On crack interaction and crack density in strain-induced cracking of brittle films on ductile substrates

Delannay, Francis
(1991) Acta Metallurgica et Materialia — Vol. 39, n° 6, p. 1061-1072 (1991)

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  • Delannay, Francisorcid-logoUCLouvain
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Abstract
Uniaxial straining of a brittle film on a ductile substrate induces the formation of an array of parallel cracks whose density increases with increasing strain. An analytical function is derived for the energy release rate of a crack propagating in the vicinity of already existing cracks. Using this function, a statistical theory is developed for relating the crack density to the population of flaws in the film. In order to assess these theoretical results, a test is proposed which allows the measurement of critical strains for crack propagation in the case of strong crack interaction. This test is applied on a model system consisting of a thin soda-lime glass slide adhesively bonded on an aluminum alloy. The viscoelastic nature of the adhesive determines the critical cracking strain of non-interacting cracks. The cracking strain of interacting cracks varies as a function of crack spacing in agreement with the proposed analytical function. A flaw density distribution function is calculated from the measured dependence of crack density on strain.
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Delannay, F. (1991). On crack interaction and crack density in strain-induced cracking of brittle films on ductile substrates. Acta Metallurgica et Materialia, 39(6), 1061-1072. https://hdl.handle.net/2078.5/149803 (Original work published 1991)