2. Reference solution

2.1. Modeling A

2.1.1. Calculation method used for the reference solution

The reference results come from the thesis of I. PAPADOPOULOS [bib1]. For the criterion of CROSSLAND, they can also be obtained manually.

Since the loading is radial, the two criteria must provide the same results.

2.1.2. Benchmark results

For the criterion of CROSSLAND, we test the value of the splitting amplitude, the value of the maximum hydrostatic pressure and the value of the criterion:

\({\tau }_{a}\mathrm{=}313.579\mathit{Mpa}\) \({P}_{\mathit{max}}\mathrm{=}137.\mathit{Mpa}\) \(\mathit{Rcrit}\mathrm{=}\mathrm{-}8.281\)

For the criterion of DANG VAN - PAPADOPOULOS, we test the value of the radius of the smallest sphere circumscribed to the load, the value of the maximum hydrostatic pressure and the value of the criterion:

\({K}^{\text{*}}\mathrm{=}313.579\mathit{Mpa}\) \({P}_{\mathit{max}}\mathrm{=}137.\mathit{Mpa}\) \(\mathit{Rcrit}\mathrm{=}\mathrm{-}8.281\)

2.2. B, C, D, E, E, F, and G models

We are based on the models calculated by CALC_FATIGUE in the SSLV135 test case. See [V3.04.135] for reference solutions.

2.3. Uncertainty about the solution

Analytical solutions or solutions obtained from CALC_FATIGUE.

2.4. Bibliographical references

1. Thesis by I. PAPADOPOULOS « Polycyclic metal fatigue: a new approach » (1987) ENPC.