Numerical Simulation of Fracture Saturation in Multilayer Materials in Symmetric Case

Abstract:

Using Realistic Failure Process Analysis Code RFPA^2D, a three layer materials model with a central layer and with the same thickness top and bottom layer, progressive formation of fracture saturation in multilayer materials is simulated in all case by numerical simulation. Our numerical simulation recurrence the phenomenon of fracture saturation in multilayer materials. numerical simulation shown that for the symmetric case the spacing of these fractures at fracture saturation are approximately the same and lineally related to thickness of the fractured layer. We investigate that the critical fracture spacing to layer thickness ratio is function of the thickness ratio of the top and bottom layers to central layer at fracture saturation. numerical simulation shown that for the symmetric case the critical spacing of fractures to layer thickness ratio decreases rapidly and tends to a constant value.

• Periodical: Materials Science Forum (Volumes 704-705)
• Pages: 641-644
• DOI: https://doi.org/10.4028/www.scientific.net/MSF.704-705.641
• Online since: December 2011
• Authors: Feg Shan Han
• Keywords: Fracture Saturation, Numerical Simulation, Progressive Formation, Symmetric Case

References

[1] Bai Taixu, Pollard. D. D,. Spacing of Fractures in a multilayer at Fracture saturation. International Journal of Fracture, 100(1999): L23-L28.

[2] Bai T., Pollard. D. D, Fracture spacing in layered rock: a new explanation based on the stress transition. Journal of structural geology, 22(2000a): 43-57.

DOI: 10.1016/s0191-8141(99)00137-6

[3] Bai T., Pollard. D. D, Gao H., closely spaced Fractures in layered rock: initiation mechanism and propagation kinematics. Journal of structural geology, 22(2000b) : 1409-1425.

DOI: 10.1016/s0191-8141(00)00062-6

[4] Bai T., Pollard. D. D, Gao H., Explanation for fracture spacing in layered materials, Nature, 403(2000): 753-756.

DOI: 10.1038/35001550

[5] Bai T., Maerten, L., Gross, M.R., Aydin, A., Orthogonal cross joints: Do they imply a regional stress rotation, Journal of structural geology, 24(2002): 77-88.

DOI: 10.1016/s0191-8141(01)00050-5

[6] C.A. Tang, Z.Z. Liang, Y.B. Zhang,X. Chang, X. Tao, D.G. Wang, J.X. Zhang, J. S. Liu, W.C. Zhu, and D. Elsworth, Fracture spacing in layered materials: a new explanation based on two –dimensional failure process modeling. American Journal of Science, 308(2008: )49-72.

DOI: 10.2475/01.2008.02

[7] Garrett K. W., Bailey J.E., multiple transverse fractures in 900 cross-ply laminates of glass fiber-reinforced polyester. Journal of Material Science, 12(1977): 157-168.

DOI: 10.1007/bf00738481

[8] Hong A. P., Li Y. N., Bazant P., Theory of crack spacing in concrete pavement. Journal of Engineering Mechanics, 123(1997): 267-275.

[9] Narr N., Suppe J. 1991, Joint spacing in sedimentary rock, Journal of Structural Geology, 13(1991): 1037-1048.

DOI: 10.1016/0191-8141(91)90055-n

[10] Parvizi A, Bailey J.E., On multiple transverse cracking in glass fiber epoxy cross-play laminate. Journal of Material Science, 1978, 13(1978): 2131-2136.

DOI: 10.1007/bf00541666

[11] Pollard D. D., Aydin. A., Progress in understanding jointing over the past century. Geological Society of American Bulletin, 100(1988): 1181-1204.

DOI: 10.1130/0016-7606(1988)100<1181:piujot>2.3.co;2

[12] Wu H., Pollard D.D., An experimental study of the relationship between joint spacing and layer thickness., Journal of Structural Geology, 17(1995): 887-905.

DOI: 10.1016/0191-8141(94)00099-l