TENSION SOFTENING OF FIBRE-REINFORCED CEMENTITIOUS COMPOSITES

Abstract The complete tension softening behaviour of short-fibre-reinforced cementitious composites which exhibit extensive matrix cracking is established by combining a fracture mechanical approach for bridged, discontinuous cracks with a statistical approach for a bridged, through-crack via consistent relationships for the bridging stress. These relationships account for adhesive and frictional bonding of fibres along a crack and are capable of accommodating the effects of fibre content and pre-peak cracking upon the fibre-binder interfacial properties. The combined approach is adapted to mortars based on a conventional high-strength cement binder and a dense, homogeneous cement-silica binder (DSP composite), and good agreement is obtained between the uniaxial tensile strength so calculated and that based on the rule of mixtures. Although the tension softening model needs many geometrical and mechanical properties of the mix constituents, as well as of the hydration products (e.g. interfaces) and the initial post-peak crack configuration, it provides a powerful tool for microstructural design of fibre-reinforced cementitious composites, particularly DSP mortars.

[1]  Surendra P. Shah,et al.  Pullout Problem: Stress versus Fracture Mechanical Approach , 1990 .

[2]  Surendra P. Shah,et al.  Fracture of Concrete and Rock , 1989 .

[3]  Bhushan Lal Karihaloo,et al.  Design of concrete mixes for minimum brittleness , 1996 .

[4]  C. Hsueh Crack-wake interfacial debonding criteria for fiber-reinforced ceramic composites , 1996 .

[5]  L. F. Nielsen Elastic properties of two-phase materials , 1982 .

[6]  V. Li,et al.  Micromechanics of crack bridging in fibre-reinforced concrete , 1993 .

[7]  A. Hasegawa,et al.  Fracture Process and Bridging Zone Model and Influencing Factors in Fracture of Concrete , 1989 .

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

[9]  B. Karihaloo,et al.  Tension softening of quasi-brittle materials modelled by singly and doubly periodic arrays of coplanar penny-shaped cracks , 1992 .

[10]  Michael Ortiz,et al.  Microcrack coalescence and macroscopic crack growth initiation in brittle solids , 1988 .

[11]  W. Hansen,et al.  Tensile Strain Hardening and Multiple Cracking in High-Performance Cement-Based Composites Containing Discontinuous Fibers , 1993 .

[12]  Victor C. Li,et al.  A micromechanical model of tension-softening and bridging toughening of short random fiber reinforced brittle matrix composites , 1991 .

[13]  L. McCartney Crack propagation, resulting from a monotonic increasing applied stress, in a linear viscoelastic material , 1977 .

[14]  Surendra P. Shah,et al.  Fiber-Reinforced Cement Composites , 1992 .

[15]  B. L. Karihaloo,et al.  Doubly periodic arrays of bridged cracks and short fibre-reinforced cementitious composites , 1996 .

[16]  Antoine E. Naaman,et al.  Pull-Out Mechanism in Steel Fiber-Reinforced Concrete , 1976 .

[17]  Victor C. Li,et al.  Crack Trapping and Bridging as Toughening Mechanisms in High Strength Concrete , 1990 .

[18]  Bhushan Lal Karihaloo,et al.  Modelling of tension softening in quasi-brittle materials by an array of circular holes with edge cracks , 1991 .

[19]  S. Melin Why do cracks avoid each other? , 1983 .

[20]  B. Karihaloo,et al.  Tensile response of quasi-brittle materials , 1991 .

[21]  Surendra P. Shah,et al.  Micromechanics of failure of quasi-brittle materials , 1990 .

[22]  Victor C. Li,et al.  A meso-mechanical model of the tensile behaviour of concrete. part II: modelling of post-peak tension softening behaviour , 1989 .

[23]  J. G. Rots,et al.  Fracture Processes in Concrete. Rock and Ceramics , 1991 .

[24]  A. M. Brandt Cement-based Composites: Materials, Mechanical Properties and Performance , 1995 .

[25]  Victor C. Li,et al.  Postcrack Scaling Relations for Fiber Reinforced Cementitious Composites , 1992 .

[26]  B. Karihaloo Fracture mechanics and structural concrete , 1995 .

[27]  D. Shum Analysis of stable crack growth in brittle materials Part II: A bridge zone model , 1996 .

[28]  N. Banthia,et al.  Bond-slip characteristics of steel fibers in high reactivity metakaolin (HRM) modified cement-based matrices , 1996 .