Dynamic Stress Concentration Around Two Coplanar Griffith Cracks in an Infinite Elastic Medium

1978 ◽  
Vol 45 (4) ◽  
pp. 803-806 ◽  
Author(s):  
S. Itou
Keyword(s):  
Stress Intensity ◽  
Stress Concentration ◽  
Elastic Medium ◽  
Stress Intensity Factors ◽  
Dynamic Stress ◽  
Expansion Method ◽  
Intensity Factors ◽  
Dual Integral Equations ◽  
Dynamic Stress Intensity Factors ◽  
Series Expansion Method

The dynamic problem presented here is for an infinite elastic medium weakened by two coplanar Griffith cracks in which a self-equilibrated system of pressure is varied harmonically with time. The problem is reduced to dual integral equations and solved by a series-expansion method. The dynamic stress-intensity factors are computed numerically.

Dynamic Anti-Plane Behavior of the Interaction Between a Crack and a Circular Cavity in a Piezoelectric Medium

2006 ◽  
Vol 324-325 ◽  
pp. 29-32 ◽  
Author(s):  
Tian Shu Song ◽  
Hong Liang Li ◽  
Jung Qiang Dong
Keyword(s):  
Stress Intensity ◽  
Stress Concentration ◽  
Stress Intensity Factors ◽  
Dynamic Stress ◽  
Piezoelectric Medium ◽  
Circular Cavity ◽  
Intensity Factors ◽  
Dynamic Stress Intensity Factors ◽  
Concentration Factors ◽  
Stress Concentration Factors

In this paper, the dynamic interaction is investigated theoretically between a crack and a circular cavity in an infinite piezoelectric medium under time-harmonic incident anti-plane shearing. The formulations are based on the method of complex variable and Green’s function. The resulting dynamic stress intensity factors at the crack’s tip and dynamic stress concentration factors at the cavity’s edge are obtained with crack-division technique. Numerical results are plotted to show how the frequencies of incident wave, the piezoelectric characteristic parameters of the material and the geometry of the crack and the circular cavity influence upon the dynamic stress intensity factors and dynamic stress concentration factors.

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