Sudden Appearance of a Crack in a Stretched Finite Strip

1978 ◽  
Vol 45 (2) ◽  
pp. 277-280 ◽  
Author(s):  
E. P. Chen
Keyword(s):  
Stress Intensity Factor ◽  
Dynamic Stress ◽  
Dynamic Stress Intensity Factor ◽  
Elastic Strip ◽  
Central Crack ◽  
Mathematical Solution ◽  
Finite Strip ◽  
Load Transmission ◽  
Sudden Appearance ◽  
Laplace And Fourier Transform

The dynamic response of a central crack in a finite elastic strip was considered in this study. The crack was assumed to appear suddenly when the strip is being stretched at its two ends. Laplace and Fourier transform techniques were used to formulate the mathematical solution. Numerical results on the dynamic stress-intensity factor were obtained. The influence of inertia, finite boundaries and their interactions on the load transmission to the crack tip were discussed.

The Dynamic Stress Intensity Factor Due to Arbitrary Screw Dislocation Motion

1983 ◽  
Vol 50 (2) ◽  
pp. 383-389 ◽  
Author(s):  
L. M. Brock
Keyword(s):  
Stress Intensity Factor ◽  
Stress Intensity ◽  
Intensity Factor ◽  
Plane Wave ◽  
Screw Dislocation ◽  
Dynamic Stress ◽  
Critical Level ◽  
Dynamic Stress Intensity Factor ◽  
Dislocation Motion ◽  
Crack Edge

The dynamic stress intensity factor for a stationary semi-infinite crack due to the motion of a screw dislocation is obtained analytically. The dislocation position, orientation, and speed are largely arbitrary. However, a dislocation traveling toward the crack surface is assumed to arrest upon arrival. It is found that discontinuities in speed and a nonsmooth path may cause discontinuities in the intensity factor and that dislocation arrest at any point causes the intensity factor to instantaneously assume a static value. Morever, explicit dependence on speed and orientation vanish when the dislocation moves directly toward or away from the crack edge. The results are applied to antiplane shear wave diffraction at the crack edge. For an incident step-stress plane wave, a stationary dislocation near the crack tip can either accelerate or delay attainment of a critical level of stress intensity, depending on the relative orientation of the crack, the dislocation, and the plane wave. However, if the incident wave also triggers dislocation motion, then the delaying effect is diminished and the acceleration is accentuated.

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