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Effect of Crack Inclination and Residual Stress on the Stress Intensity Factor of Semi-elliptical Crack in a Pressure Vessel

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Abstract

Pressure vessels are widely used in products ranging from consumer artifacts to engineering components. Ensuring safety and reliability of pressure vessel is therefore imperative. In cases where conducting experiments is not viable, analytical or numerical methods are used. In this work, a horizontal pressure vessel is analyzed using finite element method for estimating the failure pressure and stress intensity factor in the presence of residual stress. A three-dimensional finite element model was created with a commercially available software, and a semi-elliptical crack was introduced in the pressure vessel on the outer and inner surfaces. In addition, the crack orientation was also changed, and the stress intensity factor was determined both analytically and numerically. The results showed a reasonably good agreement.

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Abbreviations

a :

Half-crack length (semi-major axis of elliptical crack)

b :

Semi-minor axis of elliptical crack

w :

Width of the specimen

c :

Semi-elliptical crack major length

p :

Pressure

d :

Diameter of the pressure vessel

t :

Thickness of the vessel

E :

Elastic modulus

\( \sigma \) :

Normal stress

\( \tau \) :

Shear stress

\( \sigma_{\text{h}} \) :

Hoop stress

\( \sigma_{\text{l}} \) :

Longitudinal stress

\( \sigma_{\text{eq}} \) :

von Mises stress

\( \sigma_{1} ,\sigma_{2} \;{\text{and}}\;\sigma_{3} \) :

Principal stresses

\( \vartheta \) :

Poisson’s ratio

\( \sigma_{\text{y}} \) :

Yield strength

K I :

Mode I stress intensity factor

K II :

Mode II stress intensity factor

K IC :

Critical stress intensity factor

p f :

Failure pressure

Y :

Geometry correction factor

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Authors and Affiliations

  1. Department of Mechanical Engineering, Amrita Vishwa Vidyapeetham, Amritapuri, India

    S. Arunkumar & G. Manoj Reddy

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  1. S. Arunkumar
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  2. G. Manoj Reddy
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Arunkumar, S., Reddy, G.M. Effect of Crack Inclination and Residual Stress on the Stress Intensity Factor of Semi-elliptical Crack in a Pressure Vessel. Trans Indian Inst Met 73, 945–953 (2020). https://doi.org/10.1007/s12666-020-01903-1

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