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Experimental Investigation of Dynamic Fracture Patterns of 3D Printed Rock-like Material Under Impact with Digital Image Correlation

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Abstract

This paper presents the results of an experimental study on the dynamic fracture behaviour of 3D printed rock-like disc specimens with various pre-existing flaw configurations under high strain rate loading. The 3D printing technology is utilized to prepare disc specimens containing a single or a pair of unfilled or filled flaws. A split Hopkinson pressure bar is employed to generate high rate loading on the specimens, while the digital image correlation (DIC) technique is adopted to determine the type of new cracks, and their initiation, propagation paths and coalescence types. The results show that the dynamic strengths of the 3D printed specimens are higher than the quasi-static ones. When under high strain rate loading, not only can the specimens with filled flaws carry more load than the corresponding specimens with an unfilled flaw, but also their cracking pattern is different as compared to the unfilled flaw counterpart. It is interesting to note that the dynamic peak loads are not dependent on the flaw inclination angle, while the quasi-static peak loads show obvious flaw inclination angle dependence. Moreover, DIC results reveal that under some specific flaw configurations, the filling material undergoes shear strain concentration and a shear band develops inside the filled flaws. Overall this study confirms the strong effects of the flaw configurations and filling material on the deformation and crack patterns of the 3D printed rock-like materials under impact loading.

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Abbreviations

\(\varepsilon (t)\) :

Dynamic strain in the specimen

P1(t):

Dynamic load at the incident bar/specimen interface

P2(t):

Dynamic load at the transmitted bar/specimen interface

C 0 :

Elastic wave velocity in the bar

L :

Length of the cylindrical specimen

εR(t):

Reflected strain pulse

εI(t):

Incident strain pulse

εT(t):

Transmitted strain pulse

A 0 :

Cross-section area of the bar

E :

Elastic modulus of the bar

\(\dot{\varepsilon }(t)\) :

Strain rate in the specimen

References

  • 3D Systems Inc (2013) Safety data sheet: VisiJet PXL Core. https://infocenter.3dsystems.com/materials/sites/default/files/sds-files/professional/22-83101-s12-01-asds_ghsenglish-australiavisijet_pxl_colors.pdf.

  • Aliabadian Z, Zhao GF, Russell AR (2019a) Failure, crack initiation and the tensile strength of transversely isotropic rock using the Brazilian test. Int J Rock Mech Min Sci. https://doi.org/10.1016/j.ijrmms.2019.104073

    Article  Google Scholar 

  • Aliabadian Z, Zhao GF, Russell AR (2019b) Crack development in transversely isotropic sandstone discs subjected to Brazilian tests observed using digital image correlation. Int J Rock Mech Min Sci 119:211–221

    Google Scholar 

  • Bobet A, Einstein HH (1998) Fracture coalescence in rock-type materials under uniaxial and biaxial compression. Int J Rock Mech Min Sci 35(7):863–888

    Google Scholar 

  • Cui ZD, Liu DA, An GM, Sun B, Zhou M, Cao FQ (2010) A comparison of two ISRM suggested chevron notched specimens for testing mode-I rock fracture toughness. Int J Rock Mech Min Sci 5(47):871–876

    Google Scholar 

  • Cusatis G (2011) Strain-rate effects on concrete behavior. Int J Impact Eng 38(4):162–170

    Google Scholar 

  • Dai F, Xia K, Zheng H, Wang YX (2011) Determination of dynamic rock mode-I fracture parameters using cracked chevron notched semi-circular bend specimen. Eng Fract Mech 78(15):2633–2644

    Google Scholar 

  • Fan X, Chen R, Lin H, Lai H, Zhang C, Zhao Q (2018) Cracking and failure in rock specimen containing combined flaw and hole under uniaxial compression. Adv Civ Eng, Article ID, p 9818250

    Google Scholar 

  • Fereshtenejad S, Song JJ (2016) Fundamental study on applicability of powder-based 3D printer for physical modeling in rock mechanics. Rock Mech Rock Eng 49(6):2065–2074

    Google Scholar 

  • Gao G, Yao W, Xia K, Li Z (2015a) Investigation of the rate dependence of fracture propagation in rocks using digital image correlation (DIC) method. Eng Fract Mech 138:146–155

    Google Scholar 

  • Gao G, Huang S, Xia K, Li Z (2015b) Application of digital image correlation (DIC) in dynamic notched semi-circular bend (NSCB) tests. Exp Mech 55(1):95–104

    Google Scholar 

  • Gell EM, Walley SM, Braithwaite CH (2019) Review of the Validity of the Use of Artificial Specimens for characterizing the Mechanical Properties of Rocks. Rock Mech Rock Eng. https://doi.org/10.1007/s00603-019-01787-8

    Article  Google Scholar 

  • Gomez JS, Chalaturnyk RJ, Zambrano-Narvaez G (2018) Experimental investigation of the mechanical behavior and permeability of 3D printed sandstone analogues under triaxial conditions. Transp Porous Media. https://doi.org/10.1007/s11242-018-1177-0

    Article  Google Scholar 

  • Haeri H, Sarfarazi V, Yazdani M, Shemirani AB, Hedayat A (2018) Experimental and numerical investigation of the center-cracked horseshoe disk method for determining the mode I fracture toughness of rock-like material. Rock Mech Rock Eng 51(1):173–185

    Google Scholar 

  • Han Z, Li D, Zhu Q, Liu M, Sun Z (2018) Dynamic fracture evolution and mechanical behavior of sandstone containing noncoplanar elliptical flaws under impact loading. Adv Civ Eng, Article ID 5649357, 16 pages. https://doi.org/10.1155/2018/5649357

  • Hucka V, Das B (1974) Brittleness determination of rocks by different methods. Int. J. Rock Mech. Min. Sci. Geomech. Abstr 11(10): 389–392.

  • Ishutov S, Jobe TD, Zhang S, Gonzalez M, Agar SM, Hasiuk FJ, Watson F, Geiger S, Mackay E, Chalaturnyk R (2018) Three-dimensional printing for geoscience: fundamental research, education, and applications for the petroleum industry. Am Assoc Pet Geol Bull 102(1):1–26

    Google Scholar 

  • Jiang C, Zhao GF, Zhu J, Zhao YX, Shen L (2016a) Investigation of dynamic crack coalescence using a gypsum-like 3D printing material. Rock Mech Rock Eng 49(10):3983–3998

    Google Scholar 

  • Jiang Q, Feng X, Song L, Gong Y, Zheng H, Cui J (2016b) Modeling rock specimens through 3D printing: Tentative experiments and prospects. Acta Mech Sinica 32(1):101–111

    Google Scholar 

  • Kalthoff JF, Bürgel A (2004) Influence of loading rate on shear fracture toughness for failure mode transition. Int J Impact Eng 30(8–9):957–971

    Google Scholar 

  • Kong L, Ostadhassan M, Liu B, Li C, Liu K (2018) Multifractal Characteristics of MIP-Based Pore Size Distribution of 3D-Printed Powder-Based Rocks: A Study of Post-Processing Effect. Transp Porous Media. https://doi.org/10.1007/s11242-018-1152-9

    Article  Google Scholar 

  • Li X, Zhou T, Li D (2017a) Dynamic strength and fracturing behavior of single-flawed prismatic marble specimens under impact loading with a split-hopkinson pressure bar. Rock Mech Rock Eng 50(1):29–44

    Google Scholar 

  • Li D, Zhu Q, Zhou Z, Li X, Ranjith PG (2017b) Fracture analysis of marble specimens with a hole under uniaxial compression by digital image correlation. Eng Fract Mech 183:109–124

    Google Scholar 

  • Li D, Han Z, Sun X, Zhou T, Li X (2019) Dynamic mechanical properties and fracturing behavior of marble specimens containing single and double flaws in SHPB tests. Rock Mech Rock Eng 52(6):1623–1643

    Google Scholar 

  • Lifshitz JM, Leber H (1994) Data processing in the split Hopkinson pressure bar tests. Int J Impact Eng 15(6):723–733

    Google Scholar 

  • Lin P, Wong RH, Tang CA (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

    Google Scholar 

  • Liu S, Cui Y, Chen Y, Guo C (2019) Numerical research on rock breaking by abrasive water jet-pick under confining pressure. Int J Roc Mech Min Sci 120:41–49

    Google Scholar 

  • Oh TM, Joo GW, Cho GC (2019) Effect of Abrasive Feed Rate on Rock Cutting Performance of Abrasive Waterjet. Rock Mech Rock Eng 52(9):3431–3442

    Google Scholar 

  • Pan B, Qian K, Xie H, Asundi A (2009) Two-dimensional digital image correlation for in-plane displacement and strain measurement: a revie w. Meas Sci Technol 20(6):062001

    Google Scholar 

  • Perras MA, Vogler D (2018) Compressive and Tensile Behavior of 3D-Printed and Natural Sandstones. Transp Porous Media. https://doi.org/10.1007/s11242-018-1153-8

    Article  Google Scholar 

  • Sharafisafa M, Shen L, Xu Q (2018) Characterisation of mechanical behaviour of 3D printed rock-like material with digital image correlation. Int J Rock Mech Min Sci 112:122–138

    Google Scholar 

  • Sharafisafa M, Shen L, Zheng Y, Xiao J (2019) The effect of flaw filling material on the compressive behaviour of 3D printed rock-like discs. Int J Rock Mech Min Sci 117:105–117

    Google Scholar 

  • Song B, Chen W (2005) Split Hopkinson pressure bar techniques for characterizing soft materials. Lat Am J Solids Stru 2(2):113–152

    Google Scholar 

  • Tian W, Han NV (2017) Mechanical properties of rock specimens containing pre-existing flaws with 3 D printed materials. Strain 53(6):e12240. https://doi.org/10.1111/str.12240

    Article  Google Scholar 

  • Vogler D, Walsh SD, Dombrovski E, Perras MA (2017) A comparison of tensile failure in 3D-printed and natural sandstone. Eng Geol 226:221–235

    Google Scholar 

  • Vrkljan I (2009) Rock Engineering in Difficult Ground Conditions-Soft Rocks and Karst. CRC Press.

  • Wang QZ, Li W, Song XL (2006) A method for testing dynamic tensile strength and elastic modulus of rock materials using SHPB. Pure Appl Geophys 163(5–6):1091–1100

    Google Scholar 

  • Weng L, Li X, Taheri A, Wu Q, Xie X (2018) Fracture evolution around a cavity in brittle rock under uniaxial compression and coupled static–dynamic loads. Rock Mech Rock Eng 51(2):531–545

    Google Scholar 

  • Wong LN, Einstein HH (2009) Systematic evaluation of cracking behavior in specimens containing single flaws under uniaxial compression. Int J Rock Mech Min Sci 46(2):239–249

    Google Scholar 

  • Wu Z, Zhang B, Weng L, Liu Q, Wong LNY (2019) A New Way to Replicate the Highly Stressed Soft Rock: 3D Printing Exploration. Rock Mech Rock Eng. https://doi.org/10.1007/s00603-019-01926-1

    Article  Google Scholar 

  • Yang SQ (2015) An experimental study on fracture coalescence characteristics of brittle sandstone specimens combined various flaws. Geomech Eng 8(4):541–557

    Google Scholar 

  • Yang SQ, Jing HW (2013) Evaluation on strength and deformation behavior of red sandstone under simple and complex loading paths. Eng Geol 164:1–7

    Google Scholar 

  • Yang SQ, Jiang YZ, Xu WY, Chen XQ (2008) Experimental investigation on strength and failure behavior of pre-cracked marble under conventional triaxial compression. Int J Solids Struct 45(17):4796–4819

    Google Scholar 

  • Yang SQ, Huang YH, Tian WL, Zhu JB (2017a) An experimental investigation on strength, deformation and crack evolution behavior of sandstone containing two oval flaws under uniaxial compression. Eng Geol 217:35–48

    Google Scholar 

  • Yang XX, Jing HW, Tang CA, Yang SQ (2017b) Effect of parallel joint interaction on mechanical behavior of jointed rock mass models. Int J Rock Mech Min Sci 92:40–53

    Google Scholar 

  • Zhang QB, Zhao J (2013a) Effect of loading rate on fracture toughness and failure micromechanisms in marble. Eng Fract Mech 102:288–309

    Google Scholar 

  • Zhang QB, Zhao J (2013b) Determination of mechanical properties and full-field strain measurements of rock material under dynamic loads. Int J Rock Mech Min Sci 60:423–439

    Google Scholar 

  • Zhang B, Li S, Zhang DF (2012) Uniaxial compression mechanical property test, fracture and damage analysis of similar material of jointed rock mass with filled cracks. Rock Soil Mech 33(6):1647–1652

    Google Scholar 

  • Zhang D, Ranjith PG, Perera MSA (2016) The brittleness indices used in rock mechanics andtheir application in shale hydraulic fracturing: a review. J Pet Sci Eng 143:158–170

    Google Scholar 

  • Zhao Z, Zhou D (2016) Mechanical properties and failure modes of rock samples with grout-infilled flaws: a particle mechanics modeling. J Nat Gas Sci Eng 34:702–715

    Google Scholar 

  • Zhao Y, Zhang L, Wang W, Pu C, Wan W, Tang J (2016) Cracking and stress–strain behavior of rock-like material containing two flaws under uniaxial compression. Rock Mech Rock Eng 49(7):2665–2687

    Google Scholar 

  • Zhou T, Zhu JB (2018) Identification of a suitable 3D printing material for mimicking brittle and hard rocks and its brittleness enhancements. Rock Mech Rock Eng 51(3):765–777

    Google Scholar 

  • Zhou Z, Tan L, Cao W, Zhou Z, Cai X (2017) Fracture evolution and failure behaviour of marble specimens containing rectangular cavities under uniaxial loading. Eng Fract Mech 184:183–201

    Google Scholar 

  • Zhou XP, Lian YJ, Wong LN, Berto F (2018) Understanding the fracture behavior of brittle and ductile multi-flawed rocks by uniaxial loading by digital image correlation. Eng Fract Mech 199:438–460

    Google Scholar 

  • Zhou T, Zhu JB, Ju Y, Xie HP (2019a) Volumetric fracturing behavior of 3D printed artificial rocks containing single and double 3D internal flaws under static uniaxial compression. Eng Fract Mech 205:190–204

    Google Scholar 

  • Zhou XP, Wang YT, Zhang JZ, Liu FN (2019b) Fracturing behavior study of three-flawed specimens by uniaxial compression and 3D digital image correlation: sensitivity to brittleness. Rock Mech Rock Eng 52(3):691–718

    Google Scholar 

  • Zhu JB, Zhou T, Liao ZY, Sun L, Li XB, Chen R (2018) Replication of internal defects and investigation of mechanical and fracture behaviour of rock using 3D printing and 3D numerical methods in combination with X-ray computerized tomography. Int J Rock Mech Min Sci 30(106):198–212

    Google Scholar 

  • Zhuang X, Chun J, Zhu H (2014) A comparative study on unfilled and filled crack propagation for rock-like brittle material. Theor Appl Fract Mec 72:110–120

    Google Scholar 

  • Zou C, Wong LN (2014) Experimental studies on cracking processes and failure in marble under dynamic loading. Eng Geol 173:19–31

    Google Scholar 

  • Zou C, Wong LNY, Cheng Y (2012) The strength and crack behaviour of the rock-like gypsum under high strain rate. In: 46th US Rock Mechanics/Geomechanics Symposium, American Rock Mechanics Association.

  • Zou C, Wong LN, Loo JJ, Gan BS (2016) Different mechanical and cracking behaviors of single-flawed brittle gypsum specimens under dynamic and quasi-static loadings. Eng Geol 201:71–84

    Google Scholar 

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Acknowledgements

This work was supported in part by the Australian Research Council through Discovery Projects Scheme (Grant Numbers: DP170102886 and DP190102954). The specimens were printed at the Centre for Human Anatomy Education (CHAE) at Monash University. Their help is highly acknowledged.

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Correspondence to Luming Shen.

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Sharafisafa, M., Shen, L. Experimental Investigation of Dynamic Fracture Patterns of 3D Printed Rock-like Material Under Impact with Digital Image Correlation. Rock Mech Rock Eng 53, 3589–3607 (2020). https://doi.org/10.1007/s00603-020-02115-1

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