Influence of stress intensity and crack speed on fracture surface topography: mirror to mist transition

The transition from very smooth “mirror” crack growth to the early stages of roughening associated with “mist” has been investigated using a range of surface topography techniques. The fracture mechanics properties of the brittle, glassy and isotropic epoxy resin used in this work were characterized using compact tension (CT) and double torsion (DT) tests (KIc=0.65 MN m−3/2). In the DT test, the mist to mirror transition occurred over a large section of the test sample and this facilitated examination by optical microscopy, scanning electron microscopy, atomic force microscopy and non-contact laser profilometry. Measurements on Wallner lines and river lines were used to map the crack velocities and directions over the fracture surface. The transition from mist to mirror, for a decelerating crack, occurred at a crack velocity, vc=0.1 vt, where vt is the shear wave velocity. There was a sharp change in roughness at the transition but no discontinuity in the crack deceleration behaviour. Two main topographical features were observed at the transition: firstly, undulations in the mirror region which decreased in amplitude away from the transition for a decelerating crack and, by implication, vice versa; secondly, a progressive decrease in river line density (for a decelerating crack). Detailed atomic force microscope profilometry was used to determine the surface topography associated with these features. The results provide an insight into the development of crack instabilities under dynamic conditions and a basis for interpreting the progressive development of roughness up to macroscopic bifurcation.

[1]  D. G. Holloway,et al.  Microstructure of the mist zone on glass fracture surfaces , 1968 .

[2]  S. J. Shaw,et al.  Deformation and fracture behaviour of a rubber-toughened epoxy: 1. Microstructure and fracture studies , 1983 .

[3]  W. Fourney,et al.  On the uniqueness of the stress intensity factor — crack velocity relationship , 1985 .

[4]  E. Yoffe,et al.  The moving Griffith crack , 1951 .

[5]  K. Ravi-Chandar,et al.  An experimental investigation into dynamic fracture: I. Crack initiation and arrest , 1984 .

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

[7]  P. Leevers Crack-front shape effects in the double torsion test , 1982 .

[8]  Ch. De Freminville Recherches sur la fragilité - L’Éclatement , 1914 .

[9]  J. F. Kalthoff,et al.  On the measurement of dynamic fracture toughnesses — a review of recent work , 1985 .

[10]  J. E. Field,et al.  Brittle Fracture: its Study and Application , 1971 .

[11]  K. Ravi-Chandar,et al.  An experimental investigation into dynamic fracture: III. On steady-state crack propagation and crack branching , 1984 .

[12]  Robert J. Young,et al.  Stability of crack propagation in epoxy resins , 1977 .

[13]  J. Rice,et al.  Three-dimensional perturbation solution for a dynamic planar crack moving unsteadily in a model elastic solid , 1994 .

[14]  Rw Rice,et al.  Ceramic Fracture Features, Observations, Mechanisms, and Uses , 1984 .

[15]  J. Kirchner,et al.  Fracture Mechanics of Fracture Mirrors , 1979 .

[16]  John W. Hutchinson,et al.  Dynamic Fracture Mechanics , 1990 .

[17]  Helmut Wallner,et al.  Linienstrukturen an Bruchflächen , 1939 .

[18]  Kazuo Arakawa,et al.  Relationships between fracture parameters and fracture surface roughness of brittle polymers , 1991 .

[19]  D. G. Holloway,et al.  On the shape and size of the fracture zones on glass fracture surfaces , 1966 .

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

[21]  R. Jaffee,et al.  Deformation and fracture of high polymers. , 1973, Science.

[22]  H. Kausch,et al.  Some geometrical observations on crack front profiles in PMMA double torsion specimens , 1982 .

[23]  Z. Djordjević,et al.  Fractal and topological characterization of branching patterns on the fracture surface of cross-linked dimethacrylate resins , 1995, Journal of Materials Science.

[24]  A. Rosenfield,et al.  Criterion for Fracture‐Mirror Boundary Formation in Ceramics , 1980 .

[25]  E. Yoffe,et al.  LXXV. The moving griffith crack , 1951 .

[26]  Kazuo Arakawa,et al.  Dependence of crack acceleration on the dynamic stress-intensity factor in polymers , 1987 .

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

[28]  K. Ravi-Chandar,et al.  An experimental investigation into dynamic fracture: II. Microstructural aspects , 1984 .

[29]  W. B. Bradley,et al.  Fracture Dynamics of Homolite-100 , 1973 .

[30]  B. Lawn Fracture of Brittle Solids by Brian Lawn , 1993 .

[31]  K. Ravi-Chandar,et al.  An experimental investigation into dynamic fracture: IV. On the interaction of stress waves with propagating cracks , 1984 .

[32]  Fracture mechanics description of fracture mirror formation in single crystals , 1992 .

[33]  D. Hull The evolution of ‘cone’ cracks under axi-symmetric loading conditions , 1994 .