The solution of cracks emanating from circular holes

1996 ◽  
Vol 31 (3) ◽  
pp. 235-242 ◽  
Author(s):  
S Lin ◽  
D A Hills ◽  
D Nowell
Keyword(s):  
Stress Intensity ◽  
Stress Intensity Factors ◽  
Crack Tip ◽  
Multiple Cracks ◽  
Intensity Factors ◽  
Distributed Dislocation ◽  
Circular Holes ◽  
Remote Loading ◽  
Crack Tip Stress

A method for finding crack tip stress intensity factors for cracks emanating from circular holes, and subject to arbitrary remote loading, is described. Cases of single and multiple cracks are treated, using the distributed dislocation approach.

Crack tip stress intensity factors for a crack emanating from a semi-infinite notch with application to the avoidance of fatigue in complete contacts

2008 ◽  
Vol 223 (4) ◽  
pp. 789-794 ◽  
Author(s):  
A G Philipps ◽  
S Karuppanan ◽  
N Banerjee ◽  
D A Hills
Keyword(s):  
Stress Intensity ◽  
Stress Intensity Factors ◽  
Crack Tip ◽  
Crack Development ◽  
Short Crack ◽  
Length Scale ◽  
Intensity Factors ◽  
Reference Length ◽  
Complete Contact ◽  
Crack Tip Stress

Crack tip stress intensity factors are found for the problem of a short crack adjacent to the apex of a notch, and lying perpendicular to one of the notch faces. Loading is represented by the two Williams eigensolutions, the ratio between which provides a reference length scale and permits a comprehensive display of the solution. The results are applied to the problem of a crack starting from the edge of a notionally adhered complete contact, and conditions for the avoidance of crack development are found.

An Experimental Investigation of the Crack Tip Stress Intensity Factors in Plates Under Cylindrical Bending

1962 ◽  
Vol 84 (4) ◽  
pp. 542-546 ◽  
Author(s):  
Fazil Erdogan ◽  
Ozcan Tuncel ◽  
Paul C. Paris
Keyword(s):  
Stress Intensity Factor ◽  
Stress Intensity ◽  
Intensity Factor ◽  
Stress Intensity Factors ◽  
Crack Tip ◽  
Tensile Tests ◽  
Critical Value ◽  
Intensity Factors ◽  
Cylindrical Bending ◽  
Crack Tip Stress

This experimental study was undertaken to investigate the validity of the theory based on the crack tip stress intensity factors to explain the fracture of thin cracked plates subjected to static bending moments. Plexiglas sheets were used as specimens and the loading was pure cylindrical bending. The results indicate that there is in fact a critical value of the stress intensity factor at which the crack starts growing. It was found that, while in static tensile tests the crack growth was unstable, in the case of bending, the external load (here, the bending moment) which starts the crack growing is not sufficient for the complete fracture of the plate if it is maintained constant. That is, when the critical value of the stress intensity factor is reached, the crack starts growing on the tensile side of the plate whereupon the crack tip takes a triangular shape and the system again becomes stable. In order to make the crack grow further, a considerable increase in the load is required.

Dislocations in an arbitrary angle wedge. Part II: Cracks in the wedge

2021 ◽  
pp. 030932472110477
Author(s):  
Daniel J Riddoch ◽  
Nils Cwiekala ◽  
David A Hills
Keyword(s):  
Stress Intensity ◽  
Crack Length ◽  
Stress Intensity Factors ◽  
Wedge Angle ◽  
Crack Tip ◽  
Intensity Factors ◽  
Arbitrary Angle ◽  
Crack Angle ◽  
Crack Tip Stress

We describe a method for calculating the crack tip stress intensity factors for the problem of one or two cracks at the apex of an arbitrary angle wedge. The kernels for a dislocation in an arbitrary angle wedge described in part 1 of this paper are used extensively. Consideration is given to variations of crack length, crack angle and wedge angle.

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