2. Benchmark solution#

2.1. Calculation method used for the reference solution#

Finite element calculation with code ABAQUS. Contact nonlinearity is modeled using unidirectional GAP elements. The stress intensity factor is calculated from the integral \(J\).

2.2. Benchmark results#

_images/1000000000000AD00000077EE61C05FA97298E78.png

Dimensional stress intensity factor as a function of the mechanical load factor,

in the case of loading no. 3

Rating:

 _images/Object_2.svg

linear dimensionless intensity factor (obtained by a linear combination of the effects of autofrettage and mechanical loading, in broken lines)
_images/Object_3.svg

nonlinear dimensionless intensity factor (obtained by taking into account the non-linearity of contact, in solid lines).
_images/Object_4.svg

Empirical formula for the stress intensity factor under external radial tension

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Empirical formula for the stress intensity factor in autofretting in full section

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2.3. Bibliographical references#

  1. H.M. SHU, J. PETIT, and G. BEZINE: Stress intensity factors for radial cracks in thick walled cylinders. I. Symmetrical cracks II. Combination of autofrettage and internal pressure. Engng.Fract.Mechs., 49, no. 4, 611-629, 1994.