2. Reference solution#
2.1. Calculation method used for the reference solution#
The reference solution is a digital solution from the note [bib1]. The purpose of this note was to validate simplified methods in fracture mechanics. The results of this note were obtained with code_aster version 3.
[bib1] gives the value of \({J}_{\text{fond}}\) for various load levels \(m\).
\(m=\frac{M}{4{\sigma }_{\gamma }{R}^{2}t}\)
The results are given in the following table:
\(M(\mathit{Nmm})\) |
|
|
|
5.216 109 |
2.013 |
9.8102 |
1.91101 |
Where: |
|||
\({J}_{\text{fond}}(\mathit{KJ}/m\mathrm{²})\) is the value of the integral J at the bottom of the crack for an elasto-plastic behavior law. |
|||
\({J}_{\text{fond}}^{e}(\mathit{KJ}/m\mathrm{²})\) is the value of the integral J at the bottom of the crack for a linear elastic behavior law. |
2.2. Bibliography#
CAMBERFOR — Y. GUELORGET: FICHE 3479- Calculations of straight pipes with semi-elliptical and axisymmetric circumferential defects: moment loads and pressure+moment. Team management EDF. Thermal and nuclear studies and projects department. 1998.