Interaction of 3D parallel internal cracks in brittle solids under thermal loading: Experiment and numerical simulation

Yun-fei Wang , Hai-jun Wang , Xin-ming Zhao , Lei Tang , Jian-wu Pan

Journal of Central South University ›› 2023, Vol. 30 ›› Issue (1) : 331 -350.

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Journal of Central South University ›› 2023, Vol. 30 ›› Issue (1) : 331 -350. DOI: 10.1007/s11771-022-5212-5
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Interaction of 3D parallel internal cracks in brittle solids under thermal loading: Experiment and numerical simulation

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Abstract

Thermal fracture is a typical fracture. Cracks are widely present in brittle solids, and the stress concentration and propagation of cracks under temperature changes have an important effect on thermal fracture. Most of the traditional studies have focused on surface cracks or 2D cracks, while the propagation and the interaction of multiple internal cracks under temperature field are less frequently covered. This paper uses the 3D-internal laser-engraved crack (3D-ILC) method to fabricate 3D double-parallel internal cracks within intact cubic specimens, without causing any damage to the surface. Physical experiments and 3D numerical simulations of crack fracture in different vertical spacing under temperature fields are carried out, and the double crack interaction mode is analyzed and discussed. The results indicate the following: 1) When the double cracks are coplanar, then the temperature field distribution on both sides of the internal crack is symmetrical, the direction of double crack propagation does not shift, and the inner tips of the internal cracks attract each other and eventually coalesce. This is categorized as Mode I crack. In addition, coplanar crack propagation arcs intersect in an “I” shaped fracture morphology. 2) Double cracks attract and coalesce with each other when the ratio of vertical spacing d to crack radius a, i.e., d/a<2, and the interaction degree is maximum when d/a=1. Non-coplanar crack arcs are intersected by “crescent” shaped fracture morphology. 3) After d/a⩾2, the propagation of the inner tip of the double crack is repulsive and this repulsion phenomenon is caused by the boundary effect, not the interaction between multiple cracks, thus categorizing them as Mode I–II mixed cracks. 4) Regardless of the size of the vertical spacing, the stress concentration phenomenon is present on both sides of the tip of the internal crack, while the inner side is much larger than the outer side, so the inner crack propagation length is longer than the outer side. The results of this study provide an experimental and theoretical basis for the study of three-dimensional double-parallel crack interactions under temperature fields.

Keywords

thermal fracture / 3D internal laser-engraved crack (3D-ILC) / double cracks / brittle solid / crack propagation / crack interaction

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Yun-fei Wang, Hai-jun Wang, Xin-ming Zhao, Lei Tang, Jian-wu Pan. Interaction of 3D parallel internal cracks in brittle solids under thermal loading: Experiment and numerical simulation. Journal of Central South University, 2023, 30(1): 331-350 DOI:10.1007/s11771-022-5212-5

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References

[1]

LiX, LeeK Y. Effect of heat conduction of penny-shaped crack interior on thermal stress intensity factors [J]. International Journal of Heat and Mass Transfer, 2015, 91: 127-134

[2]

FengY, SuH, ZhangW, et al. . Experimental study on mechanical behaviors and fracture features of coarse marble specimens after thermal shock [J]. International Journal of Geomechanics, 2021, 21(6): 06021013

[3]

ZhouX, FuL, ChengH, et al. . Cracking behaviours of rock-like materials containing three preexisting flaws after high-temperature treatments [J]. Fatigue & Fracture of Engineering Materials & Structures, 2021, 443622-635

[4]

ZhangW, SunQ, ZhangY. Effects of pre-existing cracks and temperature on failure mode of granite from Eastern China [J]. Journal of Structural Geology, 2019, 126: 330-337

[5]

HaeriH. Experimental and numerical study on crack propagation in pre-cracked beam specimens under three-point bending [J]. Journal of Central South University, 2016, 23(2): 430-439

[6]

HaeriH, ShahriarK, MarjiM F, et al. . Cracks coalescence mechanism and cracks propagation paths in rocklike specimens containing pre-existing random cracks under compression [J]. Journal of Central South University, 2014, 21(6): 2404-2414

[7]

RaoQ, XieH, XieQ. In-plane shear (Mode II) crack sub-critical propagation of rock at high temperature [J]. Journal of Central South University of Technology, 2008, 15(1): 402-405

[8]

SunL, TaoS, TangX, et al. . Simulation of the nonplanar three-dimensional thermal cracking using the finite element-meshfree method [J]. Applied Mathematical Modelling, 2021, 99: 106-128

[9]

ZamaniA, EslamiM R. Implementation of the extended finite element method for dynamic thermoelastic fracture initiation [J]. International Journal of Solids and Structures, 2010, 47(10): 1392-1404

[10]

ZhangH H, LiuS M, HanS Y, et al. . The numerical manifold method for crack modeling of two-dimensional functionally graded materials under thermal shocks [J]. Engineering Fracture Mechanics, 2019, 208: 90-106

[11]

PanH, SongT, WangZ. Thermal fracture model for a functionally graded material with general thermomechanical properties and collinear cracks [J]. Journal of Thermal Stresses, 2016, 39(7): 820-834

[12]

ZhangX, ChenZ, LiX. Thermal shock fracture of an elastic half-space with a subsurface penny-shaped crack via fractional thermoelasticity [J]. Acta Mechanica, 2018, 229(12): 4875-4893

[13]

ChangD M, LiuX F, WangB L, et al. . Non-Fourier thermal shock fracture of solids with shallow semi-elliptical surface crack [J]. Theoretical and Applied Fracture Mechanics, 2018, 96: 160-167

[14]

GuoS L, WangB L. Thermal shock cracking behavior of a cylinder specimen with an internal penny-shaped crack based on non-Fourier heat conduction [J]. International Journal of Thermophysics, 2016, 37(2): 1-23

[15]

OterkusS, MadenciE. Peridynamic modeling of fuel pellet cracking [J]. Engineering Fracture Mechanics, 2017, 176: 23-37

[16]

WangX, ZhangW. Evolution and interaction of surface cracks under thermal shock load [J]. Mechanics, 2016, 22(2): 90-93

[17]

LiuS, ZhangZ, HuangZ. Three-dimensional hydraulic fracture simulation with hydromechanical coupled-element partition method [J]. International Journal of Geomechanics, 2021, 21(9): 04021162

[18]

ZhangZ N, WangD Y, ZhengH, et al. . Interactions of 3D embedded parallel vertically inclined cracks subjected to uniaxial compression [J]. Theoretical and Applied Fracture Mechanics, 2012, 61: 1-11

[19]

WangD Y, ZhangZ N, ZhengH, et al. . Propagation of interactive parallel flat elliptical cracks inclined to shear stress [J]. Theoretical and Applied Fracture Mechanics, 2013, 63–6418-31

[20]

WangY, LiX, ZhaoB, et al. . 3D numerical simulation of pulsed fracture in complex fracture-cavitied reservoir [J]. Computers and Geotechnics, 2020, 125: 103665

[21]

WangY, ZhangZ, GhassemiA. Modeling of thermo-poroelasticity by using discretized virtual internal bond [J]. Geothermics, 2021, 91102017

[22]

SarfaraziV, HaeriH, ShemiraniA B, et al. . Shear behavior of non-persistent joint under high normal load [J]. Strength of Materials, 2017, 49(2): 320-334

[23]

SarfaraziV, HaeriH, ShemiraniA B. Direct and indirect methods for determination of mode I fracture toughness using PFC2D [J]. Computers and Concrete, 2017, 20(1): 39-47

[24]

HaeriH, SarfaraziV, YazdaniM, et al. . Experimental and numerical investigation of the center-cracked horseshoe disk method for determining the mode I fracture toughness of rock-like material [J]. Rock Mechanics and Rock Engineering, 2018, 51(1): 173-185

[25]

HaeriH, SarfaraziV, ZhuZ. Effect of normal load on the crack propagation from pre-existing joints using particle flow code (PFC) [J]. Computers and Concrete, 2017, 19(1): 99-110

[26]

WangZ, ThomasB, ZhangW, et al. . A novel random angular bend (RAB) algorithm and DEM modeling of thermal cracking responses of sandstone [J]. Geomechanics for Energy and the Environment, 2022, 32100335

[27]

WangZ Y, WangL, ZhangW G. A random angular bend algorithm for two-dimensional discrete modeling of granular materials [J]. Materials, 2019, 12(13): E2169

[28]

AdamsM, SinesG. Crack extension from flaws in a brittle material subjected to compression [J]. Tectonophysics, 1978, 491–297-118

[29]

DyskinA V, JewellR J, JoerH, et al. . Experiments on 3-D crack growth in uniaxial compression [J]. International Journal of Fracture, 1994, 65(4): R77-R83

[30]

FuJ, ChenK, ZhuW, et al. . Progressive failure of new modelling material with a single internal crack under biaxial compression and the 3-D numerical simulation [J]. Engineering Fracture Mechanics, 2016, 165140-152

[31]

JuY, XieH, ZhengZ, et al. . Visualization of the complex structure and stress field inside rock by means of 3D printing technology [J]. Chinese Science Bulletin, 2014, 59(36): 5354-5365

[32]

ZhouT, ZhuJ B, JuY, et al. . Volumetric fracturing behavior of 3D printed artificial rocks containing single and double 3D internal flaws under static uniaxial compression [J]. Engineering Fracture Mechanics, 2019, 205: 190-204

[33]

WangH, ZhangJ, RenR, et al. . Embedded cracks in brittle solids induced by laser-medium interaction (3D-ILC) [J]. Chinese Journal of Geotechnical Engineering, 2019, 41(12): 2345-2352(in Chinese)

[34]

WangH, QiH, RenX, et al. . Stress field of structures with internal cracks by 3D-ILC technology: Experimental and numerical analysis [J]. KSCE Journal of Civil Engineering, 2022, 26(1): 248-259

[35]

WangH, YuS, RenR, et al. . Study on failure of brittle solids with circular hole and internal crack based on 3D-ILC [J]. Rock and Soil Mechanics, 2019, 40(6): 2200-2212(in Chinese)

[36]

LiH, WangH, TangL, et al. . Fracture of brittle solid material containing a single internal crack of different depths under three-point bending based on 3D-ILC [J]. Engineering Fracture Mechanics, 2021, 248: 107673

[37]

WangH, LiH, TangL, et al. . Fracture of two three-dimensional parallel internal cracks in brittle solid under ultrasonic fracturing [J]. Journal of Rock Mechanics and Geotechnical Engineering, 2022, 14(3): 757-769

[38]

WangH, LiH, TangL, et al. . Fracturing behavior of brittle solids containing 3D internal crack of different depths under ultrasonic fracturing [J]. International Journal of Mining Science and Technology, 2022, 321245-1257

[39]

WarzynekP A, CarterB J, Banks-SillsLThe M-integral for computing stress intensity factors in generally anisotropic materials [R], 2005, New York, Fracture Analysis Consultants, Inc

[40]

XuL, ZhaoL, JingH, et al. . Evaluation of multiple cracks interaction effect subjected to biaxial tension under creep regime [J]. International Journal of Mechanical Sciences, 2017, 122: 203-214

[41]

ZhaoL, GuoW, XuL, et al. . Evaluation of the multiple embedded cracks interaction effect in creep regime by creep damage method [J]. Advances in Engineering Software, 2019, 128: 125-135

[42]

KachanovM. A simple technique of stress analysis in elastic solids with many cracks [J]. International Journal of Fracture, 1985, 28(1): R11-R19

[43]

LiY, YangC. Approximate analysis of interaction of closely spaced cracks [J]. Journal of Mechanics of Materials and Structures, 2006, 1(1): 147-162

[44]

ZhuD. Stress intensity factor and interaction analysis of offset parallel cracks in brittle solids [J]. European Journal of Mechanics-A/Solids, 2021, 85104119

[45]

SchwaabM É, BibenT, SantucciS, et al. . Interacting cracks obey a multiscale attractive to repulsive transition [J]. Physical Review Letters, 2018, 120(25): 255501

[46]

YangS, DongJ, YangJ, et al. . An experimental investigation of failure mechanical behavior in cylindrical granite specimens containing two non-coplanar open fissures under different confining pressures [J]. Journal of Central South University, 2022, 2951578-1596

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