Crack growth resistance curves in strain-softening materials

Roger M.L. Foote; Yiu Wing Mai; Brian Cotterell

doi:10.1016/0022-5096(86)90039-6

Crack growth resistance curves in strain-softening materials

Roger M.L. Foote, Yiu Wing Mai, Brian Cotterell

Research output: Journal article publication › Journal article › Academic research › peer-review

301 Citations (Scopus)

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_Rcurves are also studied.

Original language	English
Pages (from-to)	593-607
Number of pages	15
Journal	Journal of the Mechanics and Physics of Solids
Volume	34
Issue number	6
DOIs	https://doi.org/10.1016/0022-5096(86)90039-6
Publication status	Published - 1986
Externally published	Yes

ASJC Scopus subject areas

Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering

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10.1016/0022-5096(86)90039-6

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title = "Crack growth resistance curves in strain-softening materials",

abstract = "A theoretical model has been developed for the crack growth resistance (KR) 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 KR 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 KR 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 KRcurves are also studied.",

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AU - Foote, Roger M.L.

AU - Mai, Yiu Wing

AU - Cotterell, Brian

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N2 - A theoretical model has been developed for the crack growth resistance (KR) 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 KR 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 KR 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 KRcurves are also studied.

AB - A theoretical model has been developed for the crack growth resistance (KR) 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 KR 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 KR 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 KRcurves are also studied.

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Crack growth resistance curves in strain-softening materials

Abstract

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