journal article·2023-08Open access

Experimental investigation of the alternate recurrence of quasi-static and dynamic crack propagation in PMMA

Raphael Heinzmann, Rian Seghir, Syed Yasir Alam, Julien Réthoré

International Journal of Fracture· Volume 242· Issue 2

Abstract

Abstract The alternate (stick-slip) cracking phenomenon in Poly(methyl methacrylate) (PMMA) was investigated using high-speed imaging and digital image correlation (DIC). PMMA is known to show a great variety of fracture behaviors by even small changes in loading conditions. With TDCB-shaped samples and under a range of constant extension rates, the phenomenon of alternate cracking is observed. Here, loops of successive quasi-static and dynamic crack propagations are found within a single fracture experiment suggesting a `forbidden' velocity regime. For the first time, such material/structural cyclic fracture behavior is examined through the lens of linear elastic fracture mechanics (LEFM) by using in-situ High-Speed (HS) DIC. Energy release rates and crack velocities during fracture experiments are derived from full-field measurements using Williams' series expansion. Fracture surfaces of post-mortem samples have been systematically analyzed using optical microscopy. The investigation of the actual limits of the `forbidden' velocity regime in terms of critical velocity and energy release rate in relation to post-mortem crack length features is achieved by holistic experimental data on alternate cracking. This work provides key experimental data regarding the improved understanding of a unified theoretical framework of crack instabilities.
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Research context

OpenAlex topics: Ultrasonics and Acoustic Wave Propagation · Rock Mechanics and Modeling · Fatigue and fracture mechanics

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References (39)

Show source-provided references
1. Ali U, Karim KJBA, Buang NA (2015) A review of the properties and applications of poly (Methyl Methacrylate) (PMMA). Polym Rev 55(4):678–705. https://doi.org/10.1080/15583724.2015.103137710.1080/15583724.2015.1031377 ↗
2. Atkins AG, Lee CS, Caddell RM (1975) Time-temperature dependent fracture toughness of PMMA: Part 1. J Mater Sci 10(8):1381–1393. https://doi.org/10.1007/BF0054082910.1007/BF00540829 ↗
3. Atkins AG, Lee CS, Caddell RM (1975) Time-temperature dependent fracture toughness of PMMA: Part 2. J Mater Sci 10(8):1394–1404. https://doi.org/10.1007/BF0054083010.1007/BF00540830 ↗
4. Beaumont PWR, Young RJ (1975) Failure of brittle polymers by slow crack growth: Part 1 Crack propagation in polymethylmethacrylate and time-to-failure predictions. J Mater Sci 10(8):1334–1342. https://doi.org/10.1007/BF0054082310.1007/BF00540823 ↗
5. Beinert J, Kalthoff JF (1981) Experimental determination of dynamic stress intensity factors by shadow patterns. In: Sih GC (ed) Experimental evaluation of stress concentration and intensity factors. Springer, Dordrecht, pp 281–330. https://doi.org/10.1007/978-94-009-8337-3_510.1007/978-94-009-8337-3_5 ↗
6. Besnard G, Hild F, Roux S (2006) “Finite-Element” displacement fields analysis from digital images: application to Portevin-Le Châtelier bands. Exp Mech 46(6):789–803. https://doi.org/10.1007/s11340-006-9824-810.1007/s11340-006-9824-8 ↗
7. Bonamy D, Ravi-Chandar K (2003) Interaction of shear waves and propagating cracks. Phys Rev Lett 91(23):235502. https://doi.org/10.1103/PhysRevLett.91.23550210.1103/PhysRevLett.91.235502 ↗
8. Dally JW, Fourney WL, Irwin GR (1985) On the uniqueness of the stress intensity factor–crack velocity relationship. Int J Fract 27(3–4):159–168. https://doi.org/10.1007/BF0001796510.1007/BF00017965 ↗
9. Dalmas D, Guerra C, Scheibert J, Bonamy D (2013) Damage mechanisms in the dynamic fracture of nominally brittle polymers. Int J Fract 184(1–2):93–111. https://doi.org/10.1007/s10704-013-9839-y10.1007/s10704-013-9839-y ↗
10. Feeny B, Guran A, Hinrichs N, Popp K (1998) A historical review on dry friction and stick-slip phenomena. Appl Mech Rev 51(5):321–341. https://doi.org/10.1115/1.309900810.1115/1.3099008 ↗
11. Grégoire D (2008) Initiation, propagation, arrêt et redémarrage de fissures sous impact. Mécanique, INSA de Lyon. https://theses.hal.science/tel-00418626/
12. Grégoire D, Maigre H, Combescure A (2009) New experimental and numerical techniques to study the arrest and the restart of a crack under impact in transparent materials. Int J Solids Struct 46(18–19):3480–3491. https://doi.org/10.1016/j.ijsolstr.2009.06.00310.1016/j.ijsolstr.2009.06.003 ↗
13. Griffith AA (1921) VI. The phenomena of rupture and flow in solids. Phil Trans R Soc Lond A 221(582–593):163–198. https://doi.org/10.1098/rsta.1921.000610.1098/rsta.1921.0006 ↗
14. Guerra C, Scheibert J, Bonamy D, Dalmas D (2012) Understanding fast macroscale fracture from microcrack post mortem patterns. Proc Natl Acad Sci USA 109(2):390–394. https://doi.org/10.1073/pnas.111320510910.1073/pnas.1113205109 ↗
15. Hattali M, Barés J, Ponson L, Bonamy D (2012) Low velocity surface fracture patterns in brittle material: a newly evidenced mechanical instability. MSF 706–709:920–924. https://doi.org/10.4028/www.scientific.net/MSF.706-709.92010.4028/www.scientific.net/MSF.706-709.920 ↗
16. Isherwood D, Williams J (1978) Some observations on the tearing of ductile materials. Eng Fract Mech 10(4):887–895. https://doi.org/10.1016/0013-7944(78)90042-510.1016/0013-7944(78)90042-5 ↗
17. Kanninen MF, Popelar CH (1985) Advanced fracture mechanics. No. 15 in Oxford engineering science series. Oxford University Press, New York
18. Lee D, Tippur H, Bogert P (2010) Quasi-static and dynamic fracture of graphite/epoxy composites: an optical study of loading-rate effects. Compos Part B: Eng 41(6):462–474. https://doi.org/10.1016/j.compositesb.2010.05.00710.1016/j.compositesb.2010.05.007 ↗
19. Leevers P (1986) Crack front shape effects on propagation stability in thermosetting polyesters. Theor Appl Fract Mech 6(1):45–55. https://doi.org/10.1016/0167-8442(86)90049-210.1016/0167-8442(86)90049-2 ↗
20. Marshall GP, Coutts LH, Williams JG (1974) Temperature effects in the fracture of PMMA. J Mater Sci 9(9):1409–1419. https://doi.org/10.1007/BF0055292610.1007/BF00552926 ↗
21. Maugis D, Barquins M (1988) Stick-slip and peeling of adhesive tapes. In: Allen KW (ed) Adhesion 12. Springer, Dordrecht, pp 205–222. https://doi.org/10.1007/978-94-009-1349-3_1410.1007/978-94-009-1349-3_14 ↗
22. Miller O, Freund LB, Needleman A (1999) Energy dissipation in dynamic fracture of brittle materials. Model Simul Mater Sci Eng 7(4):573–586. https://doi.org/10.1088/0965-0393/7/4/30710.1088/0965-0393/7/4/307 ↗
23. Ravi-Chandar K, Balzano M (1988) On the mechanics and mechanisms of crack growth in polymeric materials. Eng Fract Mech 30(5):713–727. https://doi.org/10.1016/0013-7944(88)90161-010.1016/0013-7944(88)90161-0 ↗
24. Ravi-Chandar K, Yang B (1997) On the role of microcracks in the dynamic fracture of brittle materials. J Mech Phys Solids 45(4):535–563. https://doi.org/10.1016/S0022-5096(96)00096-810.1016/S0022-5096(96)00096-8 ↗
25. Réthoré J (2018). UFreckles
26. Réthoré J (2015) Automatic crack tip detection and stress intensity factors estimation of curved cracks from digital images: automatic crack tip detection and SIF estimation of curved cracks. Int J Numer Methods Eng 103(7):516–534. https://doi.org/10.1002/nme.490510.1002/nme.4905 ↗
27. Réthoré J, Roux S, Hild F (2011) Optimal and noise-robust extraction of fracture mechanics parameters from kinematic measurements. Eng Fract Mech 78(9):1827–1845. https://doi.org/10.1016/j.engfracmech.2011.01.01210.1016/j.engfracmech.2011.01.012 ↗
28. Rohatgi A (2022) Webplotdigitizer: Version 4.6. https://github.com/ankitrohatgi/WebPlotDigitizer
29. Roux S, Hild F (2006) Stress intensity factor measurements from digital image correlation: post-processing and integrated approaches. Int J Fract 140(1–4):141–15710.1007/s10704-006-6631-2 ↗
30. Roux-Langlois C, Gravouil A, Baietto MC, Réthoré J, Mathieu F, Hild F, Roux S (2015) DIC identification and X-FEM simulation of fatigue crack growth based on the Williams’ series. Int J Solids Struct 53:38–47. https://doi.org/10.1016/j.ijsolstr.2014.10.02610.1016/j.ijsolstr.2014.10.026 ↗
31. Scheibert J, Guerra C, Célarié F, Dalmas D, Bonamy D (2010) Brittle-Quasibrittle transition in dynamic fracture: an energetic signature. Phys Rev Lett 104(4):045501. https://doi.org/10.1103/PhysRevLett.104.04550110.1103/PhysRevLett.104.045501 ↗
32. Vasudevan AV (2018) Deciphering triangular fracture patterns in PMMA : how crack fragments in mixed mode loading. PhD thesis, Sorbonne University. https://tel.archives-ouvertes.fr/tel-02180510
33. Vasudevan A, Grabois TM, Cordeiro GC, Morel S, Filho RDT, Ponson L (2021) Adaptation of the tapered double cantilever beam test for the measurement of fracture energy and its variations with crack speed. arXiv preprint arXiv:2101.04380
34. Vincent-Dospital T, Toussaint R, Santucci S, Vanel L, Bonamy D, Hattali L, Cochard A, Flekkøy EG, Måløy KJ (2020) How heat controls fracture: the thermodynamics of creeping and avalanching cracks. Soft Matter 16(41):9590–9602. https://doi.org/10.1039/D0SM01062F10.1039/D0SM01062F ↗
35. Vinel A, Seghir R, Berthe J, Portemont G, Réthoré J (2021) Metrological assessment of multi-sensor camera technology for spatially-resolved ultra-high-speed imaging of transient high strain-rate deformation processes. Strain 57(4):e12381. https://doi.org/10.1111/str.1238110.1111/str.12381 ↗
36. Wang P-P, Lee S, Harmon JP (1994) Ethanol-induced crack healing in poly(methylmethacrylate). J Polym Sci B Polym Phys 32(7):1217–1227. https://doi.org/10.1002/polb.1994.09032070910.1002/polb.1994.090320709 ↗
37. Wallner H (1939) H. Wallner. Z Phys 114:36810.1007/BF01337002 ↗
38. Williams ML (1957) On the stress distribution at the base of a stationary crack. J Appl Mech 24(1):109–114. https://doi.org/10.1115/1.401145410.1115/1.4011454 ↗
39. Yamini S, Young R (1977) Stability of crack propagation in epoxy resins. Polymer 18(10):1075–1080. https://doi.org/10.1016/0032-3861(77)90016-710.1016/0032-3861(77)90016-7 ↗