Mixed-Mode Study of Rock Fracture Mechanics by using the Modified Arcan Specimen Test

This paper studies mixed-mode fracture mechanics in rock based on experimental and numerical analyses. Experiments were performed on sharp-cracked specimens using the modified Arcan specimen test loading device. The modified Arcan specimen test was, in association with a special loading device, an appropriate apparatus for experimental mixed-mode fracture analysis. By varying the loading angle from 0° to 90°, pure mode-I, pure mode-II and a wide range of mixed-mode data were obtained experimentally. Using the finite element results, correction factors applied to the rectangular fracture specimen. By employing experimentally measured critical loads and the aid of the finite element method, mixed-mode fracture toughness for the limestone under consideration determined.




References:
[1] L. Lim, I. W. Johnston, S. K. Choi, J. N. Boland, "Fracture Testing of a
Soft Rock with Semi-circular Specimens Under Three-point Bending.
Part 2--Mixed-mode", Int. J. Rock Mech. Min. Sci. & Geomech. Vol. 31,
No. 3, pp. 199-212, 1994.
[2] Y. Nara, K. Kaneko, "Sub-critical crack growth in anisotropic rock"
International Journal of Rock Mechanics & Mining Sciences vol. 43, p.
437-453, (2006).
[3] T. Backers, S. Stanchits, G. Dresen, "Tensile fracture propagation and
acoustic emission activity in sandstone: The effect of loading rate"
International Journal of Rock Mechanics & Mining Sciences vol. 42, p.
1094-1101, (2005).
[4] Y. Nara, K. Kaneko, "Study of subcritical crack growth in Andesite
using the Double Torsion test" International Journal of Rock Mechanics
& Mining Sciences vol. 42, p.521-530, (2005).
[5] Feng Chen, Ping Cao, Q.H. Rao, C.D. Ma, Z.Q. Sun, "A mode II
fracture analysis of double edge cracked Brazilian disk using the weight
function method" International Journal of Rock Mechanics & Mining
Sciences vol. 42, p.461-465, (2005).
[6] M.H.B. Nasseri, B. Mohanty, P.-Y. F. Robin, "Characterization of
microstructures and fracture toughness in five granitic rocks"
International Journal of Rock Mechanics & Mining Sciences vol. 42,
p.450-460, (2005).
[7] J.G. Donovan, M.G. Karfakis, "Adaptation of a simple wedge test for
the rapid determination of mode I fracture toughness and the assessment
of relative fracture resistance", International Journal of Rock Mechanics
& Mining Sciences vol. 41, p.695-701, (2004).
[8] Q.Z. Wang, X.M. Jia, L.Z. Wu, "Wide-range stress intensity factors for
the ISRM suggested method using CCNBD specimens for rock fracture
toughness tests" International Journal of Rock Mechanics & Mining
Sciences vol. 41, p. 709-716, (2004).
[9] Q.Z. Wang, L.Z. Wu, "The flattened Brazilian disc specimen used for
determining elastic modulus, tensile strength and fracture toughness of
brittle rocks: experimental results", International Journal of Rock
Mechanics & Mining Sciences vol. 41, p. 357-358, (2004).
[10] H.Y. Liu, S.Q. Kou, P.-A. Lindqvist, C.A. Tang, "Numerical simulation
of shear fracture (Mode II) in heterogeneous brittle rock", International
Journal of Rock Mechanics & Mining Sciences, vol. 41, p. 355, (2004).
[11] Jeoungseok Yoon, Seokwon Jeon, "Experimental verification of a
(Punch through Shear) PTS Mode II test for rock", International Journal
of Rock Mechanics & Mining Sciences vol. 41, p. 353-354, (2004).
[12] Q.Z. Wang, X.M. Jia, S.Q. Kou, Z.X. Zhang, P. -A. Lindqvist, "More
accurate stress intensity factor derived by finite element analysis for the
ISRM suggested rock fracture toughness specimenÔÇöCCNBD"
International Journal of Rock Mechanics & Mining Sciences vol. 40, p.
233-241, (2003).
[13] T. Backers, O. Stephansson, E. Rybacki "Rock fracture toughness
testing in Mode IIÔÇöpunch through shear test", International Journal of
Rock Mechanics & Mining Sciences vol. 39, p. 755-769, (2002).
[14] Z.X. Zhang, "An empirical relation between mode I fracture toughness
and the tensile strength of rock" International Journal of Rock
Mechanics & Mining Sciences vol. 39 p. 401-406 (2002).
[15] Choupani, N. "Experimental and Numerical Investigation of the Mixed-
Mode Delamination in Arcan Laminated Specimens", International
Journal of Materials Science & Engineering, in press.
[16] P.M. Noury, R.A. Shenoi and I. Sinclair, "On mixed-mode fracture of
PVC foam", International Journal of Fracture vol. 92, p. 131-151, 1998.
[17] ASTM E399, Standard Test Method for Plane Strain Fracture Toughness
and Strain Energy Release Rate of Metalic Materials: Annual Book of
ASTM Standards, 1983.
[18] ASTM D5045, Standard Test Method for Plane Strain Fracture
Toughness and Strain Energy Release Rate of Plastic Materials: Annual
Book of ASTM Standards, 1995.
[19] R. A. Jurf, R. B. Pipes, "Interlaminar Fracture of Composite Materials",
J. Composite Materials, vol. 16, p. 386-394, 1982.
[20] M. Arcan, Z. Hashin, and A. Voloshin, "A Method to Produce Plane-
Stress States with Applications to Fiber-Reinforced Materials",
Experimental Mechanics, vol. 18, p. 141-6, 1978.
[21] S. H. Yoon and C. S. Hong, "Interlaminar Fracture Toughness of
Graphite/Epoxy Composite under Mixed-Mode Deformations",
Experimental Mechanics, vol. 30(3), p. 234-239, 1990.
[22] L. Banks-Sills, M. Arcan, and Y. Bortman, "A Mixed Mode Fracture
Specimen for Mode II Dominant Deformation", Engineering Fracture
Mechanics, vol. 20(1), p. 145-157, 1984.
[23] K. J. Miller and D. L. McDowell, "Mixed-Mode Crack Behavior", West
Conshohocken, Penn: ASTM, 1999.
[24] H. P. Rossmanith and K. J. Miller, "Mixed-Mode Fatigue and Fracture":
Papers Presented at the International Conference on Mixed-Mode
Fracture and Fatigue Held at the Technical University of Vienna,
Austria. London: European Structural Integrity Society: Mechanical
Engineering Publications, 1993.
[25] E. E. Gdoutos, Problems of Mixed Mode Crack Propagation. Boston;
Hingham, MA, USA: M. Nijhoff ; Distributors for the U.S. and Canada,
Kluwer Boston, 1984.
[26] E. E. Gdoutos, D. A. Zacharopoulos, and E. I. Meletis, "Mixed-Mode
Crack Growth in Anisotropic Media", Engineering Fracture Mechanics,
vol. 34(2), p. 337-346, 1989.
[27] Habbit, Karlsson, and Sorensen, "ABAQUS User's Manual Version
6.2.4," 2001.