Approximate description of crack kinking and curving

被引:72
作者
Karihaloo, B.L. [1 ]
Keer, L.M. [1 ]
Nemat-Nasser, S. [1 ]
Oranratnachai, A. [1 ]
机构
[1] Department of Civil Engineering, Northwestern University, Evanston, IL, 60201, United States
来源
Journal of Applied Mechanics, Transactions ASME | 1981年 / 48卷 / 03期
关键词
Approximate descriptions - Crack kinking - Finite length - Growing cracks - In-plane stress - Mixed-Mode Loading - Second orders - Straight crack;
D O I
10.1115/1.3157665
中图分类号
学科分类号
摘要
An approximate description is given of the slightly out-of-plane growth of a straight crack under mixed-mode loading and in the presence of an in-plane stress. By using a perturbation technique, conditions are derived for the deviation of the crack from straightness. The allowance for the possible curvature of the quasi-statically growing crack, and the effect of the finite length of the main crack are included in the analysis, which retains second- order terms. In particular, it is shown that the curvature of the crack path depends on the in-plane stress and the derivatives of the stress-intensity factors with respect to the length of the main crack. The influence of the in-plane stress on the stability of the crack growth is also studied and the conclusions are the same as those reported by Cotter-ell and Rice. © 1981 by ASME.
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页码:515 / 519
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