the prestretched direction exists in the undeformed sample. As the applied stretch increases, the peaks along the prestretched direction (i.e., θ = 0°) become more pronounced, indicating that the applied stretch can drive additional orientation of nanocrystalline domains. Overall, the stretching of interstitial amorphous chains, orientation of nanocrystalline domains, and sliding between nanofibrils account for the superior compliance of the prestretched PVA hydrogel at moderate deformations along the aligned nanofibrils.
Furthermore, the high compliance of the pristine freeze-thawed PVA hydrogel and the prestretched PVA hydrogel stretched perpendicularly to the aligned nanofibrils can be attributed to the orientation of randomly distributed nanofibrils and the stretching of amorphous polymer chains between adjacent nanofibrils, respectively.
Mechanisms for High Fatigue Threshold.
In situ confocal laser scanning microscopy further explains the mechanisms for the high fatigue threshold of the prestretched PVA hydrogel. As shown in Fig. 5 A and B, the aligned nanofibrils are perpendicular to the crack path and pin the crack due to the high strength of the nanofibrils. There is no observable crack propagation at the applied stretch of 2.4. As the applied stretch further increases to 2.6, the nanofibrils at the crack tip are pulled out from the hydrogel but still bridge the crack tip. As the crack propagates, the rupture of the nanofibrils requires a much higher energy per unit area than fracturing the corresponding amorphous polymer chains, giving rise to a much higher fatigue threshold (1,250 J/m2) than that of the amorphous polymer networks (10 J/m2). Notably, the crack pinned by the aligned nanofibrils does not branch or tilt under high static and cyclic loads (e.g., Fig. 5B and SI Appendix, Fig. S10), assuring the hydrogel’s high fatigue threshold. By contrast, crack branching and tilting has been observed in hydrogels reinforced by microscale phase separation (52) and in elastomers reinforced by macroscale fibers (53). It will be interesting to study the effects of the reinforcements across different length scales in future.
When the crack is parallel to the aligned nanofibrils, the crack begins to propagate in between neighboring nanofibrils at the applied stretch of 1.5, fracturing interstitial amorphous chains between the adjacent nanofibrils (Fig. 5 C and D). Similarly, in pristine freeze-thawed PVA hydrogel, the initially randomly oriented nanofibrils gradually align parallel to the crack contour with the increase of the applied stretch, followed by fracturing interstitial amorphous chains (Fig. 5 E and F). In addition, due to the very long amorphous chains between the adjacent nanofibrils (27), the fatigue thresholds of the pristine freeze-thawed PVA hydrogel and the prestretched PVA hydrogel with a crack along the aligned nanofibrils are still moderately high (310 J/m2 and 233 J/m2, respectively; SI Appendix, Fig. S11).
Three-Dimensional Printing of Isotropically Fatigue-Resistant, Strong yet Compliant Micromeshes.
The aligned nanofibrils give notably anisotropic mechanical behaviors of the prestretched PVA hydrogel, similar to that of skeletal muscles. However, for many applications, it is desirable to achieve isotropically muscle-level properties. Here, we propose to three-dimensionally print microstructures of hydrogels and mechanically train the structures to achieve fatigue-resistant, strong yet compliant properties in both in-plane directions. To demonstrate such potential, we develop PVA ink and print microstructures with square meshes as shown in SI Appendix, Fig. S12A. The confocal image of the 3D-printed PVA filaments with a diameter of 750 µm shows random distributions of nanofibrils before mechanical training (Fig. 6A and SI Appendix, Fig. S12B). During mechanical training, the printed microstructure undergoes biaxial cyclic prestretches in a water bath (i.e., prestretch of 3.5 over 1,000 cycles). The trained PVA filaments with a reduced diameter of 500 µm (SI Appendix, Fig. S12B) show pronounced alignments of nanofibrils along the filaments from the confocal images and the SAXS patterns (Fig. 6B). We further measure the effective nominal stress (i.e., the force divided by the cross-sectional area of the microstructure) versus stretch of the PVA mesh before and after training. The effective Young’s moduli of the prestretched mesh along both in-plane directions are measured to be 70 kPa, which is slightly higher than that of the pristine mesh (Fig. 6D). The effective nominal strength of the prestretched mesh along both in-plane directions is measured to be 500 kPa, which is 1.5 times higher than that of the pristine mesh (Fig. 6E). We further apply cyclic loads on both meshes before and after training with a notch (Fig. 6C), evaluating their effective fatigue thresholds (i.e., the minimal energy release rate at which crack propagation occurs in the mesh under cyclic loads). The effective fatigue threshold of the prestretched mesh after training reaches 1,000 J/m2 in both in-plane directions, 2 times higher than that of the pristine mesh (Fig. 6F).
Conclusions
The classical Lake−Thomas theory predicts that the fatigue threshold of a polymer network is the energy required to fracture a single layer of amorphous polymer chains, on the order of 1 J/m2 to 100 J/m2 (27, 54). We have proposed that the design principle for fatigue-resistant (or anti–fatigue-fracture, endurant) hydrogels is to make the fatigue crack encounter and fracture objects requiring energies per unit area much higher than that for fracturing a single layer of amorphous polymer chains (28). We have shown that high densities of nanocrystalline domains in hydrogels can act as the high-energy phase to effectively pin fatigue cracks and greatly enhance the fatigue threshold of nanocrystalline hydrogel up to 1,000 J/m2, exceeding the Lake−Thomas limit (28). However, the nanocrystalline domains also significantly increase the Young’s modulus of the hydrogel, due to nanocrystalline domains’ high rigidity over 1 GPa (28).
While a much higher energy is also required to fracture nanofibrils than the corresponding amorphous polymer chains, the rigidity of nanofibrils under moderate stretches can be designed to be relatively low (55). In this paper, we further establish that aligning these nanofibrils in hydrogels by mechanical training can empower the integration of muscle-like performances, i.e., high fatigue threshold (1,250 J/m2), high strength (5.2 MPa), low Young’s modulus (200 kPa), and high water content (84 wt %), into one single hydrogel material. In addition, we achieve isotropically enhanced properties by three-dimensionally printing the hydrogel into microstructures followed by mechanical training. The capability of making strong, fatigue-resistant yet soft hydrogels can enable various biomedical applications that interact with the human body for long-lasting performances. This work also opens an avenue to mechanically engineer alignments of nanofibrils and orientations of nanocrystalline domains in hydrogels.
Methods
All details associated with sample preparations, in situ confocal imaging, in situ X-ray scattering, SEM imaging, AFM phase imaging, mechanical characterization, measurement of water content and crystallinity, and 3D printing of PVA meshes appear in SI Appendix.
Material Preparation.
The freeze-thawed PVA was fabricated by freezing 10 wt % of PVA solution at −20 °C for 8 h and thawing at 25 °C for 3 h with five repeated cycles. The mechanically trained PVA hydrogel was fabricated by cyclically prestretching the freeze-thawed hydrogel in a water bath using a mechanical stretcher (Cellscale).
Confocal Imaging of PVA Hydrogels.
To visualize the microstructures of the PVA hydrogels, a fluorescent dye {i.e., 5-[(4,6-dichlorotriazin-2-yl)amino]fluorescein hydrochloride [5-DTAF]} was used to label the PVA side groups. Specifically, PVA hydrogel samples were first immersed in a large volume of sodium bicarbonate solution (0.1 M, pH 9.0) for 12 h to equilibrate the pH within the samples. Then 5 mg of 5-DTAF dissolved in 1.0 mL of anhydrous dimethyl sulfoxide was further immersed into 100 mL of sodium bicarbonate solution (0.1 M, pH 9.0) to form a reactive dye solution. The pH-equilibrated PVA samples were immersed in the dye solution for 12 h at 4 °C in a dark environment to form conjugated fluorochromes. Finally, the hydrogel samples were rinsed several times with deionized water to wash away the nonconjugated dyes, before fluorescence imaging.
Mechanical Characterization.
All of the mechanical tests were performed using a U-stretch testing device (Cellscale) at a deformation rate of 0.3/s. Young’s modulus, strength, and fatigue threshold were measured in a water bath to prevent dehydration, following the method established in ref. 28.
Three-Dimensional Printing of PVA Hydrogels.
The prepared PVA inks were stored in 5-mL syringe barrels, which fit nozzles with diameters of 400 µm (Nordson EFD). To achieve stable and optimal printing, we chose 50 kPa of air pressure (Ultimus V; Nordson EFD) as the printing pressure, and 15 wt % PVA (146 kDa, 99% hydrolysis ratio) as the ink. After deposition, the printed samples were treated by five cycles of freezing (−20 °C for 8 h) and thawing (20 °C for 3 h) to achieve the final PVA hydrogel meshes.
Supplementary Material
Acknowledgments
We acknowledge J. Zhou at Massachusetts Institute of Technology (MIT) for help in preparing supercritical drying samples using supercritical dryer (Automegasamdri Series C; Tousimis) at Prof. E. N. Wang’s laboratory at MIT, and M. Z. Wyttenbach at MIT for the proofreading. This work was supported by National Science Foundation Grant CMMI-1661627, Office of Naval Research Grant N00014-17-1-2920, and US Army Research Office through the Institute for Soldier Nanotechnologies at MIT, Grant W911NF-13-D-0001.
Footnotes
The authors declare no conflict of interest.
This article is a PNAS Direct Submission.
This article contains supporting information online at www.pnas.org/lookup/suppl/doi:10.1073/pnas.1903019116/-/DCSupplemental.
References
- 1.Vatankhah-Varnosfaderani M, et al. Chameleon-like elastomers with molecularly encoded strain-adaptive stiffening and coloration. Science. 2018;359:1509–1513. doi: 10.1126/science.aar5308. [DOI] [PubMed] [Google Scholar]
- 2.Gillies AR, Lieber RL. Structure and function of the skeletal muscle extracellular matrix. Muscle Nerve. 2011;44:318–331. doi: 10.1002/mus.22094. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 3.Tavichakorntrakool R, et al. K+, Na+, Mg2+, Ca2+, and water contents in human skeletal muscle: Correlations among these monovalent and divalent cations and their alterations in K+ -depleted subjects. Transl Res. 2007;150:357–366. doi: 10.1016/j.trsl.2007.08.003. [DOI] [PubMed] [Google Scholar]
- 4.Taylor D, O’Mara N, Ryan E, Takaza M, Simms C. The fracture toughness of soft tissues. J Mech Behav Biomed Mater. 2012;6:139–147. doi: 10.1016/j.jmbbm.2011.09.018. [DOI] [PubMed] [Google Scholar]
- 5.Baker MI, Walsh SP, Schwartz Z, Boyan BD. A review of polyvinyl alcohol and its uses in cartilage and orthopedic applications. J Biomed Mater Res B Appl Biomater. 2012;100:1451–1457. doi: 10.1002/jbm.b.32694. [DOI] [PubMed] [Google Scholar]
- 6.Zhao S, et al. Programmable hydrogel ionic circuits for biologically matched electronic interfaces. Adv Mater. 2018;30:e1800598. doi: 10.1002/adma.201800598. [DOI] [PubMed] [Google Scholar]
- 7.Liu Y, et al. Soft and elastic hydrogel-based microelectronics for localized low-voltage neuromodulation. Nat Biomed Eng. 2019;3:58–68. doi: 10.1038/s41551-018-0335-6. [DOI] [PubMed] [Google Scholar]
- 8.Lu B, et al. Pure PEDOT:PSS hydrogels. Nat Commun. 2019;10:1043. doi: 10.1038/s41467-019-09003-5. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 9.Yuk H, Lu B, Zhao X. Hydrogel bioelectronics. Chem Soc Rev. 2019;48:1642–1667. doi: 10.1039/c8cs00595h. [DOI] [PubMed] [Google Scholar]
- 10.Guo J, et al. Highly stretchable, strain sensing hydrogel optical fibers. Adv Mater. 2016;28:10244–10249. doi: 10.1002/adma.201603160. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 11.Choi M, Humar M, Kim S, Yun SH. Step‐index optical fiber made of biocompatible hydrogels. Adv Mater. 2015;27:4081–4086. doi: 10.1002/adma.201501603. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 12.Liu X, et al. Ingestible hydrogel device. Nat Commun. 2019;10:493. doi: 10.1038/s41467-019-08355-2. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 13.Parada GA, Yuk H, Liu X, Hsieh AJ, Zhao X. Impermeable robust hydrogels via hybrid lamination. Adv Healthc Mater. 2017;6:1700520. doi: 10.1002/adhm.201700520. [DOI] [PubMed] [Google Scholar]
- 14.Yuk H, Zhang T, Lin S, Parada GA, Zhao X. Tough bonding of hydrogels to diverse non-porous surfaces. Nat Mater. 2016;15:190–196. doi: 10.1038/nmat4463. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 15.Yuk H, Zhang T, Parada GA, Liu X, Zhao X. Skin-inspired hydrogel-elastomer hybrids with robust interfaces and functional microstructures. Nat Commun. 2016;7:12028. doi: 10.1038/ncomms12028. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 16.Takahashi R, et al. Tough particle‐based double network hydrogels for functional solid surface coatings. Adv Mater Interfaces. 2018;5:1801018. [Google Scholar]
- 17.Yu Y, et al. Multifunctional “hydrogel skins” on diverse polymers with arbitrary shapes. Adv Mater. 2019;31:e1807101. doi: 10.1002/adma.201807101. [DOI] [PubMed] [Google Scholar]
- 18.Yuk H, et al. Hydraulic hydrogel actuators and robots optically and sonically camouflaged in water. Nat Commun. 2017;8:14230. doi: 10.1038/ncomms14230. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 19.Kim Y, Yuk H, Zhao R, Chester SA, Zhao X. Printing ferromagnetic domains for untethered fast-transforming soft materials. Nature. 2018;558:274–279. doi: 10.1038/s41586-018-0185-0. [DOI] [PubMed] [Google Scholar]
- 20.Chin SY, et al. Additive manufacturing of hydrogel-based materials for next-generation implantable medical devices. Sci Robot. 2017;2:eaah6451. doi: 10.1126/scirobotics.aah6451. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 21.Jaspers M, et al. Ultra-responsive soft matter from strain-stiffening hydrogels. Nat Commun. 2014;5:5808. doi: 10.1038/ncomms6808. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 22.Kouwer PH, et al. Responsive biomimetic networks from polyisocyanopeptide hydrogels. Nature. 2013;493:651–655. doi: 10.1038/nature11839. [DOI] [PubMed] [Google Scholar]
- 23.Vatankhah-Varnosfaderani M, et al. Mimicking biological stress-strain behaviour with synthetic elastomers. Nature. 2017;549:497–501. doi: 10.1038/nature23673. [DOI] [PubMed] [Google Scholar]
- 24.Sun J-Y, et al. Highly stretchable and tough hydrogels. Nature. 2012;489:133–136. doi: 10.1038/nature11409. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 25.Gong JP, Katsuyama Y, Kurokawa T, Osada Y. Double‐network hydrogels with extremely high mechanical strength. Adv Mater. 2003;15:1155–1158. [Google Scholar]
- 26.Zhao X. Multi-scale multi-mechanism design of tough hydrogels: Building dissipation into stretchy networks. Soft Matter. 2014;10:672–687. doi: 10.1039/C3SM52272E. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 27.Lake GJ, Lindley PB. The mechanical fatigue limit for rubber. J Appl Polym Sci. 1965;9:1233–1251. [Google Scholar]
- 28.Lin S, et al. Anti-fatigue-fracture hydrogels. Sci Adv. 2019;5:eaau8528. doi: 10.1126/sciadv.aau8528. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 29.Kinloch AJ. Fracture Behaviour of Polymers. Springer; New York: 2013. [Google Scholar]
- 30.Hassan CM, Peppas NA. Structure and morphology of freeze/thawed PVA hydrogels. Macromolecules. 2000;33:2472–2479. [Google Scholar]
- 31.Peppas NA. Turbidimetric studies of aqueous poly (vinyl alcohol) solutions. Macromol Chem Phys. 1975;176:3433–3440. [Google Scholar]
- 32.Holloway JL, Lowman AM, Palmese GR. The role of crystallization and phase separation in the formation of physically cross-linked PVA hydrogels. Soft Matter. 2013;9:826–833. [Google Scholar]
- 33.Willcox PJ, et al. Microstructure of poly (vinyl alcohol) hydrogels produced by freeze/thaw cycling. J Polym Sci B. 1999;37:3438–3454. [Google Scholar]
- 34.Schoenfeld BJ. The mechanisms of muscle hypertrophy and their application to resistance training. J Strength Cond Res. 2010;24:2857–2872. doi: 10.1519/JSC.0b013e3181e840f3. [DOI] [PubMed] [Google Scholar]
- 35.Toki S, Fujimaki T, Okuyama M. Strain-induced crystallization of natural rubber as detected real-time by wide-angle X-ray diffraction technique. Polymer (Guildf) 2000;41:5423–5429. [Google Scholar]
- 36.Matsuda T, Kawakami R, Namba R, Nakajima T, Gong JP. Mechanoresponsive self-growing hydrogels inspired by muscle training. Science. 2019;363:504–508. doi: 10.1126/science.aau9533. [DOI] [PubMed] [Google Scholar]
- 37.Fergg F, Keil F, Quader H. Investigations of the microscopic structure of poly (vinyl alcohol) hydrogels by confocal laser scanning microscopy. Colloid Polym Sci. 2001;279:61–67. [Google Scholar]
- 38.Sehaqui H, et al. Cellulose nanofiber orientation in nanopaper and nanocomposites by cold drawing. ACS Appl Mater Interfaces. 2012;4:1043–1049. doi: 10.1021/am2016766. [DOI] [PubMed] [Google Scholar]
- 39.Fukumori T, Nakaoki T. High strength poly (vinyl alcohol) films obtained by drying and then stretching freeze/thaw cycled gel. J Appl Polym Sci. 2015;132:41318. [Google Scholar]
- 40.Mredha MTI, et al. A facile method to fabricate anisotropic hydrogels with perfectly aligned hierarchical fibrous structures. Adv Mater. 2018;30:1704937. doi: 10.1002/adma.201704937. [DOI] [PubMed] [Google Scholar]
- 41.Zhang Q, et al. Stretch-induced structural evolution of poly (vinyl alcohol) film in water at different temperatures: An in-situ synchrotron radiation small-and wide-angle X-ray scattering study. Polymer (Guildf) 2018;142:233–243. [Google Scholar]
- 42.Bai R, et al. Fatigue fracture of tough hydrogels. Extreme Mech Lett. 2017;15:91–96. [Google Scholar]
- 43.Zhang W, et al. Fatigue of double-network hydrogels. Eng Fract Mech. 2017;187:74–93. [Google Scholar]
- 44.Bai R, Yang J, Suo Z. Fatigue of hydrogels. Eur J Mech A Solids. 2019;74:337–370. [Google Scholar]
- 45.Haraguchi K, Takehisa T. Nanocomposite hydrogels: A unique organic–inorganic network structure with extraordinary mechanical, optical, and swelling/de‐swelling properties. Adv Mater. 2002;14:1120–1124. [Google Scholar]
- 46.Kong W, et al. Muscle-inspired highly anisotropic, strong, ion-conductive hydrogels. Adv Mater. 2018;30:e1801934. doi: 10.1002/adma.201801934. [DOI] [PubMed] [Google Scholar]
- 47.Sun TL, et al. Physical hydrogels composed of polyampholytes demonstrate high toughness and viscoelasticity. Nat Mater. 2013;12:932–937. doi: 10.1038/nmat3713. [DOI] [PubMed] [Google Scholar]
- 48.Li J, Suo Z, Vlassak JJ. Stiff, strong, and tough hydrogels with good chemical stability. J Mater Chem B Mater Biol Med. 2014;2:6708–6713. doi: 10.1039/c4tb01194e. [DOI] [PubMed] [Google Scholar]
- 49.Lin S, Zhou Y, Zhao X. Designing extremely resilient and tough hydrogels via delayed dissipation. Extreme Mech Lett. 2014;1:70–75. [Google Scholar]
- 50.Stauffer SR, Peppast NA. Poly (vinyl alcohol) hydrogels prepared by freezing-thawing cyclic processing. Polymer (Guildf) 1992;33:3932–3936. [Google Scholar]
- 51.Lin S, et al. Design of stiff, tough and stretchy hydrogel composites via nanoscale hybrid crosslinking and macroscale fiber reinforcement. Soft Matter. 2014;10:7519–7527. doi: 10.1039/c4sm01039f. [DOI] [PubMed] [Google Scholar]
- 52.Bai R, Yang J, Morelle XP, Suo Z. Flaw-insensitive hydrogels under static and cyclic loads. Macromol Rapid Commun. 2019;2019:e1800883. doi: 10.1002/marc.201800883. [DOI] [PubMed] [Google Scholar]
- 53.Wang Z, et al. Stretchable materials of high toughness and low hysteresis. Proc Natl Acad Sci USA. 2019;116:5967–5972. doi: 10.1073/pnas.1821420116. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 54.Lake GJ, Thomas AG. The strength of highly elastic materials. Proc R Soc Lond A. 1967;300:108–119. [Google Scholar]
- 55.Ling S, Kaplan DL, Buehler MJ. Nanofibrils in nature and materials engineering. Nat Rev Mater. 2018;3:18016. doi: 10.1038/natrevmats.2018.16. [DOI] [PMC free article] [PubMed] [Google Scholar]
Associated Data
This section collects any data citations, data availability statements, or supplementary materials included in this article.