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Stress Intensity Factor of Inclined Internal Edge Crack in Cylindrical Pressure Vessel

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Abstract

In this work, the stress intensity factor of inclined edge cracks introduced on the inner surface of a cylindrical pressure vessel is analyzed through numerical simulation. The fracture analysis was performed using a two-dimensional axisymmetric finite element model. The results reveal that, as the crack inclination increases beyond 30o, mode II loading becomes dominant. As the crack length increases, mode II loading acts in a profound manner in the component. In addition, the stress intensity factor of inclined crack was examined in the presence of multiple cracks. It was found that after a certain spacing between the inclined and neighboring crack, the ratio of mode I to mode II remains constant due to the non-interaction of stress fields around the crack.

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Abbreviations

a :

Crack length

d :

Diameter of the pressure vessel

l :

Distance between the cracks

p :

Internal pressure

t:

Thickness of the pressure vessel

E :

Elastic modulus

p f :

Failure pressure

S 22 :

Normal stress along Y-direction

S 12 :

Shear stress

θ :

Angle of inclination of crack

σ :

Normal stress

τ :

Shear stress

σ h :

Hoop stress

l :

Longitudinal stress

σ eq :

Equivalent von Mises stress

1, 2, and 3 :

Principal stresses

ϑ :

Poisson’s ratio

σ y :

Yield strength

K I :

Mode I stress intensity factor

K II :

Mode II stress intensity factor

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Correspondence to Arunkumar Subbaiah.

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Subbaiah, A., Bollineni, R. Stress Intensity Factor of Inclined Internal Edge Crack in Cylindrical Pressure Vessel. J Fail. Anal. and Preven. 20, 1524–1533 (2020). https://doi.org/10.1007/s11668-020-00948-0

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