Dugdale model for an expanding crack under shear stress

•Relaxation of an expanding crack by plastic flow under a uniform in-pane or anti-plane shear stress is studied using Dugdale model.•Explicit relations among the applied stress, yield stress, plastic zone size, and crack speed are established.•The inertial effect is the most significant for mode I,...

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Bibliographic Details
Published in:Engineering fracture mechanics 2013-05, Vol.104, p.198-207
Main Authors: Wu, K.-C., Huang, S.-M.
Format: Article
Language:English
Subjects:
Dugdale model
Energy release rate
Expanding crack
Fracture mechanics
Inertial
Plastic flow
Plastic relaxation
Plastic zones
Shear stress
Stresses
Yield stress
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Summary:•Relaxation of an expanding crack by plastic flow under a uniform in-pane or anti-plane shear stress is studied using Dugdale model.•Explicit relations among the applied stress, yield stress, plastic zone size, and crack speed are established.•The inertial effect is the most significant for mode I, followed by modes III and II at given crack tip speed and applied stress.•When the plastic zone tip is moving at the Rayleigh wave speed, the applied stress is greater than the yield stress for mode I in general but smaller than the yield stress for mode II unless the crack tip speed is very close to the Rayleigh wave speed. Relaxation of an expanding crack by plastic flow under a uniform in-plane or anti-plane shear stress is studied using Dugdale model. Explicit relations among the applied stress, yield stress, plastic zone size, and crack speed are established. Expressions for the relative crack face displacements and the rates of plastic work are also obtained. It is shown that at a fixed applied stress the relative plastic zone size, the normalized relative crack tip displacement, and the normalized energy release rate decrease with increasing crack speed. Furthermore, the inertial effect is the most significant for mode I, followed by modes III and II.
ISSN:0013-7944
1873-7315
DOI:10.1016/j.engfracmech.2013.03.030