2. Benchmark solution#

2.1. Calculation method#

The approach consists in combining the following calculations:

  • the mechanical calculation parameters being dependent on the temperature, a thermal calculation makes it possible to determine the control variable \(\mathit{TEMP}\)

  • a mechanical calculation in linear elasticity

  • an incremental elasto-plastic mechanical calculation

  • calculation of the energy return rate \({G}_{\mathit{ELAS}}\) from the linear mechanical result, at the bottom of the crack \(B\)

  • calculation of the energy return rate \({G}_{\mathit{PLAS}}\) from the non-linear mechanical result, at the bottom of a crack \(B\)

Then the margin factors are obtained by post-processing via Python using the user Python of the results of calculating the energy recovery rates \({G}_{\mathit{ELAS}}\) and \({G}_{\mathit{PLAS}}\), and of the temperature \(\mathit{TEMP}\) at point \(B\).

The following quantities are retained:

  1. \(\mathit{KELAS}\): elastic stress intensity factor

  2. \(\mathit{KPLAS}\): plastic stress intensity factor

  3. \(\mathit{FM}\text{\_}\mathit{ASN}\): regulatory margin factor

These results are provided and the validation is of the « AUTRE_ASTER » type.

2.2. Reference quantities and results#

The outputs of operator POST_FM are tested, namely the following quantities at the bottom of the crack:

  1. \(\mathit{TEMP}\): temperature at the bottom of the crack

  2. \(\mathit{KIC}\): tenacity at the bottom of a crack

  3. \(\mathit{KELAS}\): elastic stress intensity factor

  4. \(\mathit{KPLAS}\): plastic stress intensity factor

  5. \(\mathit{KCP}\): corrected stress intensity factor

  6. \(\mathit{FM}\text{\_}\mathit{ASN}\): margin factor (case DSR)

  7. \(\mathit{FM}\text{\_}\mathit{PLAS}\): regulatory margin factor (case DDR)