Theoretical and numerical investigations are made for crack path stability in a finite brittle solid under a predominantly Mode I loading condition. Based upon a first order perturbation solution, an "intermediate" range of stability (as compared with the "local" and "global'\* ranges) is introduced
Notes on the paths and stability of cracks
β Scribed by B. Cotterell
- Publisher
- Springer Netherlands
- Year
- 1966
- Tongue
- English
- Weight
- 386 KB
- Volume
- 2
- Category
- Article
- ISSN
- 1573-2673
No coin nor oath required. For personal study only.
β¦ Synopsis
The stress distribution at the tip of a crack can be e~;panded as a power series. The first term, usually called the stress intensity factor, determines the initiation of fracture in a brittle material. In this paper it is shown that the second, third and fourth terms have the following effects:
(a)'the second term controls the stability of the crack's direction, (b) the third term controls the stability of the crack's propagation, (c) ~he fourth term determines whether the maximum shear stress on the prolongation of the crack increases or decreases with distance from the crack tip.
π SIMILAR VOLUMES
In a previous paper an analysis of the path prediction for a single line crack in sheets of brittle material has been performed. In this work, the analysis is extended to a system of two collinear cracks embedded in an infinite medium subjected to biaxial loading. The interaction between the crack p
## Abstract As a common generalization of matchings and matroid intersections, W.H. Cunningham and J.F. Geelen introduced the notion of pathβmatchings. They proved a minβmax formula for the maximum value. Here, we exhibit a simplified version of their minβmax theorem and provide a purely combinator
Maps bounding stable and unstable crack propagation in three-point flexure beams are established using stability criteria for cracking in brittle solids. Results are presented for straight through and chevron notched cracks at different loading conditions, i.e. at constant load rate, crosshead speed