2. Benchmark solution#

2.1. Calculation method used for the reference solution#

This test is taken from the software validation manual POSTDAM version 1.0. The reference solutions are given in this document.

2.2. Benchmark results#

  • First call to POST_FATIGUE: method RAINFLOW from \({\sigma }_{1}(t)\)

Nb_Cycl = 4

Cycle 1

Vale_Min:

Vale_Max:

Cycle 2

Vale_Min:

Vale_Max:

Cycle 3

Vale_Min:

—300.

Vale_Max:

Cycle 4

Vale_Min:

—500.

Vale_Max:

  • Second call to POST_FATIGUE: method RCCM from \({\sigma }_{1}(t)\)

Nb_Cycl = 5

Cycle 1

Vale_Min:

—500.

Vale_Max:

Cycle 2

Vale_Min:

—300.

Vale_Max:

Cycle 3

Vale_Min:

Vale_Max:

Cycle 4

Vale_Min:

Vale_Max:

Cycle 5

Vale_Min:

88.8889

Vale_Max:

  • Third call to POST_FATIGUE: method RAINFLOW from \({\sigma }_{2}(t)\) with \({K}_{T}=2\).

(Results identical to the first call to POST_FATIGUE since we take a loading \({\sigma }_{2}(t)=1/2{\sigma }_{1}(t)\), then we multiply the loading history by a stress concentration coefficient \({K}_{T}=2.\)).

Nb_Cycl = 4

Cycle 1

Vale_Min:

Vale_Max:

Cycle 2

Vale_Min:

Vale_Max:

Cycle 3

Vale_Min:

—300.

Vale_Max:

Cycle 4

Vale_Min:

—500.

Vale_Max:

  • Fourth call to POST_FATIGUE: method RCCM from \({\sigma }_{2}(t)\) with \({K}_{T}=2\).

(Results identical to the second call to POST_FATIGUE since we take a loading \({\sigma }_{2}(t)=1/2{\sigma }_{1}(t)\), then we multiply the loading history by a stress concentration coefficient \({K}_{T}=2.\)).

Nb_Cycl = 5

Cycle 1

Vale_Min:

—500.

Vale_Max:

Cycle 2

Vale_Min:

—300.

Vale_Max:

Cycle 3

Vale_Min:

Vale_Max:

Cycle 4

Vale_Min:

Vale_Max:

Cycle 5

Vale_Min:

88.8889

Vale_Max:

2.3. Uncertainty about the solution#

Analytical solution.

2.4. Bibliographical references#

  1. POSTDAM version 1.0 validation manual. Fournier I., Vatin E. HP‑14/93/016B