4. Example of use#
For the use of RECA_WEIBULL, we can refer to the SSNA103 [V6.01.103] test case.
It is an axisymmetric modeling of a cylindrical specimen (length of 407 mm and radius of 68 mm) subjected to traction. Example of resetting the parameter \({\sigma }_{u}\) of the Weibull method by the linear regression method on three bases of results corresponding to distinct temperatures (the Weibull module \(m\) is fixed and equal to 24).
Results:
At the end of the calibration, the result table gives for each Weibull constraint, the experimental and theoretical failure probabilities as well as for each temperature T associated with a results base, the Weibull module \(m\) selected and the cleavage constraint \({\sigma }_{u}\) reset.
Table T1
SIGMA_WEIBULL PROBA_EXP PROBA_THE TEMP M SIGMA_U
2.08428E+03 1.06871E-03 6.25000E-02 - - -
2.37776E+03 7.43857E-02 6.25000E-02 - - -
2.46999E+03 1.75251E-01 1.25000E-01 - - -
2.47245E+03 1.79089E-01 1.87500E-01 - - -
2.47546E+03 1.83876E-01 2.50000E-01 - - -
2.49280E+03 1.15850E-01 6.25000E-02 - - -
2.52318E+03 1.51827E-01 1.25000E-01 - - -
2.56806E+03 2.22304E-01 1.87500E-01 - - -
2.57728E+03 4.14074E-01 3.12500E-01 - - -
2.57965E+03 1.63465E-01 1.25000E-01 - - -
2.58412E+03 4.34295E-01 3.75000E-01 - - -
2.58768E+03 4.45012E-01 4.37500E-01 - - -
2.59680E+03 2.79917E-01 2.50000E-01 - - -
2.59780E+03 4.76213E-01 5.00000E-01 - - -
2.60437E+03 4.96954E-01 5.62500E-01 - - -
2.60474E+03 2.97664E-01 3.12500E-01 - - -
2.61696E+03 5.37625E-01 6.25000E-01 - - -
2.62152E+03 2.31018E-01 1.87500E-01 - - -
2.63019E+03 3.59960E-01 3.75000E-01 - - -
2.63703E+03 3.78073E-01 4.37500E-01 - - -
2.64761E+03 6.39443E-01 6.87500E-01 - - -
2.65847E+03 3.07571E-01 2.50000E-01 - - -
2.68228E+03 3.65713E-01 3.12500E-01 - - -
2.68274E+03 5.11962E-01 5.00000E-01 - - -
2.69140E+03 7.79587E-01 7.50000E-01 - - -
2.70481E+03 8.18018E-01 8.12500E-01 - - -
2.70819E+03 5.93363E-01 5.62500E-01 - - -
2.71978E+03 4.70198E-01 3.75000E-01 - - -
2.72917E+03 8.79111E-01 8.75000E-01 - - -
2.73173E+03 6.69628E-01 6.25000E-01 - - -
2.73291E+03 5.09893E-01 4.37500E-01 - -
2.73574E+03 8.93367E-01 9.37500E-01 - -
2.74213E+03 7.02782E-01 6.87500E-01 - - -
2.75526E+03 7.43533E-01 7.50000E-01 - - -
2.75581E+03 7.45195E-01 8.12500E-01 - - -
2.75636E+03 7.46854E-01 8.75000E-01 - - -
2.77232E+03 6.34158E-01 5.00000E-01 - - -
2.77688E+03 8.06319E-01 9.37500E-01 - -
2.79613E+03 7.09063E-01 5.62500E-01 - - -
2.80708E+03 7.42320E-01 6.25000E-01 - - -
2.81475E+03 7.64896E-01 6.87500E-01 - - -
2.81803E+03 7.74361E-01 7.50000E-01 - - -
2.84430E+03 8.44366E-01 8.12500E-01 - - -
2.88043E+03 9.19411E-01 8.75000E-01 - - -
3.00687E+03 9.99143E-01 9.37500E-01 - - -
-5.00000E+01 2.40000E+01 2.77168E+03
-1.00000E+02 2.40000E+01 2.72013E+03
-1.50000E+02 2.40000E+01 2.64542E+03