Spacing and failure mechanism of edge fracture in two-layered materials
Source abstract
Abstract
The phenomenon of edge fractures is analyzed using a fracturing process approach. Such fractures often initiated from the free surface of layered materials, and often terminate at the interface that divides the fractured layer and the matrix layer, or continue to expand along the interface, or create a peel-crack. To understand better the pattern of fractures with different spacing and the fracture mechanism, a double-layer elastic model with the same material properties with a fractured overlying layer subjected to uniaxial tension is simulated firstly. The stress distribution between two adjacent fractures is periodically distributed as a function of the ratio of the fracture spacing to the thickness of the fractured layer (S/t ratio), and homogeneous and heterogeneous material properties are considered in the simulation. The simulation results show that both the stress distribution and the critical value of fracture spacing to layer thickness ratio are affected by material heterogeneity; the S/t ratio of heterogeneous material is much smaller and it is much easier to crack compared with the homogeneous materials. In particular, the fracture saturation mechanism is analyzed by stress state change. Then a numerical simulation is carried out to reveal the fracturing process from micro-fracture formation, propagation, coalescence, nucleation, fracture infilling, fracture saturation, termination, to interface delamination. A fitting curve of the relationship between strain and spacing to layer thickness radio is obtained. It is found that infilling fractures may grow near the bottom or the free surface of the fractured layer by coalescence of micro-fractures and flaws. We also find that fracture spacing in the case of interface delamination is greater than that without interface delamination. A study of stress transition between the two layers on fracture spacing in the fracture process is also carried out, with a focus on stress transfer mode.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Numerical methods in engineering · Rock Mechanics and Modeling · Geotechnical Engineering and Underground Structures
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (20)
Show source-provided references
1. Bai T, Pollard DD, Gao H (2000a) Explanation for fracture spacing in layered materials. Nature 403:753–75610.1038/35001550 ↗
2. Bai T, Pollard DD, Gao H (2000b) Spacing of edge fractures in layered materials. Int J Fract 103:373–39510.1023/A:1007659406011 ↗
3. Fischer MP, Gross MR, Engelder T, Greenfield RJ (1995) Finite element analysis of the stress distribution around a pressurized crack in a layered elastic medium: implications for the spacing of fluid-driven joints in bedded sedimentary rock. Tectonophysics 247:49–6410.1016/0040-1951(94)00200-S ↗
4. Gross MR (1993) The origin and spacing of cross joints: examples from the Monterey Formation, Santa Barbara Coastline, California. J Struct Geol 15(6):737–75110.1016/0191-8141(93)90059-J ↗
5. Gross MR, Engelder T (1995) Strain accommodated by brittle failure in adjacent units of the Monterey Formation, U.S.A.: scale effects and evidence for uniform displacement boundary conditions. J Struct Geol 17(9):1303–131810.1016/0191-8141(95)00011-2 ↗
6. Helgeson DE, Aydin A (1991) Characteristics of joint propagation across layer interfaces in sedimentary rocks. J Struct Geol 13(8):897–91110.1016/0191-8141(91)90085-W ↗
7. Hong AP, Li YN (1997) Theory of crack spacing in concerte pavements. J Eng Mech 123:267–27510.1061/(ASCE)0733-9399(1997)123:3(267) ↗
8. Iyer K, Podladchikov YY (2009) Transformation-induced jointing as a gauge for interfacial slip and rock strength. Earth Planet Sci Lett 280(1–4):159–16610.1016/j.epsl.2009.01.028 ↗
9. Ji S, Saruwatari K (1998) A revised model for the relationshipfracture spacing. J Struct Geol 20(11):1495–150810.1016/S0191-8141(98)00042-X ↗
10. Lachenbruch AH (1961) Depth and spacing of tension cracks. J Geophys Res 66:4273–449210.1029/JZ066i012p04273 ↗
11. Mandl G (2005) Rock joints: the mechanical genesis. Springer, Berlin
12. Nanta R, Moran B (1996) Film cracking and debonding in a coated fiber. Int J Fract 79:351–37210.1007/BF00018596 ↗
13. Tang SB (2009) Mesoscopic numerical model of thermo-hygro cracking process in concrete. Department of Hydraulic, Engineering Doctor 115–160
14. Tang CA, Zhao W (1997) RFPA2D system for rock failure process analysis. Chin J Rock Mech Eng 16(5):507–508
15. Tang CA, Zhang YB, Liang ZZ, Xu T, Tham LG, Lindqvist PA, Kou SQ, Liu HY (2006) Fracture spacing in layered materials and pattern transition from parallel to polygonal fractures. Phys Rev E 73(5):05612010.1103/PhysRevE.73.056120 ↗
16. Tang CA, Liang ZZ, Zhang YB, Chang X, Tao X, Wang DG, Zhang JX, Liu JS, Zhu WC, ELSworth D (2008) Fracture spacing in layered materials: a new explanation based on two-dimensional failure process modeling. Am J Sci 308(1):49–7210.2475/01.2008.02 ↗
17. Thouless MD (1990) Crack spacing in brittle films on elastic substrates. J Am Ceram Soc 73:2144–214610.1111/j.1151-2916.1990.tb05290.x ↗
18. Thouless MD, Olsson E, Gupta A (1992) Cracking of brittle films on elastic substrates. Acta Metall Mater 40(6):1287–129210.1016/0956-7151(92)90429-I ↗
19. Wu H, Pollard DD (1995) An experimental study of the relationship between joint spacing and layer thickness. J Struct Geol 17(6):887–90510.1016/0191-8141(94)00099-L ↗
20. Zhu WC, Tang CA, Huang ZP, Pang MZ (2005) Numerical simulation on splitting failure mode of rock under static and dynamic loadings. Chin J Rock Mech Eng 24(1):1–7