The stress intensity factor of a crack emanating from a circular hole in a finite plate by boundary collocation method

1990 ◽  
Vol 43 (2) ◽  
pp. 97-108 ◽  
Author(s):  
Y. H. Wang ◽  
Y. K. Cheung ◽  
C. W. Woo
1990 ◽  
Vol 112 (4) ◽  
pp. 374-377
Author(s):  
Y. H. Wang ◽  
C. Z. Li

The stress intensity factor (SIF) corresponding to two collinear cracks emanating from the internal boundary of a tube is calculated by boundary collocation method (BCM). Uniform internal pressure acts in the cylinder and on the crack surfaces or a uniform external tension on the outer boundary. For different ratios of the internal to the external radius, Ri/Re, and different ratios of the crack length to the cylinder thickness, 1/(Re−Ri), SIF values have been obtained. At the same time, the calculation shows that the convergence of the method is satisfactory.


1964 ◽  
Vol 86 (4) ◽  
pp. 681-684 ◽  
Author(s):  
A. S. Kobayashi ◽  
R. D. Cherepy ◽  
W. C. Kinsel

The advantages of the complex variable method are combined with the numerical procedure of collocation for estimating the stress intensity factors in finite, cracked plates subjected to in-plane loadings. In this approach, the complex stress functions for an infinite plate problem are modified to meet the boundary conditions for a finite plate with identical crack configuration. This procedure produces a system of linear equations which can be programmed readily on high-speed computers. The procedure is used to find the elastic stress intensity factor at the crack tip in a centrally notched plate in uniaxial tension. The resulting values are nearly identical to the stress intensity values determined analytically by the theory of elasticity. This numerical procedure should be useful for designers and analysts working in the fields of fracture mechanics and fail-safe concepts.


2011 ◽  
Vol 225-226 ◽  
pp. 937-940
Author(s):  
Bi Yong Li ◽  
Zhe Ming Zhu ◽  
Zhang Tao Zhou

The existence of water affects the mechanical properties of cracked rock mass. Taking into account the friction generated by the crack closure, the stress intensity factor of the center cracked plate subjected to compression and seepage pressure was obtained through the theoretical analysis and numerical calculation of the boundary collocation method. The results show that crack tip stress intensity factor increases with the increasing of the seepage pressure, but decreases with the increasing of crack surface friction and the confining pressure. Finally a failure criterion for cracked rock mass under seepage pressure and confining pressure is developed.


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