Calculation of dynamic stress intensity factor of an interfacial crack under moving impacting loading

2009 ◽  
Author(s):  
Jin Cheng ◽  
Baoke Guo ◽  
Li Zhang
Keyword(s):  
Stress Intensity Factor ◽  
Stress Intensity ◽  
Intensity Factor ◽  
Dynamic Stress ◽  
Dynamic Stress Intensity Factor ◽  
Interfacial Crack

Dynamic Stress Intensity Factor for an Interfacial Crack on a Circular Cavity in Piezoelectric Media

2010 ◽  
Author(s):  
Tianshu Song ◽  
Dong Li ◽  
Tamman Merhej
Keyword(s):  
Stress Intensity Factor ◽  
Stress Intensity ◽  
Intensity Factor ◽  
Dynamic Stress ◽  
Piezoelectric Materials ◽  
Dynamic Stress Intensity Factor ◽  
Interfacial Crack ◽  
Physical Parameters ◽  
Circular Cavity ◽  
Piezoelectric Media

Dynamic stress intensity factor is investigated theoretically on two dissimilar piezoelectric media with an interfacial crack at the edge of a circular cavity subjected to time-harmonic incident anti-plane shearing in present paper. The formulations are based on the methods of Green’s function and conjunction. Dynamic stress intensity factor at the crack’s tip are obtained by solving boundary value problems with the methods of conjunction and crack-division technique. The calculating results are plotted so as to show how the frequencies of incident wave, all kinds of physical parameters of two dissimilar piezoelectric materials, applied electric loads and geometric parameters influence on the dynamic stress intensity factor (DSIF). While some of the calculating results are compared with other published documents.

Dynamic Stress on a Partially Bonded Fiber

1991 ◽  
Vol 58 (2) ◽  
pp. 404-409 ◽  
Author(s):  
Andrew Norris ◽  
Yang Yang
Keyword(s):  
Stress Intensity Factor ◽  
Stress Intensity ◽  
Intensity Factor ◽  
Dynamic Stress ◽  
Dynamic Stress Intensity Factor ◽  
Interfacial Crack ◽  
Resonance Phenomenon ◽  
Dimensionless Frequency ◽  
Asymptotic Results ◽  
The Matrix

The dynamic stress on a partially bonded fiber is analyzed for shear wave incidence, with particular attention given to the stress intensity factor at the neck joining the fiber to the matrix. The problem is formulated in terms of the unknown stress across the neck and the remainder of the fiber-matrix interface is modeled as a curved interfacial crack. Explicit asymptotic expressions are derived for the near and farfields that are valid in the frequency range in which the recently discussed resonance phenomenon occurs (Yang and Norris, 1991). This resonance is a rattling effect that is most prominent when the neck becomes very thin, and can occur at arbitrarily small values of the dimensionless frequency ka, where a is the radius of the fiber. The asymptotic results indicate that the dynamic stress intensity factor becomes unbounded as the neck vanishes, in contrast to the prediction of a purely quasistatic analysis that the stress intensity factor vanishes in the same limit.

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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