journal article·2021-05

Dynamic fracture analysis in Brazilian test: application to pharmaceutical tablets

B. Croquelois, J. B. Kopp, J. Girardot, P. Tchoreloff, V. Mazel

International Journal of Fracture· Volume 229· Issue 1
Publisher page

Abstract

In this paper, the flattened disk Brazilian test was used to evaluate the critical fracture parameter of a pharmaceutical tablet made of compressed anhydrous lactose powder. Following previous works, the energy release rate function was build thanks to experimental tests and numerical simulations. During the experimental tests, a high speed camera was used to capture the crack tip location during the dynamic propagation and Rapid Crack Propagation mechanisms were observed. A numerical analysis was thus used to evaluate the dynamic correction factor needed to take into account the inertia effects due to the crack tip velocity. The results were then compared to those obtained with the classical analytic relation related to a crack propagation in a semi-infinite plate. After giving a range of fracture energy for the material, the necessity to take into account inertia effects in the estimate of the fracture energy of the material was finally discussed in the case of the Brazilian test.
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Research context

OpenAlex topics: Material Properties and Processing · Fatigue and fracture mechanics · Metal Forming Simulation Techniques

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References (56)

Show source-provided references
1. Aulton ME, Taylor KMG (2013) Aulton’s pharmaceutics: the design and manufacture of medicines, 4th edn. Elsevier, Churchill Livingstone
2. Beguelin P, Fond C, Kausch H (1998) The influence of inertial effects on the fracture of rapidly loaded compact tension specimens part a: loading and fracture initiation. Int J Fract 89:85–10210.1023/A:1007457914776 ↗
3. Broberg KB (1960) The propagation of a brittle crack. Arkiv Fysik 18:159–192
4. Brückner-Foit A, Fett T, Munz D, Schirmer K (1997) Discrimination of multiaxiality criteria with the Brazilian disc test. J Eur Ceram Soc 17:689–69610.1016/S0955-2219(96)00085-4 ↗
5. Busignies V (2005) Recherche de lois de mélange sur des propriétés mécaniques de systèmes granulaires compactés. phd, Université Paris XI - Faculté de pharmacie de Châtenay-Malabry
6. Busignies V, Tchoreloff P, Leclerc B, Hersen C, Keller G, Couarraze G (2004) Compaction of crystallographic forms of pharmaceutical granular lactoses. II. compacts mechanical properties. Eur J Pharm Biopharm 58(3):577–58610.1016/j.ejpb.2004.04.005 ↗
7. Carneiro FLLB (1943) A new method to determine the tensile strength of concrete. In: Proceedings of the 5th meeting of the Brazilian Association for technical rules (in Portuguese), pp 126–129
8. Combescure A, Gravouil A, Grégoire D, Réthoré J (2008) X-FEM a good candidate for energy conservation in simulation of brittle dynamic crack propagation. Comput Methods Appl Mech Eng 197:309–31810.1016/j.cma.2007.04.011 ↗
9. Coré A, Kopp JB, Girardot J, Viot P (2018) Study of the dynamic fracture of hollow spheres under compression using the Discrete Element Method. Proc Struct Integr 13:1378–1383
10. Coré A, Kopp J-B, Girardot J, Viot P (2018) Dynamic energy release rate evaluation of rapid crack propagation in discrete element analysis. Int J Fract 214:17–2810.1007/s10704-018-0314-7 ↗
11. Croquelois B, Girardot J, Kopp JB, Cazautets C, Tchoreloff P, Mazel V (2017) Breaking pharmaceutical tablets with a hole: reevaluation of the stress concentration factor and influence of the hole size. Powder Technol 317:126–13210.1016/j.powtec.2017.04.033 ↗
12. Fairbairn EMR, Ulm FJ (2002) A tribute to Fernando L. L. B. Carneiro (1913–2001) engineer and scientist who invented the Brazilian test. Mater Struct 35:195–196
13. Fairhurst C (1964) On the validity of the ‘Brazilian’ test for brittle materials. Int J Rock Mech Min Sci Geomech Abstracts 1:535–54610.1016/0148-9062(64)90060-9 ↗
14. Fell JT, Newton JM (1968) The tensile strength of lactose tablets. J Pharm Pharmacol 20:657–65910.1111/j.2042-7158.1968.tb09832.x ↗
15. Fell JT, Newton JM (1970) Determination of tablet strength by the diametral-compression test. J Pharm Sci 59:688–69110.1002/jps.2600590523 ↗
16. Ferrer JB, Fond C, Arakawa K, Takahashi K, Béguelin P, Kausch HH (1998) The influence of crack acceleration on the dynamic stress intensity factor during rapid crack propagation, p 6
17. Fischer MP, Alley RB, Engelder T (1995) Fracture toughness of ice and firn determined from the modified ring test. J Glaciol 41(138):383–39410.1017/S0022143000016257 ↗
18. Fond C, Schirrer R (2001) Dynamic fracture surface energy values and branching instabilities during rapid crack propagation in rubber toughened PMMA. Comptes Rendus Acad Sci Ser IIB Mech 329:195–200
19. Fond C, Schirrer R (2001) Influence of crack speed on fracture energy in amorphous and rubber toughened amorphous polymers. Plast Rubber Compos 30:116–12410.1179/146580101101541525 ↗
20. Gong X, Sun CC (2015) A new tablet brittleness index. Eur J Pharm Biopharm 93:260–26610.1016/j.ejpb.2015.04.007 ↗
21. Hiestand EN, Wells JE, Peot CB, Ochs JF (1977) Physical processes of tableting. J Pharm Sci 66:510–51910.1002/jps.2600660413 ↗
22. Imbert C, Tchoreloff P, Leclerc B, Couarraze G (1997) Indices of tableting performance and application of percolation theory to powder compaction. Eur J Pharm Biopharm 44:273–28210.1016/S0939-6411(97)00134-3 ↗
23. Itiola OA, Pilpel N (1991) Formulation effects on the mechanical properties of metronidazole tablets. J Pharm Pharmacol 43:145–14710.1111/j.2042-7158.1991.tb06655.x ↗
24. Kalthoff JF (1985) On the measurement of dynamic fracture toughnesses: a review of recent work. Int J Fract 27:277–29810.1007/BF00017973 ↗
25. Kobayashi AS, Mall S, Urabe Y, Emery AF (1977) A numerical dynamic fracture analyses of three wedge-loaded DCB specimens. Tech. Rep. TR-29, Washington Univ Seattle Dept of Mechanical Engineering
26. Kopp J-B, Lin J, Schmittbuhl J, Fond C (2014) Longitudinal dynamic fracture of polymer pipes. Eur J Environ Civil Eng 18:1097–1105
27. Kopp J-B, Schmittbuhl J, Noel O, Lin J, Fond C (2014) Fluctuations of the dynamic fracture energy values related to the amount of created fracture surface. Eng Fract Mech 126:178–18910.1016/j.engfracmech.2014.05.014 ↗
28. Kopp J-B, Fond C, Hochstetter G (2018) Rapid crack propagation in PA11: an application to pipe structure. Eng Fract Mech 202:445–45710.1016/j.engfracmech.2018.08.025 ↗
29. Li D, Wong LNY (2013) The Brazilian disc test for rock mechanics applications: review and new insights. Rock Mech Rock Eng 46:269–28710.1007/s00603-012-0257-7 ↗
30. Mashadi AB, Newton JM (1987) The characterization of the mechanical properties of microcrystalline cellulose: a fracture mechanics approach. J Pharm Pharmacol 39(12):961–96510.1111/j.2042-7158.1987.tb03141.x ↗
31. Mashadi AB, Newton JM (1988) Determination of the critical stress intensity factor (KIC) of compacted pharmaceutical powders by the double torsion method. J Pharm Pharmacol 40(9):597–60010.1111/j.2042-7158.1988.tb05316.x ↗
32. Mazel V, Busignies V, Diarra H, Tchoreloff P (2012) Measurements of elastic moduli of pharmaceutical compacts: a new methodology using double compaction on a compaction simulator. J Pharm Sci 101:2220–222810.1002/jps.23122 ↗
33. Mazel V, Guerard S, Croquelois B, Kopp JB, Girardot J, Diarra H, Busignies V, Tchoreloff P (2016) Reevaluation of the diametral compression test for tablets using the flattened disc geometry. Int J Pharm 513:669–67710.1016/j.ijpharm.2016.09.088 ↗
34. Nishioka T (1997) Computational dynamic fracture mechanics. Int J Fract 86:127–15910.1023/A:1007376924191 ↗
35. Pettersson B, Podczeck F, Newton JM (1997) Fracture mechanics of model granulation systems. Pharm Pharmacol Commun 3(7):329–331
36. Podczeck F (2001) Investigations into the fracture mechanics of acetylsalicylic acid and lactose monohydrate. J Mater Sci 36:4687–469310.1023/A:1017910617762 ↗
37. Podczeck F (2007) Investigations into the mechanical strength anisotropy of Sorbitol Instant compacts made by uniaxial compression. Adv Powder Technol 18:361–37910.1163/156855207781389465 ↗
38. Podczeck F, Newton JM (2003) The implications of the determination of the mechanical strength of powder compacts containing a pre-formed hole. Powder Technol 132:10–1510.1016/S0032-5910(02)00336-4 ↗
39. Réthoré J, Gravouil A, Combescure A (2007) Prise en compte de discontinuités en espace et en temps par la méthode des elements finis étendus. Eur J Comput Mech 16:827–84310.3166/remn.16.827-843 ↗
40. Roberts RJ, Rowe RC (1986) Brittle fracture propensity measurements on ‘tablet-sized’ cylindrical compacts. J Pharm Pharmacol 38(7):526–52810.1111/j.2042-7158.1986.tb04628.x ↗
41. Roberts RJ, Rowe RC (1989) Determination of the critical stress intensity factor (KIC) of microcrystalline cellulose using radially edge-cracked tablets. Int J Pharm 52:213–21910.1016/0378-5173(89)90222-6 ↗
42. Roberts RJ, Rowe RC, York P (1993) The measurement of the critical stress intensity factor (KIC) of pharmaceutical powders using three point single edge notched beam (SENB) testing. Int J Pharm 91:173–18210.1016/0378-5173(93)90337-F ↗
43. Song J-H, Wang H, Belytschko T (2008) A comparative study on finite element methods for dynamic fracture. Comput Mech 42:239–25010.1007/s00466-007-0210-x ↗
44. Sun CC (2017) Microstructure of tablet-pharmaceutical significance, assessment, and engineering. Pharm Res 34:918–92810.1007/s11095-016-1989-y ↗
45. Swenson DV, Ingraffea AR (1988) Modeling mixed-mode dynamic crack propagation nsing finite elements: Theory and applications. Comput Mech 3:381–39710.1007/BF00301139 ↗
46. Thiercelin M, Roegiers JC (1988) Fracture toughness determination with the modified ring test. In: L Chengxiang, Y Ling (eds) Proceedings of the international symposium on engineering in complex rock formations, pp 284–290, Pergamon10.1016/B978-0-08-035894-9.50041-X ↗
47. Tutluoglu L, Keles C (2012) Effects of geometric factors on mode I fracture toughness for modified ring tests. Int J Rock Mech Min Sci 51:149–16110.1016/j.ijrmms.2012.02.004 ↗
48. Wang Q-Z, Xing L (1999) Determination of fracture toughness KIC by using the flattened Brazilian disk specimen for rocks. Eng Fract Mech 64:193–20110.1016/S0013-7944(99)00065-X ↗
49. Wang QZ, Jia XM, Kou SQ, Zhang ZX, Lindqvist PA (2004) The flattened Brazilian disc specimen used for testing elastic modulus, tensile strength and fracture toughness of brittle rocks: analytical and numerical results. Int J Rock Mech Min Sci 41:245–25310.1016/S1365-1609(03)00093-5 ↗
50. Westermarck S, Juppo AM, Kervinen L, Yliruusi J (1999) Microcrystalline cellulose and its microstructure in pharmaceutical processing. Eur J Pharm Biopharm 48:199–20610.1016/S0939-6411(99)00051-X ↗
51. Wu C-Y, Best SM, Bentham AC, Hancock BC, Bonfield W (2005) A simple predictive model for the tensile strength of binary tablets. Eur J Pharm Sci 25:331–33610.1016/j.ejps.2005.03.004 ↗
52. Yagawa G, Sakai Y, Ando Y (1977) Analysis of a rapidly propagating crack using finite elements. Fast fracture and crack arrest10.1520/STP27383S ↗
53. Yoffe EH (1951) The moving Griffith crack. Lond Edinbur Dublin Philosoph Mag J Sci 42:739–75010.1080/14786445108561302 ↗
54. York P, Bassam F, Rowe RC, Roberts RJ (1990) Fracture mechanics of microcrystalline cellulose powders. Int J Pharm 66:143–14810.1016/0378-5173(90)90393-I ↗
55. Zhou F, Molinari J-F, Shioya T (2005) A rate-dependent cohesive model for simulating dynamic crack propagation in brittle materials. Eng Fract Mech 72:1383–141010.1016/j.engfracmech.2004.10.011 ↗
56. Zhu X-K, Joyce JA (2012) Review of fracture toughness (G, K, J, CTOD, CTOA) testing and standardization. Eng Fract Mech 85:1–4610.1016/j.engfracmech.2012.02.001 ↗