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Liu, Yu Fu; Tanaka, Yoshihisa; Masuda, Chitoshi

doi:10.1023/a:1007463422102

Cited by 2 publications

(1 citation statement)

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“…This local energy method was shown to provide good results if the layout of the mesh around the crack tip is homogeneous (Buchholz et al 1999). The adequacy of the mesh refinement was evaluated by performing a convergence study and comparing with the results of (Liu et al 1997) who consider the problem of a matrix crack approaching an interface by solving singular integral equations. The finite element library Modulef is used as the analysis tool (Bernadou et al 1988).…”

Section: Appendix Finite Element Analysismentioning

confidence: 99%

Competition between deflection and penetration at an interface in the vicinity of a main crack

et al. 2008

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The mechanisms which govern crack deflection and crack penetration at interfaces must be understood in order to design composites and layered materials. Experimental observations have shown that a realistic description of crack deflection must take into account the initiation of fracture mechanisms by the stress field of an approaching matrix crack. Fracture mechanisms which include interfacial debonding and penetration are thus analysed in the vicinity of a main crack. For this purpose, a unit cell consisting of a single fibre surrounded by a cylindrical tube of matrix is studied with the help of a finite element model. Initiation stress and nucleation length are determined for both mechanisms by using an initiation criterion which requires to fulfil an energy and a stress condition. Investigating the competition between the initiation of the two mechanisms provides decohesion/penetration maps which depend on the strength and toughness of interface and fibre. It is shown that the debonding or penetration condition can be reduced to an energy or a stress condition depending on the relative value of some characteristic fracture lengths of interface and fibre. Finally it is noted that a low toughness interface is not systematically a sufficient condition to promote the initiation of deflection.

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Section: Appendix Finite Element Analysismentioning

confidence: 99%