Effect of reflected stress waves in finite specimens on the dynamic stress intensity factor of a propagating mode III crack

1980 ◽  
Vol 16 (10) ◽  
pp. 945-955
Author(s):  
P.H. Melville
Keyword(s):  
Stress Intensity Factor ◽  
Stress Intensity ◽  
Intensity Factor ◽  
Dynamic Stress ◽  
Dynamic Stress Intensity Factor ◽  
Stress Waves ◽  
Mode Iii ◽  
Mode Iii Crack

Dynamic Extension Problems Concerning Symmetrical Mode III Crack

2012 ◽  
Vol 457-458 ◽  
pp. 413-417
Author(s):  
Nian Chun Lü ◽  
Yun Hong Cheng ◽  
Jin Li Ji
Keyword(s):  
Stress Intensity Factor ◽  
Stress Intensity ◽  
Dynamic Stress ◽  
Hilbert Problem ◽  
Dynamic Stress Intensity Factor ◽  
Mode Iii ◽  
Mode Iii Crack ◽  
Symmetrical Mode ◽  
Self Similar ◽  
Riemann Hilbert Problem

By means of the theory of complex variable functions, dynamic extension problems concerning symmetrical mode Ⅲ crack were researched. The problems considered can be very facilely translated into Riemann-Hilbert problem by the measures of self-similar functions, and the general expressions of analytical solutions of the stress, the displacement and dynamic stress intensity factor under the conditions of motive variable loads Px2/t and Pt2/x2 which were applied the surfaces of mode Ⅲ crack, respectively, were gained.

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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