journal article·2020-03

Crack propagation and renucleation in soft brittle hydrogels

Kimberley Ann Mac Donald, Guruswami Ravichandran

International Journal of Fracture· Volume 222· Issue 1-2
Publisher page

Abstract

Crack tip opening displacement (CTOD) and fracture energy are determined from crack geometry and material properties for very slowly propagating cracks, less than 50 $$\upmu \mathrm {m/s}$$, in thin brittle hydrogels on the sub-millimeter scale. 2D fluorescent speckle images are captured using confocal microscopy during propagation, and 3D volumetric images are captured both before propagation begins and after the crack arrests. Fracture energy builds up until a critical value is reached and then remains constant as the crack propagates and eventually arrests when the energy is no longer sufficient for propagation. Once a crack arrests, more energy is needed for renucleation, suggesting that local toughening effects are at play. Based on observations of renucleation events and analysis of 3D crack shapes, this local toughening points to a mechanism for fracture surface roughening observed in the literature for slowly propagating cracks. Additionally, through-thickness variation in fracture energy, while expected from linear elastic fracture mechanics (LEFM) theory, suggests local toughening in the process zone which contributes to this roughening of crack surfaces.
Source: openaire · Quality: candidate unverified · Source record ↗

Research context

OpenAlex topics: Drilling and Well Engineering · Ultrasonics and Acoustic Wave Propagation · Calcium Carbonate Crystallization and Inhibition

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (42)

Show source-provided references
1. Abe H, Mura T, Keer LM (1976) Growth rate of a penny-shaped crack in hydraulic fracturing of rocks. J Geophys Res (1896–1977) 81(29):5335–5340. https://doi.org/10.1029/JB081i029p0533510.1029/JB081i029p05335 ↗
2. Agnelli S, Baldi F, Bignotti F, Salvadori A, Peroni I (2018) Fracture characterization of hyperelastic polyacrylamide hydrogels. Eng Fract Mech. https://doi.org/10.1016/j.engfracmech.2018.06.00410.1016/j.engfracmech.2018.06.004 ↗
3. Anderson TL (2005) Fracture mechanics: fundamentals and applications, 3rd edn. CRC Press, Boca Raton10.1201/9781420058215 ↗
4. Annabi N, Nichol JW, Zhong X, Ji C, Koshy S, Khademhosseini A, Dehghani F (2010) Controlling the porosity and microarchitecture of hydrogels for tissue engineering. Tissue Eng Part B Rev 16(4):371–383. https://doi.org/10.1089/ten.teb.2009.063910.1089/ten.teb.2009.0639 ↗
5. Baldi F, Bignotti F, Peroni I, Agnelli S, Riccò T (2012) On the measurement of the fracture resistance of polyacrylamide hydrogels by wire cutting tests. Polym Test 31(3):455–465. https://doi.org/10.1016/j.polymertesting.2012.01.00910.1016/j.polymertesting.2012.01.009 ↗
6. Bar-Kochba E, Toyjanova J, Andrews E, Kim KS, Franck C (2015) A fast iterative digital volume correlation algorithm for large deformations. Exp Mech 55(1):261–274. https://doi.org/10.1007/s11340-014-9874-210.1007/s11340-014-9874-2 ↗
7. Baumberger T, Caroli C, Martina D, Ronsin O (2008) Magic angles and cross-hatching instability in hydrogel fracture. Phys Rev Lett 100(17):178303. https://doi.org/10.1103/PhysRevLett.100.17830310.1103/PhysRevLett.100.178303 ↗
8. Blaber J, Adair B, Antoniou A (2015) Ncorr: Open-source 2D digital image correlation matlab software. Exp Mech 55(6):1105–1122. https://doi.org/10.1007/s11340-015-0009-110.1007/s11340-015-0009-1 ↗
9. Bostwick JB, Daniels KE (2013) Capillary fracture of soft gels. Phys Rev E 88(4):042410. https://doi.org/10.1103/PhysRevE.88.04241010.1103/PhysRevE.88.042410 ↗
10. Bouchbinder E, Livne A, Fineberg J (2010) Weakly nonlinear fracture mechanics: experiments and theory. Int J Fract 162:3–20. https://doi.org/10.1007/s10704-009-9427-310.1007/s10704-009-9427-3 ↗
11. Bouklas N, Landis CM, Huang R (2015) Effect of solvent diffusion on crack-tip fields and driving force for fracture of hydrogels. J Appl Mech 82(8):081007. https://doi.org/10.1115/1.403058710.1115/1.4030587 ↗
12. Broek D (1982) Elementary engineering fracture mechanics, 1st edn. Springer, Haarlem. https://doi.org/10.1007/978-94-009-4333-910.1007/978-94-009-4333-9 ↗
13. Coyle S, Majidi C, LeDuc P, Hsia KJ (2018) Bio-inspired soft robotics: material selection, actuation, and design. Extrem Mech Lett 22:51–59. https://doi.org/10.1016/j.eml.2018.05.00310.1016/j.eml.2018.05.003 ↗
14. de Gennes PG (2005) Soft matter: more than words. Soft Matter 1(1):16. https://doi.org/10.1039/B419223K10.1039/B419223K ↗
15. Denisin AK, Pruitt BL (2016) Tuning the range of polyacrylamide gel stiffness for mechanobiology applications. ACS Appl Mater Interfaces 8(34):21893–21902. https://doi.org/10.1021/acsami.5b0934410.1021/acsami.5b09344 ↗
16. Engler AJ, Sen S, Sweeney HL, Discher DE (2006) Matrix elasticity directs stem cell lineage specification. Cell 126(4):677–689. https://doi.org/10.1016/j.cell.2006.06.04410.1016/j.cell.2006.06.044 ↗
17. Franck C, Hong S, Maskarinec SA, Tirrell DA, Ravichandran G (2007) Three-dimensional full-field measurements of large deformations in soft materials using confocal microscopy and digital volume correlation. Exp Mech 47(3):427–438. https://doi.org/10.1007/s11340-007-9037-910.1007/s11340-007-9037-9 ↗
18. Geubelle PH, Knauss WG (1994) Finite strains at the tip of a crack in a sheet of hyperelastic material: I. Homogeneous case. J Elast 35:61–98. https://doi.org/10.1007/BF0011553910.1007/BF00115539 ↗
19. Gong JP (2010) Why are double network hydrogels so tough? Soft Matter 6(12):2583–2590. https://doi.org/10.1039/B924290B10.1039/B924290B ↗
20. Gong JP, Osada Y (2010) Soft and wet materials: from hydrogels to biotissues. In: Cloitre M (ed) High solid dispersions. Springer, Berlin, pp 203–246. https://doi.org/10.1007/12_2010_9110.1007/12_2010_91 ↗
21. Hui CY, Long R, Ning J (2013) Stress relaxation near the tip of a stationary mode I crack in a poroelastic solid. J Appl Mech 80(2):021014. https://doi.org/10.1115/1.400722810.1115/1.4007228 ↗
22. Krishnan VR, Hui CY, Long R (2008) Finite strain crack tip fields in soft incompressible elastic solids. Langmuir 24:14245–14253. https://doi.org/10.1021/la802795e10.1021/la802795e ↗
23. Long R, Hui CY (2016) Fracture toughness of hydrogels: measurement and interpretation. Soft Matter 12(39):8069–8086. https://doi.org/10.1039/C6SM01694D10.1039/C6SM01694D ↗
24. Moshayedi P, Ng G, Kwok JCF, Yeo GSH, Bryant CE, Fawcett JW, Franze K, Guck J (2014) The relationship between glial cell mechanosensitivity and foreign body reactions in the central nervous system. Biomaterials 35(13):3919–3925. https://doi.org/10.1016/j.biomaterials.2014.01.03810.1016/j.biomaterials.2014.01.038 ↗
25. Naficy S, Brown HR, Razal JM, Spinks GM, Whitten PG (2011) Progress toward robust polymer hydrogels. Aust J Chem 64(8):1007–102510.1071/CH11156 ↗
26. Nilsson F (2005) A tentative method for determination of cohesive zone properties in soft materials. Int J Fract 136(1):133–142. https://doi.org/10.1007/s10704-005-5125-y10.1007/s10704-005-5125-y ↗
27. Noselli G, Lucantonio A, McMeeking RM (2018) Poroelastic toughening in polymer gels: a theoretical and numerical study. J Mech Phys Solids 94:33–46. https://doi.org/10.1016/j.jmps.2016.04.01710.1016/j.jmps.2016.04.017 ↗
28. Notbohm J, Kim JH, Asthagiri AR, Ravichandran G (2012) Three-dimensional analysis of the effect of epidermal growth factor on cell-cell adhesion in epithelial cell clusters. Biophys J 102(6):1323–1330. https://doi.org/10.1016/j.bpj.2012.02.01610.1016/j.bpj.2012.02.016 ↗
29. Notbohm J, Lesman A, Tirrell DA, Ravichandran G (2015) Quantifying cell-induced matrix deformation in three dimensions based on imaging matrix fibers. Integr Biol 7(10):1186–1195. https://doi.org/10.1039/C5IB00013K10.1039/C5IB00013K ↗
30. Rice JR (1968) A path independent integral and the approximate analysis of strain concentration by notches and cracks. J Appl Mech 35(2):379–386. https://doi.org/10.1115/1.360120610.1115/1.3601206 ↗
31. Shih CF (1981) Relationships between the J-integral and the crack opening displacement for stationary and extending cracks. J Mech Phys Solids 29(4):305–326. https://doi.org/10.1016/0022-5096(81)90003-X10.1016/0022-5096(81)90003-X ↗
32. Sun CT, Jin ZH (2012) Chapter 6—Crack tip plasticity. In: Sun CT, Jin ZH (eds) Fracture mechanics. Academic Press, Boston, pp 123–169. https://doi.org/10.1016/B978-0-12-385001-0.00006-710.1016/B978-0-12-385001-0.00006-7 ↗
33. Sutton J, Schreier H, Orteu MA (2009) Image correlation for shape, motion and deformation measurements: basic concepts, theory and applications, 1st edn. Springer, Berlin. https://doi.org/10.1007/978-0-387-78747-310.1007/978-0-387-78747-3 ↗
34. Tanaka Y, Fukao K, Miyamoto Y (2000) Fracture energy of gels. Eur Phys J E 3(4):395–401. https://doi.org/10.1007/s10189007001010.1007/s101890070010 ↗
35. Tanaka Y, Shimazaki R, Yano S, Yoshida G, Yamaguchi T (2016) Solvent effects on the fracture of chemically crosslinked gels. Soft Matter 12(39):8135–8142. https://doi.org/10.1039/C6SM01645F10.1039/C6SM01645F ↗
36. Whang M, Kim J (2016) Synthetic hydrogels with stiffness gradients for durotaxis study and tissue engineering scaffolds. Tissue Eng Regener Med 13(2):126–139. https://doi.org/10.1007/s13770-016-0026-x10.1007/s13770-016-0026-x ↗
37. Yeung T, Georges PC, Flanagan LA, Marg B, Ortiz M, Funaki M, Zahir N, Ming W, Weaver V, Janmey PA (2005) Effects of substrate stiffness on cell morphology, cytoskeletal structure, and adhesion. Cell Motil 60(1):24–34. https://doi.org/10.1002/cm.2004110.1002/cm.20041 ↗
38. Yew CH (1997) Chapter 1–Fracturing of a wellbore and 2-D fracture models. Mechanics of hydraulic fracturing. Gulf Professional Publishing, Houston, pp 1–29. https://doi.org/10.1016/B978-088415474-7/50013-010.1016/B978-088415474-7/50013-0 ↗
39. Yu Y, Landis CM, Huang R (2018a) Steady-state crack growth in polymer gels: a linear poroelastic analysis. J Mech Phys Solids 118:15–3910.1016/j.jmps.2018.05.008 ↗
40. Yu Y, Bouklas N, Landis CM, Huang R (2018b) A Linear poroelastic analysis of time-dependent crack-tip fields in polymer gels. J Appl Mech 85(11):111011. https://doi.org/10.1115/1.404104010.1115/1.4041040 ↗
41. Zhang R, He LF (2012) Measurement of mixed-mode stress intensity factors using digital image correlation method. Opt Lasers Eng 50(7):1001–1007. https://doi.org/10.1016/j.optlaseng.2012.01.00910.1016/j.optlaseng.2012.01.009 ↗
42. Zhu XK, Joyce JA (2012) Review of fracture toughness (G, K, J, CTOD, CTOA) testing and standardization. Eng Fract Mech 85:1–46. https://doi.org/10.1016/j.engfracmech.2012.02.00110.1016/j.engfracmech.2012.02.001 ↗