Criterion for initiation of cracks under mixed-mode I + III loading

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.

[1]  David J. Smith,et al.  A STUDY OF SUPERIMPOSED FRACTURE MODES I, II AND III ON PMMA , 1993 .

[2]  James C. Newman,et al.  Three dimensional finite-element analysis of finite-thickness fracture specimens , 1977 .

[3]  T. Belytschko,et al.  Extended finite element method for three-dimensional crack modelling , 2000 .

[4]  K. J. Miller,et al.  Mixed mode (I+III) fatigue thresholds in a forging steel , 1989 .

[5]  M. Mear,et al.  Singularity-reduced integral equations for displacement discontinuities in three-dimensional linear elastic media , 1998 .

[6]  M. Cooke,et al.  Fracture propagation paths under mixed mode loading within rectangular blocks of polymethyl methacrylate , 1996 .

[7]  Ted Belytschko,et al.  AN EXTENDED FINITE ELEMENT METHOD (X-FEM) FOR TWO- AND THREE-DIMENSIONAL CRACK MODELING , 2000 .

[8]  J. Wiebesiek,et al.  Comparison of predictions by mode II or mode III criteria on crack front twisting in three or four point bending experiments , 2008 .

[9]  K. Ravi-Chandar,et al.  Dynamic crack response to a localized shear pulse perturbation in brittle amorphous materials: on crack surface roughening , 2005 .

[10]  Huajian Gao,et al.  On perturbations of plane cracks , 1998 .

[11]  R. Salganik,et al.  Brittle fracture of solids with arbitrary cracks , 1974 .

[12]  S. Li,et al.  Symmetric weak-form integral equation method for three-dimensional fracture analysis , 1998 .

[13]  D. Hull,et al.  The effect of mixed mode I/III on crack evolution in brittle solids , 1994 .

[14]  J. Leblond,et al.  Crack paths in plane situations-II. Detailed form of the expansion of the stress intensity factors. , 1992 .

[15]  Huajian Gao.  Three-dimensional slightly nonplanar cracks , 1992 .

[16]  J. Hirth,et al.  Combined mode I-mode III fracture of a high strength low-alloy steel , 1987 .

[17]  Wolfgang G. Knauss,et al.  An observation of crack propagation in anti-plane shear , 1970 .

[18]  Michael Ortiz,et al.  An analysis of non-planar crack growth under mixed mode loading , 1994 .

[19]  D. Pollard,et al.  Formation and interpretation of dilatant echelon cracks , 1982 .

[20]  Y. Murakami.  Stress Intensity Factors Handbook , 2006 .

[21]  Huajian Gao,et al.  Shear Stress Intensity Factors for a Planar Crack With Slightly Curved Front , 1986 .

[22]  V. Lazarus,et al.  Crack front rotation and segmentation in mixed mode I + III or I + II + III. Part I: Calculation of stress intensity factors , 2001 .

[23]  E. Sommer.  Formation of fracture ‘lances’ in glass , 1969 .

[24]  J. Sethna,et al.  Derivation of a general three-dimensional crack-propagation law: A generalization of the principle of local symmetry. , 1993, Physical review. B, Condensed matter.

[25]  V. Lazarus,et al.  Crack front rotation and segmentation in mixed mode I+III or I+II+III. Part II: Comparison with experiments , 2001 .

[26]  D. Hull.  Tilting cracks: the evolution of fracture surface topology in brittle solids , 1993 .

[27]  K. Ravi-Chandar,et al.  Interaction of shear waves and propagating cracks. , 2003, Physical review letters.