Laboratory Study of the Fracturing Process in Marble and Plaster Hollow Plates Subjected to Uniaxial Compression by Combined Acoustic Emission and Digital Image Correlation Techniques
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Abstract
Hollow plates of plaster and calcitic and dolomitic marbles, extracted from greek quarries, with a single pre-existing cylindrical hole of various diameters are subjected in uniaxial compression. The influence of the material and the hole’s diameter on the fracturing process are studied and compared to the literature. Full-field digital image correlation technique and acoustic emission analysis are employed for the monitoring of the fracturing process, the initiation of the main phenomena, their interaction, and the failure mode of the physical models. New precise techniques on the determination of the true time of the primary fracture and spalling initiation by digital image correlation are implemented and presented. The study highlights a new behavioural type of such physical models, with different fracture patterns than those presented in the literature. A comparison between the required applied axial stress for the primary fracture and spalling initiation of the studied materials and the previously published results is presented, showing an exponential relation to the hole’s diameter.
Keywords
Rock fracture Primary fracture initiation Spalling Physical modelling Digital image correlation Acoustic emissionNotes
Compliance with Ethical Standards
Conflict of interest
The authors declare that they have no conflict of interest.
References
- Babulic PJ (1985) Fracture propagation around a circular opening in granite. BSc thesisGoogle Scholar
- Bieniawski ZT (1967) Mechanism of brittle fracture of rock: part I-theory of the fracture process. Int J Rock Mech Min Sci Geomech Abstr 4(4):395–404. https://doi.org/10.1016/0148-9062(67)90030-7 CrossRefGoogle Scholar
- Brace WF, Paulding BW Jr, Scholz C (1966) Dilatancy in the fracture of crystalline rocks. J Geophys Res 71(16):3939–3953. https://doi.org/10.1029/JZ071i016p03939 CrossRefGoogle Scholar
- Carter BJ (1992a) Size and stress gradient effects on fracture around cavities. Rock Mech Rock Eng 25(3):167–186CrossRefGoogle Scholar
- Carter BZ (1992b) Physical and numerical modeling of fracture in rock: with special emphasis on the potash mines of Saskatchewan. PhD thesisGoogle Scholar
- Carter BJ, Lajtai EZ, Petukhov A (1991) Primary and remote fracture around underground cavities. Int J Numer Anal Meth Geomech 15:21–40CrossRefGoogle Scholar
- Carter BJ, Lajtai EZ, Yuan Y (1992) Tensile fracture from circular cavities loaded in compression. Int J Fract 57:221–236Google Scholar
- Chatzipanagis I, Vougioukas D (2004) The significance of the lithostratigrafhic position and the tectonic deformation for the location and the exploitation of the dolomitic marbles of Falacron Mountain. Proceedings of the 10th International Congress, pp. 63–71Google Scholar
- Dzik EJ, Lajtai EZ (1996) Primary fracture propagation from circular cavities loaded in compression. Int J Fract 79:49–64CrossRefGoogle Scholar
- Fredrich JT, Evans B, Wong T-F (1989) Micromechanics of the brittle to plastic transition in Carrara marble. J Geophys Res Solid Earth 94:4129–4145. https://doi.org/10.1029/JB094iB04p04129 CrossRefGoogle Scholar
- GOM (2018) GOM correlate 2018—user manualGoogle Scholar
- Gramberg J (1989) A non-conventional view on rock mechanics and fracture mechanism. A.A. Balkema, RotterdamGoogle Scholar
- Hoek E, Martin DC (2014) Fracture initiation and propagation in intact rock: a review. J Rock Mech Geotech Eng 6(4):287–300. https://doi.org/10.1016/j.jrmge.2014.06.001 CrossRefGoogle Scholar
- ISRM (1978) Suggested methods for determining tensile strength of rock materials. Int J Rock Mech Min Sci Geomech Abstr 15(3):99–103. https://doi.org/10.1016/0148-9062(78)90003-7 CrossRefGoogle Scholar
- Jaeger JC, Cook NGW, Zimmerman R (2007) Fundamentals of rock mechanics, 4th edn. Blackwell Publishing, HobokenGoogle Scholar
- Kranz RL (1983) Microcracks in rocks: a review. Tectonophysics 100(1–3):449–480. https://doi.org/10.1016/0040-1951(83)90198-1 CrossRefGoogle Scholar
- Lajtai EZ (1971) A theoretical and experimental evaluation of the Griffith theory of brittle fracture. Tectonophysics 11:129–156CrossRefGoogle Scholar
- Lajtai EZ (1972) Effect of tensile stress gradient on brittle fracture initiation. Int J Rock Mech Min Sci 9:569–578CrossRefGoogle Scholar
- Lajtai EZ (1974) Brittle fracture in compression. Int J Fract 10:525–536CrossRefGoogle Scholar
- Lajtai EZ, Lajtai VN (1975) The collapse of cavities. Int J Rock Mech Min Sci Geomech Abstr 12(4):81–86CrossRefGoogle Scholar
- Lajtai EZ, Carter BJ, Duncan SEJ (1994) En echelon crack-arrays in potash salt rock. Rock Mech Rock Eng 27(2):89–111. https://doi.org/10.1007/BF01020207 CrossRefGoogle Scholar
- Lin P, Wong RHC, Tang C (2015) Experimental study of coalescence mechanisms and failure under uniaxial compression of granite containing multiple holes. Int J Rock Mech Min Sci 77:313–327. https://doi.org/10.1016/j.ijrmms.2015.04.017 CrossRefGoogle Scholar
- Lotidis MA (2014) The approach of synthetic rock mass for the numerical simulation of the brittle rocks’ failure around underground openings. MEng thesis, School of Mining and Metallurgical Engineering, National Technical University of Athens, Athens, GreeceGoogle Scholar
- Lotidis MA, Nomikos PP, Sofianos AI (2015) A numerical investigation of rock fracture around cavities in compression. Eurock 2015: Future Development of Rock Mechanics, pp. 719–724Google Scholar
- Martin CD (1993) The strength of massive Lac du Bonnet granite around underground openings. PhD thesis, University of Manitoba, Winnipeg, Manitoba, CanadaGoogle Scholar
- Martin DC, Chandler NA (1994) The progressive fracture of Lac du Bonnet granite. Int Rock Mech Min Sci Geomech Abstr 31(6):643–659CrossRefGoogle Scholar
- Mistras Group Hellas (2017) Noesis v8.1—manualGoogle Scholar
- Murrell SAF (1964) The theory of the propagation of elliptical Griffith cracks under various conditions of plane strain or plane stress: part I. Br J Appl Phys 15:1195–1210. https://doi.org/10.1088/0508-3443/15/10/308/pdf CrossRefGoogle Scholar
- Nesetova V, Lajtai EZ (1973) Fracture from compressive stress concentrations around elastic flaws. Int J Rock Mech Min Sci 10:265–284CrossRefGoogle Scholar
- PAC (2009) AE Win—manualGoogle Scholar
- Schubnel A, Walker E, Thompson BD, Fortin J, Guéguen Y, Young RP (2006) Transient creep, aseismic damage and slow failure in Carrara marble deformed across the brittle-ductile transition. Geophys Res Lett 33(7):L17301. https://doi.org/10.1029/2006GL026619 CrossRefGoogle Scholar
- Suknev SV, Elshin VK, Novopashin MD (2003) Experimental investigation into processes of crack formation in rock samples with hole. J Min Sci 39(5):460–466CrossRefGoogle Scholar
- Vajdova V, Baud P, Wong T-F (2004) Compaction, dilatancy, and failure in porous carbonate rocks. J Geophys Res: Solid Earth 109:B05204. https://doi.org/10.1029/2003JB002508 CrossRefGoogle Scholar
- Wong LNY, Einstein HH (2009a) Crack coalescence in molded gypsum and Carrara marble: part 1. Macroscopic observations and interpretation. Rock Mech Rock Eng 42:475–511. https://doi.org/10.1007/s00603-008-0002-4 CrossRefGoogle Scholar
- Wong LNY, Einstein HH (2009b) Crack coalescence in molded gypsum and Carrara marble: part 2-Microscopic observations and interpretation. Rock Mech Rock Eng 42:513–545. https://doi.org/10.1007/s00603-008-0003-3 CrossRefGoogle Scholar