Abstract A theoretical model has been developed for the crack growth resistance ( K R ) curves in strain-softening materials with power law softening stress (σ)-crack opening displacement (δ) relationships. Both exact and approximate solution methods have been used to calculate K R curves for a fibre cement composite in a double-cantilever-beam (DCB) geometry. There is good agreement between these two solutions. When the crack growth is normalized with respect to the saturated softening (or fibre bridging) zone there is an almost unique K R curve which is independent of specimen geometry and initial crack length. The effects of the softening index ( n ) of the power law σ-δ relationship on the shapes, saturated softening zone lengths and plateau values of the K R curves are also studied.
[1]
A. Atkins.
Elastic and plastic fracture
,
1985
.
[2]
Leon M Keer,et al.
Crack growth in cement-based composites
,
1984
.
[3]
P. Petersson.
Crack growth and development of fracture zones in plain concrete and similar materials
,
1981
.
[4]
A. Hillerborg,et al.
Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements
,
1976
.
[5]
V. Buchwald,et al.
An exact solution for the stress intensity factor for a double cantilever beam
,
1985,
International Journal of Fracture.
[6]
Yiu-Wing Mai,et al.
Crack Stability and Toughness Characteristics in Brittle Materials
,
1986
.