The calculation of stress intensity factors for combined tensile and shear loading

1975 ◽  
Vol 11 (4) ◽  
pp. 605-617 ◽  
Author(s):  
T. K. Hellen ◽  
W. S. Blackburn
1974 ◽  
Vol 41 (2) ◽  
pp. 502-506 ◽  
Author(s):  
F. W. Smith ◽  
D. R. Sorensen

The equations of elasticity are solved for the problem of a flat elliptical crack which has nonuniform shear stresses applied to its surfaces. The shear stresses are prescribed independently in two directions on the crack surface and are expressed in the form of a third-degree polynomial. Mode two and mode three stress-intensity factors are presented in analytical and graphical form as functions of position along the crack border.


2006 ◽  
Vol 312 ◽  
pp. 47-52
Author(s):  
Jie Cai Han ◽  
Bao Lin Wang

A periodic array of cracks in a functionally graded material under transient mechanical loading is investigated. Anti-plane shear loading condition is considered. A singular integral equation is derived, in which the crack surface displacement is the unknown function. Numerical results are obtained to illustrate the variations of the stress intensity factors as a function of the crack periodicity for different values of the material nonhomogeneity, either at the transient state or at the steady state. The material non-homogeneity can increase or reduce the stress intensity factors. Comparing with the single crack solution, it can be shown that multiple cracking can reduce the stress intensity factor significantly.


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