Abstract
The initiation of crack growth under a combination of opening and anti-plane shearing mode loading is considered in this paper. It is shown that such cracks do not grow through a continuous evolution of the crack surface. Rather, an abrupt fragmentation or segmentation of the crack front is generated. Through experimental observations and a theoretical model, we postulate a relationship between the scale of the fragmentation and the mode mix.
Article PDF
Similar content being viewed by others
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.Avoid common mistakes on your manuscript.
References
Amestoy M, Leblond JB (1992) Crack paths in plane situations: II detailed form of the expansion of the stress intensity factors. Int J Solids Struct 29: 465–501
Bonamy D, Ravi-Chandar K (2003) Interaction of stress waves with propagating cracks. Phys Rev Lett 91 (Art. No. 235502)
Bonamy D, Ravi-Chandar K (2005) Dynamic crack response to a localized shear pulse perturbation in brittle amorphous materials: on crack surface roughening. Int J Fract 134(2005): 1–22
Cooke ML, Pollard DD (1996) Fracture propagation paths under mixed mode loading within rectangular blocks of polymethyl methacrylate. J Geophys Res 101: 3387–3400
Davenport JCW, Smith DJ (1993) A study of superimposed fracture modes I, II and III on PMMA. Fatigue Fract Engng Mater Struct 16: 1125–1133
Gao H (1992) Three-dimensional slightly nonplanar cracks. J Appl Mech 59: 335–343
Gao H, Rice JR (1986) Shear stress intensity factors for a planar crack with slightly curved front. J Appl Mech 53: 774
Goldstein RV, Salganik RL (1974) Brittle fracture of solids with arbitrary cracks. Int J Frac 10: 507–523
Hodogdon JA, Sethna JP (1993) Derivation of a general 3-dimensional crack-propagation law—A generalization of the principle of local symmetry. Phys Rev B 47: 4831–4840
Hull D (1993) Tiltig cracks: the evolution of fracture surface topology in brittle solids. Int J Fract 62: 119–138
Hull D (1995) The effect of mixed mode I/III on crack evolution in brittle solids. Int J Fract 70: 59–79
Knauss WG (1970) An observation of crack propagation in anti-plane shear. Int J Frac 6: 183–187
Lazarus V, Buchholz FG, Fulland M, Wiebesiek J (2008) Comparison of predictions by mode II or mode III criteria on crack front twisting in three or four point bending experiments. Int J Fract 153: 141–151
Lazarus V, Leblond JB (2001a) Crack front rotation and segmentation in mixed mode I + III or I + II + III. Part I: calculation of stress intensity factors. J Mech Phys Solids 49: 1399–1420
Lazarus V, Leblond JP (2001b) Crack front rotation and segmentation in mixed mode I + III or I + II + III. Part II: comparison with experiments. J Mech Phys Solids 49: 1421–1443
Li S, Mear ME (1998) Singularity-reduced integral equations for displacement discontinuities in three-dimensional linear elastic media. Int J Fract 93: 87–114
Li S, Mear ME, Xiao L (1998) Symmetric weak-form integral equation method for three dimensional fracture analysis. Comput Methods Appl Mech Engrg 151: 435–459
Movchan AB, Gao H, Willis JR (1998) On perturbations of plane cracks. Int J Solids Struct 35: 3419–3453
Murakami Y (1987) Stress intensity factors handbook. Pergamon, Oxford
Pollard DD, Segall PE, Delaney PT (1982) Formation and interpretation of dilatant echelon cracks. Geol Soc Am Bull 93: 1291–1303
Raju IS, Newman JC (1977) Three-dimensional finite-element analysis of finite-thickness fracture specimens, Technical Report NASA TND-8414, NASA Langley Research Center, Hampton, VA 23665
Schroth JG, Hirth JP, Hoagland RG, Rosenfeld AR (1987) Combined mode-I-mode-III fracture of a high strength low alloy steel. Met Trans 18A: 1061–1072
Smekal A (1953) Zum Bruchvogang bei sprodem Stoffrerhalten unter ein und mehrachsiegen Beanspringen. Osterr Ing Arch 7: 49–70
Sommer E (1969) Formation of fracture ‘lances’ in glass. Eng Frac Mech 1: 539–546
Sukumar N, Moes N, Moran B, Belytschko T (2000) Extended finite element method for three-dimensional crack modeling. Int J Numer Methods Engrg 48: 1549–1570
Xu G, Bower AF, Ortiz M (1994) An analysis of non-planar crack growth under mixed mode loading. Int J Solids Struct 31: 2167–2193
Yates JR, Miller KJ (1989) Mixed-mode (I–III) fatigue thresholds in a forging steel. Fatigue Fract Eng Mater and Struct 12: 259–270
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Lin, B., Mear, M.E. & Ravi-Chandar, K. Criterion for initiation of cracks under mixed-mode I + III loading. Int J Fract 165, 175–188 (2010). https://doi.org/10.1007/s10704-010-9476-7
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10704-010-9476-7