Application of caustic method to determining stress intensity factor of compressive shear crack

2005 ◽  
Vol 18 (4) ◽  
pp. 483-489
Author(s):  
Shun-yun Chen ◽  
Zhao-yong Xu ◽  
Run-hai Yang ◽  
Jin-ming Zhao ◽  
Yun-yun Wang ◽  
...  
1985 ◽  
Vol 52 (4) ◽  
pp. 853-856 ◽  
Author(s):  
J. R. Walton

In a previous paper, the dynamic, steady-state propagation of a semi-infinite antiplane shear crack was considered for an infinite, general linearly viscoelastic body. Under the assumptions that the shear modulus is a positive, nonincreasing continuous and convex function of time, convenient, closed-form expressions were derived for the stress intensity factor and for the entire stress distribution ahead of and in the plane of the advancing crack. The solution was shown to have a simple, universal dependence on the shear modulus and crack speed from which qualitative and quantitative information can readily be gleaned. Here, the corresponding problem for a general, linearly viscoelastic layer is solved. An infinite series representation for the stress intensity factor is derived, each term of which can be calculated recursively in closed form. As before, a simple universal dependence on crack speed and material properties is exhibited.


2005 ◽  
Vol 297-300 ◽  
pp. 1579-1584
Author(s):  
Do Yeon Hwang ◽  
Akira Shimamoto ◽  
Ryo Kubota

In this study, the dynamic behaviors of cracks under dynamic biaxial stress are investigated. We conduct dynamic loading fracture experiments on the aluminum (2024-T3) and the magnesium alloy (AZ31B-O) under equitable biaxial stress with a hydraulic high-speed biaxial experimental machine. The processed specimens are cruciform with a crack. Different kinds of cracks are defined by their crack angles. We analyze the results by the caustic method. We obtained the stress intensity factor and the fracture toughness value in the neighborhood of the crack tip under dynamic biaxial stress. We analyzed the obtained data, and then, we compared results.


2001 ◽  
Author(s):  
Y. Huang ◽  
H. Gao

Abstract We study a mode II crack suddenly stopping after propagating intersonically for a short time. The solution is obtained by superposing the fundamental solution and the auxiliary problem of a static crack emitting dynamic dislocations such that the relative crack face displacement in the fundamental solution is negated ahead of where the crack tip has stopped. We find that, after the crack stops moving, the stress intensity factor rapidly rises to a finite value and then starts to change gradually toward the equilibrium value for a static crack. A most interesting feature is that the static value of stress intensity is reached neither instantaneously like a suddenly stopping subsonic crack nor asymptotically like a suddenly stopping edge dislocation. Rather, the dynamic stress intensity factor changes continuously as the shear and Rayleigh waves catch up with the stopped crack tip from behind, approaches negative infinity when the Rayleigh wave arrives, and then suddenly assumes the equilibrium static value when all the waves have passed by. This study is an important step toward the study of intersonic crack propagation with arbitrary, non-uniform velocities.


2020 ◽  
Vol 59 (32) ◽  
pp. 10168
Author(s):  
Liyun Yang ◽  
Huanning Hu ◽  
Ye Song ◽  
Yuh J. Chao

1992 ◽  
Vol 100 (1164) ◽  
pp. 1007-1010 ◽  
Author(s):  
Toshio OGASAWARA ◽  
Tohru AKIBA ◽  
Keizo OTANI ◽  
Yoshio AKIMUNE ◽  
Koji SHIMIZU

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