Comparison of Stress Intensity Factor Coefficients for Plates and Cylinders Under Membrane Stress

2021 ◽  
Author(s):  
Darrell Lee ◽  
Russell Cipolla ◽  
Michael Liu
Author(s):  
Darrell R. Lee ◽  
Russell C. Cipolla ◽  
Michael C. Liu

Abstract Until the 2000 Edition of API-579 [1], the geometries (Ri/t, a/ℓ, a/t in cylinders or spheres) for which a complete set of stress intensity factor influence coefficients (Gi) existed was limited. To bridge that gap, many analysts have used the G0 and G1 coefficients for flat plate geometries to represent axial or circumferential flaws in cylinders. Because the cylindrical geometry contains additional stiffness effects due to curvature, it was generally assumed that the plate geometry (Ri/t = ∞) will be bounding and therefore conservative [2]. Since 2007, extensive sets of Gi coefficient have been published for plates, cylinders and spheres based on finite element models. These coefficients for cylinders have been curve fit and are available in Appendix A of the ASME Boiler and Pressure Vessel Code, Section XI [3]. This paper compares the G0 coefficients at the deepest point of semi-elliptical flaws from a plate to those for an OD and ID circumferential flaw in a cylinder to confirm the conservatism of the G0 coefficients from a plate geometry.


2020 ◽  
Vol 86 (10) ◽  
pp. 46-55
Author(s):  
S. I. Eleonsky ◽  
Yu. G. Matvienko ◽  
V. S. Pisarev ◽  
A. V. Chernov

A new destructive method for quantitative determination of the damage accumulation in the vicinity of a stress concentrator has been proposed and verified. Increase of damage degree in local area with a high level of the strain gradient was achieved through preliminary low-cycle pull-push loading of plane specimens with central open holes. The above procedure is performed for three programs at the same stress range (333.3 MPa) and different stress ratio values 0.33, – 0.66 and – 1.0, and vice versa for two programs at the same stress ratio – 0.33 and different stress range 333.3 and 233.3 MPa. This process offers a set of the objects to be considered with different degree of accumulated fatigue damages. The key point of the developed approach consists in the fact that plane specimens with open holes are tested under real operation conditions without a preliminary notching of the specimen initiating the fatigue crack growth. The measured parameters necessary for a quantitative description of the damage accumulation process were obtained by removing the local volume of the material in the form of a sequence of narrow notches at a constant level of external tensile stress. External load can be considered an amplifier enhancing a useful signal responsible for revealing the material damage. The notch is intended for assessing the level of fatigue damage, just as probe holes are used to release residual stress energy in the hole drilling method. Measurements of the deformation response caused by local removing of the material are carried out by electronic speckle-pattern interferometry at different stages of low-cycle fatigue. The transition from measured in-plane displacements to the values of the stress intensity factor (SIF) and the T-stress was carried out on the basis of the relations of linear fracture mechanics. It was shown that the normalized dependences of the stress intensity factor on the durability percentage for the first notch (constructed for four programs of cyclic loading with different parameters), reflect the effect of the stress ratio and stress range of the loading cycle on the rate of damage accumulation. The data were used to obtain the explicit form of the damage accumulation function that quantitatively describes damage accumulation process. The functions were constructed for different stress ratios and stress ranges.


2019 ◽  
Vol 485 (2) ◽  
pp. 162-165
Author(s):  
V. A. Babeshko ◽  
O. M. Babeshko ◽  
O. V. Evdokimova

The distinctions in the description of the conditions of cracking of materials are revealed. For Griffith–Irwin cracks, fracture is determined by the magnitude of the stress-intensity factor at the crack tip; in the case of the new type of cracks, fracture occurs due to an increase in the stress concentrations up to singular concentrations.


2020 ◽  
Vol 28 ◽  
pp. 226-233
Author(s):  
Behzad V. Farahani ◽  
Francisco Q. de Melo ◽  
Paulo J. Tavares ◽  
Pedro M.G.P. Moreira

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