Application of bridging-law concepts to short-fibre composites Part 3: Bridging law derivation from experimental crack profiles

Abstract This is the third paper in a series of four where notch sensitivity, fracture energy and bridging laws are studied in short-fibre polymer composites. Here, bridging laws are derived from experimental crack-opening profiles in centre-hole notched tensile specimens. The materials studied are three types of commercial glass–mat composites with different reinforcement structures and matrices. The materials have softening bridging laws and the calculated fracture energies from bridging laws are in good agreement with values determined directly by experiment. The calculated maximum local bridging stress is found to be higher than the uniaxial tensile strength. An outline of a failure criterion for notched specimens based on the crack-bridging approach is presented.

[1]  A. Janne Carlsson,et al.  Weight Functions and Stress Intensity Factor Solutions , 1991 .

[2]  Mohamed Maalej,et al.  Effect of Fiber Rupture on Tensile Properties of Short Fiber Composites , 1995 .

[3]  J. Karger‐Kocsis,et al.  Polypropylene : structure, blends and composites , 1995 .

[4]  J. Rice A path-independent integral and the approximate analysis of strain , 1968 .

[5]  Hui Chung-Yuen,et al.  Effects of interface debonding on the toughness of ductile-particle reinforced ceramics , 1990 .

[6]  Z. Suo,et al.  On the tensile properties of a fiber reinforced titanium matrix composite. II: Influence of notches and holes , 1994 .

[7]  A. Evans,et al.  The mechanics of matrix cracking in brittle-matrix fiber composites , 1985 .

[8]  John W. Hutchinson,et al.  Models of fiber debonding and pullout in brittle composites with friction , 1990 .

[9]  Zhigang Suo,et al.  Remarks on Crack-Bridging Concepts , 1992 .

[10]  Bent F. Sørensen,et al.  Controlled crack growth in ceramics: The DCB specimen loaded with pure moments , 1996 .

[11]  M Sjödahl,et al.  Electronic speckle photography: measurement of in-plane strain fields through the use of defocused laser speckle. , 1995, Applied optics.

[12]  Z. Suo,et al.  Notch Ductile-to-Brittle Transition Due to Localized Inelastic Band , 1993 .

[13]  L. Berglund,et al.  Glass mat reinforced polypropylene , 1995 .

[14]  L. Berglund,et al.  Application of bridging-law concepts to short-fibre composites 4. FEM analysis of notched tensile specimens , 2000 .

[15]  Brian N. Cox,et al.  Stable and unstable solutions for bridged cracks in various specimens , 1991 .

[16]  L. Berglund,et al.  Application of bridging-law concepts to short-fibre compositesPart 2: Notch sensitivity , 2000 .

[17]  Brian N. Cox,et al.  The determination of crack bridging forces , 1991, International Journal of Fracture.

[18]  L. N. McCartney,et al.  Mechanics of matrix cracking in brittle-matrix fibre-reinforced composites , 1987, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[19]  L. McCartney General solution of a certain mixed boundary value crack problem , 1983 .

[20]  Z. Suo,et al.  Notch-sensitivity and shear bands in brittle matrix composites , 1994 .

[21]  G. Bao,et al.  Fatigue crack growth in fiber-reinforced metal-matrix composites , 1994 .

[22]  G. Bao,et al.  On the strength of ductile particle reinforced brittle matrix composites , 1993 .

[23]  M. Sjödahl Electronic speckle photography applied to in-plane deformation and strain field measurements , 1995 .

[24]  Tove Jacobsen,et al.  Large scale bridging in compos-ites: R-curve and bridging laws , 1998 .

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

[26]  C. Hong,et al.  A new weight function approach using indirect boundary integral method , 1995 .

[27]  P. Gu Notch sensitivity of fiber-reinforced ceramics , 1993 .

[28]  L. Berglund,et al.  Notch sensitivity and damage mechanisms of glass mat reinforced polypropylene , 1997 .

[29]  B. Cox Extrinsic factors in the mechanics of bridged cracks , 1991 .

[30]  J. Newman An improved method of collocation for the stress analysis of cracked plates with various shaped boundaries , 1971 .

[31]  C. Osborn Fracture : the proceedings of the First Tewksbury Symposium held by the Faculty of Engineering of the University of Melbourne, August 26th-30th, 1963 , 1965 .

[32]  Lars Berglund,et al.  Application of bridging-law concepts to short-fibre compositesPart 1: DCB test procedures for bridging law and fracture energy , 2000 .

[33]  S. Östlund FRACTURE MODELLING OF BRITTLE-MATRIX COMPOSITES WITH SPATIALLY DEPENDENT CRACK BRIDGING , 1995 .

[34]  A. Carpinteri Cusp catastrophe interpretation of fracture instability , 1989 .

[35]  Mikael Sjödahl,et al.  Electronic speckle photography: increased accuracy by nonintegral pixel shifting. , 1994, Applied optics.