2. Benchmark solution#

2.1. Calculation method used for the reference solution#

The reference solution is a numerical solution resulting from a validation note for simplified methods in fracture mechanics [bib1]. The results of the reference score were obtained with code_aster version 6.06.

[bib1] gives the value of \({J}_{\text{fond}}\) for different loading levels \(M\) and \(P\).

The results are shown in the following table:

\(P(\mathit{MPa})\)

\(M(\mathit{kN}\mathrm{.}m)\)

\({J}_{\text{fond}}(\mathit{kJ}/m\mathrm{²})\)

36.97

-5989.46

2.71 102

Where:

\({J}_{\text{fond}}(\mathit{kJ}/m\mathrm{²})\) is the value of the integral J at the bottom of the crack.

2.2. Bibliography#

    1. LE DELLIOU: Code RSE -M: finite element calculations of straight pipes with longitudinal semi-elliptical defects loaded with pressure plus moment. EDF R&D. 2005. 1998.