NDLI: Multiscale cohesive zone model for propagation of segmented crack fronts in mode I+III fracture

Content Provider	Springer Nature Link
Author	Leblond, Jean Baptiste Lazarus, Véronique Karma, Alain
Copyright Year	2015
Abstract	Quasistatic crack propagation in mixed-mode I+III fracture is widely observed to be unstable, the instability being characterized by the segmentation of the parent crack into a periodic array of daughter cracks shaped as flat facets rotated towards the principal stress axis. While there has been recent progress to characterize this instability, no global theory is presently available to describe all aspects of the propagation of the segmented front, including both “local” features like the angle of rotation of the facets and the ratio of their width to their spacing, and “global” ones like the effective energy-release-rate of the segmented crack front and the tendency of the facets to coarsen. This paper embarks on the development of such a theory, based on the assumption that the spacing of the facets is much smaller than their length, and asymptotic matching of outer and inner solutions for the mechanical fields on scales comparable to the facet length and spacing, respectively. The inner problem is shown to reduce to a 2D linear elastic fracture mechanics problem in the plane perpendicular to the crack propagation axis. The solution of this problem is used to develop an effective cohesive zone description of the crack front on a scale much larger than the facet spacing. Such a description leads to a system of 1D integral equations for the outer mechanical fields on the cohesive zone, which may be solved numerically. Numerical examples are given that notably illustrate the prediction of the effective energy-release-rate of the segmented crack front in terms of the various geometrical parameters; this energy-release-rate is predicted to be smaller for a segmented front than for the parent planar front, with the conclusion that segmentation acts as a toughening mechanism. Implications upon the phenomenon of facet coarsening are also briefly discussed.
Starting Page	167
Ending Page	189
Page Count	23
File Format	PDF
ISSN	03769429
Journal	International Journal of Fracture
Volume Number	191
Issue Number	1-2
e-ISSN	15732673
Language	English
Publisher	Springer Netherlands
Publisher Date	2015-02-17
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Crack propagation Mode I+III Tilted facets Cohesive zone model Matched asymptotic expansions Integral equations Characterization and Evaluation of Materials Mechanics Civil Engineering Automotive Engineering Mechanical Engineering
Content Type	Text
Resource Type	Article
Subject	Mechanics of Materials Computational Mechanics Modeling and Simulation

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