Reconciliation of contrasting theories for fracture spacing in layered rocks

Journal of Structural Geology

Volumn 33, Issue 4, 2011, Pages 551-565

  Schöpfer, Martin P J ^a   Arslan, Arzu ^a,b   Walsh, John J ^a   Childs, Conrad ^a  

^a UNIVERSITY COLLEGE DUBLIN   (Ireland)

^b UNIVERSITY OF BREMEN   (Germany)

Author keywords

Distinct element method; Fracture spacing; Rock joints; Shear lag model

Indexed keywords

1-D MODELS; BRITTLE LAYERS; DISCONTINUUM; DISTINCT ELEMENT METHODS; FRACTURE SATURATION; FRACTURE SPACING; FRACTURE SYSTEMS; INTERFACE SHEAR STRENGTH; INTERFACIAL SLIP; LAYER THICKNESS; LAYERED ROCKS; MATRIX; MECHANICAL MODEL; OVERBURDEN PRESSURES; RATIO DEPENDENT; ROCK JOINTS; SHEAR-LAG MODEL; STRESS DISTRIBUTION;

FIBER OPTIC SENSORS; ROCKS; SHEAR STRENGTH; STRESS CONCENTRATION; TENSILE STRENGTH;

FRACTURE;

DISTINCT ELEMENT METHOD; FAULT SLIP; FRACTURE; JOINT; NUMERICAL MODEL; SHEAR STRENGTH; SPACING; TENSILE STRENGTH;

EID: 79953025624     PISSN: 01918141     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jsg.2011.01.008     Document Type: Article

References (54)

1. Adda-Bedia M., Amar M.B. Fracture spacing in layered materials. Physical Review Letters 2001, 86:5703-5706.
2. Altus E., Ishai O. Transverse cracking and delamination interaction in the failure process of composite laminates. Composites Science and Technology 1986, 26:59-77.
3. Bai T., Pollard D.D. Closely spaced fractures in layered rocks: initiation mechanism and propagation kinematics. Journal of Structural Geology 2000, 22:1409-1425.
4. Bai T., Pollard D.D. Fracture spacing in layered rocks: a new explanation based on the stress transition. Journal of Structural Geology 2000, 22:43-57.
5. Bai T., Pollard D.D., Gao H. Explanation for fracture spacing in layered materials. Nature 2000, 403:753-756.
6. Berthelot J.-M. Transverse cracking and delamination in cross-ply glass-fiber and carbon-fiber reinforced plastic laminates: static and fatigue loading. Applied Mechanics Reviews 2003, 56:111-147.
7. Berthelot J.-M., Leblond P., El Mahi A., Le Corre J.F. Transverse cracking of cross-ply laminates: part 1. Analysis. Composites Part A: Applied Science and Manufacturing 1996, 27:989-1001.
8. Bourne S.J. Contrast of elastic properties between rock layers as a mechanism for the initiation and orientation of tensile failure under uniform remote compression. Journal of Geophysical Research 2003, 108(B8):2395.
9. Byerlee J. Friction of rocks. Pure and Applied Geophysics 1978, 116:615-626.
10. Cooke M.L., Underwood C.A. Fracture termination and step-over at bedding interfaces due to frictional slip and interface opening. Journal of Structural Geology 2001, 23:223-238.
11. Cox H.L. The elasticity and strength of paper and other fibrous materials. British Journal of Applied Physics 1952, 3:72-79.
12. Dharani L.R., Wei J., Ji F.S., Zhao J.H. Saturation of transverse cracking with delamination in polymer cross-ply composite laminates. International Journal of Damage Mechanics 2003, 12:89-113.
13. Garrett K.W., Bailey J.E. Multiple transverse fracture in 90° cross-ply laminates of a glass fibre-reinforced polyester. Journal of Materials Science 1977, 12:157-168.
14. Gillespie P.A., Walsh J.J., Watterson J., Bonson C.G., Manzocchi T. Scaling relationships of joint and vein arrays from The Burren, Co. Clare, Ireland. Journal of Structural Geology 2001, 23:183-201.
15. Groves S.E., Harris C.E., Highsmith A.L., Allen D.H., Norvell R.G. An experimental and analytical treatment of matrix cracking in cross-ply laminates. Experimental Mechanics 1987, 27:73-79.
16. Hobbs D.W. The formation of tension joints in sedimentary rocks: an explanation. Geological Magazine 1967, 104:550-556.
17. s laminates: their shapes, initiation angles and locations. Composites Science and Technology 1993, 47:321-329.
18. Huang Q., Angelier J. Fracture spacing and its relation to bed thickness. Geological Magazine 1989, 126:355-362.
19. Huang Y., Young R.J. Interfacial behaviour in high temperature cured carbon fibre/epoxy resin model composite. Composites 1995, 26:541-550.
20. Itasca Consulting Group, Inc PFC2D (Particle Flow Code in 2 Dimensions), Version 4.0 2008, Itasca Consulting Group, Inc, Minneapolis, MN.
21. Iyer K., Podladchikov Y.Y. Transformation-induced jointing as a gauge for interfacial slip and rock strength. Earth and Planetary Science Letters 2009, 280:159-166.
22. Jain A., Guzina B.B., Voller V.R. Effects of overburden on joint spacing in layered rocks. Journal of Structural Geology 2007, 29:288-297.
23. Ji S., Saruwatari K. A revised model for the relationship between joint spacing and layer thickness. Journal of Structural Geology 1998, 20:1495-1508.
24. Ji S., Zhu Z., Wang Z. Relationship between joint spacing and bed thickness in sedimentary rocks: effects of interbed slip. Geological Magazine 1998, 135:637-655.
25. Kelly A., Tyson W.R. Tensile properties of fiber-reinforced metals: copper/tungsten and copper/molibdenum. Journal of the Mechanics and Physics of Solids 1965, 13:329-350.
26. Korach C.S., Keer L.M. Stresses between 3D fractures in infinite and layered elastic solids. Engineering Fracture Mechanics 2002, 69:1815-1825.
27. Ladeira F.L., Price N.J. Relationship between fracture spacing and bed thickness. Journal of Structural Geology 1981, 3:179-183.
28. Li Y., Yang C. On fracture saturation in layered rocks. International Journal of Rock Mechanics and Mining Sciences 2007, 44:936-941.
29. Lloyd G.E., Ferguson C.C., Reading K. A stress-transfer model for the development of extension fracture boudinage. Journal of Structural Geology 1982, 4:355-372.
30. Lockner D.A. Rock failure. AGU Reference Shelf 3 1995, 127-147. American Geophyscial Union, Washington DC. T.J. Ahrens (Ed.).
31. Mandal N., Deba S.K., Khan D. Evidence for a non-linear relationship between fracture spacing and layer thickness. Journal of Structural Geology 1994, 16:1275-1281.
32. Manders P.T., Chou T.-S., Jones F.R., Rock J.W. Statistical analysis of multiple fracture in 00°/90° glass fibre/epoxy resin laminates. Journal of Materials Science 1983, 18:2876-2889.
33. Mandl G. Rock Joints: the Mechanical Genesis 2005, Springer-Verlag, Heidelberg.
34. Mas Ivars D., Potyondy D.O., Pierce M., Cundall P.A. The smooth-joint contact model. Proceedings of WCCM8-ECCOMAS 2008, (8th World Congress on Computational Mechanics/5th European Congress on Computational Methods in Applied Sciences and Engineering) 2008, B. Schrefler, U. Perego (Eds.).
35. Nairn J.A. Matrix microcracking in composites. Polymer Matrix Composites 2000, vol. 2:403-432. Elsevier Science, Amsterdam. R. Talreja, J.-A.E. Månson (Eds.).
36. Narr W., Suppe J. Joint spacing in sedimentary rocks. Journal of Structural Geology 1991, 13:1037-1048.
37. Ohsawa T., Nakyama N., Miwa M., Hasegawa A. Temperature dependence of critical fiber length for glass fiber-reinforced thermosetting resins. Journal of Applied Polymer Science 1978, 22:3203-3212.
38. Olson J.E. Predicting fracture swarms - the influence of subcritical crack growth and the crack-tip process zone on joint spacing in rock. Geological Society of London Special Publications 2004, vol. 231:73-88. Geological Society, London. J.W. Cosgrove, T. Engelder (Eds.).
39. Parvizi A., Bailey J.E. On multiple transverse cracking in glass fibre epoxy cross-ply laminates. Journal of Materials Science 1978, 13:2131-2136.
40. Piggott M.R. Expressions governing stress-strain curves in short fibre reinforced polymers. Journal of Materials Science 1978, 13:1709-1716.
41. Piggott M.R. Why interface testing by single-fibre methods can be misleading. Composites Science and Technology 1997, 57:965-974.
42. Potyondy D.O., Cundall P.A. A bonded-particle model for rock. International Journal of Rock Mechanics and Mining Sciences 2004, 41:1329-1364.
43. Price N.J. Fault and Joint Development in Brittle and Semi-brittle Rock 1966, Pergamon Press Ltd., Oxford.
44. Ramsey J.M., Chester F.M. Hybrid fracture and the transition from extension fracture to shear fracture. Nature 2004, 428:63-66.
45. Sagy A., Reches Z. Joint intesity in layered rocks: the unsaturated, saturated, supersaturated and clustered classes. Israel Journal of Earth Sciences 2006, 55:33-42.
46. Savalli L., Engelder T. Mechanisms controlling rupture shape during subcritical growth of joints in layered rocks. Geological Society of America Bulletin 2005, 117:436-449.
47. Schoeppner G.A., Pagano N.J. 3-D thermoelastic moduli and saturation crack density for cross-ply laminates with transverse cracks. International Journal of Damage Mechanics 1999, 8:273-309.
48. Schöpfer M.P.J., Abe S., Childs C., Walsh J.J. The impact of porosity and crack density on the elasticity, strength and friction of cohesive granular materials: insights from DEM modelling. International Journal of Rock Mechanics and Mining Sciences 2009, 46:250-261.
49. Schöpfer M.P.J., Childs C., Walsh J.J. Two-dimensional distinct element modeling of the structure and growth of normal faults in multilayer sequences: 2. Impact of confining pressure and strength contrast on fault zone geometry and growth. Journal of Geophysical Research 2007, 112:B10404.
50. Sibson R.H. Brittle failure mode plots for compressional and extensional tectonic regimes. Journal of Structural Geology 1998, 20:655-660.
51. Tang C.A., Liang Z.Z., Zhang Y.B., Chang X., Tao X., Wang D.G., Zhang J.X., Liu J.S., Zhu W.C., Elsworth D. Fracture spacing in layered materials: a new explanation based on two-dimensional failure process modeling. American Journal of Science 2008, 308:49-72.
52. Tripathi D., Jones F.R. Single fibre fragmentation test for assesing adhesion in fibre reinforced composites. Journal of Materials Science 1998, 33:1-16.
53. van den Heuvel P.W.J., Peijs T., Young R.J. Failure phenomena in two-dimensional multifibre microcomposites: 2. A raman spectroscopic study of the influence of inter-fibre spacing on stress concentrations. Composites Science and Technology 1997, 57:899-911.
54. Wu H., Pollard D.D. An experimental study of the relationship between joint spacing and layer thickness. Journal of Structural Geology 1995, 17:887-905.