Summary
This paper presents a combination of the Boundary Element Method (BEM) and the cracked ring test to determine the mixed-mode (I–II) fracture toughness of anisotropic rocks. The proposed BEM is used to accurately calculate the Stress Intensity Factors (SIFs) of a cracked anisotropic plate. An anisotropic Hualien marble of Taiwan with a distinct foliation was selected to conduct the cracked ring tests. Based on the measurement of the failure load during the test, the mixed-mode (I–II) fracture toughness can be determined. Experimental results show that the radius ratio, inclination and crack angle significantly affect the fracture toughness. The mode-I fracture toughness (K IC ) is shown to decrease with the increase in hole diameter, whereas the mode-II fracture toughness (K IIC ) increases with the increase in hole diameter when the crack angle β is equal to 0°. The experimental methods proposed have the advantage that the material is easily prepared, the test procedure is simple, and the cost is low.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
NA Al-Shayea K Khan SN Abduljauwad (2000) ArticleTitleEffects of confining pressure and temperature on mixed-mode (I-II) fracture toughness of a limestone rock Int J Rock Mech Min Sci 37 629–643 Occurrence Handle10.1016/S1365-1609(00)00003-4
B Amadei (1996) ArticleTitleImportance of anisotropy when estimating and measuring in-situ stresses in rock Int J Rock Mech Geo Abs 33 293–325 Occurrence Handle10.1016/0148-9062(95)00062-3
Amadei B, Rogers JD, Goodman RE (1983) Elastic constants and tensile strength of anisotropic rocks. Proc 5th Congr. International Society Rock Mechanics, Melbourne, Australia, pp 189–196
B Amadei WZ Savage HS Swolfs (1987) ArticleTitleGravitational stresses in anisotropic rock masses Int J Rock Mech Min Sci Geo Abs 24 5–14 Occurrence Handle10.1016/0148-9062(87)91227-7
C Atkinson RE Smelser J Sanchez (1982) ArticleTitleCombined mode fracture via the cracked Brazilian disk test Int J Fracture 18 279–291
H Awaji S Sato (1978) ArticleTitleCombined mode fracture toughness measurement by the disk test J Eng Mater Tech 100 175–182
ZT Bieniawski I Hawkes (1978) ArticleTitleSuggested methods for determining tensile strength of rock materials Int J Rock Mech Min Sci Geo Abs 15 99–103 Occurrence Handle10.1016/0148-9062(78)90003-7
CA Brebbia (1978) The boundary element method for engineers Pentech Press Plymouth and London
CS Chen E Pan B Amadei (1998a) ArticleTitleDetermination of deformability and tensile strength of anisotropic rock using Brazilian tests Int J Rock Mech Min Sci 35 43–61 Occurrence Handle10.1016/S0148-9062(97)00329-X
CS Chen E Pan B Amadei (1998b) ArticleTitleFracture mechanics analysis of cracked discs of anisotropic rock using the boundary element method Int J Rock Mech Min Sci 35 195–218 Occurrence Handle10.1016/S0148-9062(97)00330-6
AA Griffith (1920) ArticleTitleThe phenomena of rupture and flow in solids Philos T Roy Soc A 221 163–198 Occurrence Handle10.1098/rsta.1921.0006
GR Irwin (1957) ArticleTitleAnalysis of stresses and strains near the end of a crack J Appl Mech 24 361–364
Lekhnitskii SG (1957) Anisotropic plates, translated by Tsai SW. Gordon and Breath, New York
Lekhnitskii SG (1963) Theory of elasticity of an anisotropic elastic body, translated by Fern P. Holden-Day Inc., San Francisco
BM Lempriere (1968) ArticleTitlePoisson’s ratios in orthotropic materials J Am Institute Aeronaut Astronaut 6 2226–2227
AYT Leung JD Hu SH Lo (1999) ArticleTitleGreen’s function for general cracked ring problems Int J Pres Ves Pip 76 117–126 Occurrence Handle10.1016/S0308-0161(98)00114-8
IL Lim IW Johnston SK Choi JN Boland (1994) ArticleTitleFracture testing of a soft rock with semi-circular specimens under three point bending. Part 2 – Mixed mode Int J Rock Mech Mining Sci Geo Abs 31 199–212 Occurrence Handle10.1016/0148-9062(94)90464-2
Y Murakami H Nisitani (1975) ArticleTitleThe stress intensity factors for the cracked hollow spin disk Trans Jpn Soc Mech Eng 41 2255–2264
LS Niu HJ Shi C Robin G Pluvinage (2001) ArticleTitleElastic and elastic plastic fields on circular rings containing a v-notch under inclined loads Eng Fract Mech 68 949–962 Occurrence Handle10.1016/S0013-7944(01)00008-X
E Pan (1997) ArticleTitleA general boundary element analysis of 2-D linear elastic fracture mechanics Int J Fracture 88 41–59 Occurrence Handle10.1023/A:1007462319811
E Pan B Amadei (1996) ArticleTitleFracture mechanics analysis of 2D anisotropic media with a new boundary element method Int J Fracture 77 161–174 Occurrence Handle10.1007/BF00037235
GC Sih PC Paris GR Irwin (1965) ArticleTitleOn cracks in rectilinearly anisotropic bodies Int J Fracture 3 189–203
P Sollero MH Aliabadi (1993) ArticleTitleFracture mechanics analysis of anisotropic plates by the boundary element method Int J Fracture 64 269–284 Occurrence Handle10.1007/BF00017845
GA Webster GC Klintworth A Stacey (1983) ArticleTitleStress intensity factors for cracked c-shaped and ring type test-pieces J Strain Anal 18 225–230 Occurrence Handle10.1243/03093247V184225
BN Whittaker RN Singh G Sun (1992) Rock fracture mechanics: principles, design and applications Elsevier New York
Author information
Authors and Affiliations
Additional information
Correspondence: Chia-Hau Chen, Chao-Shi Chen, Department of Resources Engineering, National Cheng Kung University, 701 Tainan, Taiwan
Rights and permissions
About this article
Cite this article
Chen, CH., Chen, CS. & Wu, JH. Fracture toughness analysis on cracked ring disks of anisotropic rock. Rock Mech Rock Eng 41, 539–562 (2008). https://doi.org/10.1007/s00603-007-0152-9
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00603-007-0152-9