2. Benchmark solution#

2.1. Calculation method used for the reference solution#

Since the loading history is very simple, the reference results can be obtained manually by applying the algorithms presented in the reference document [R7.04.01].

2.2. Benchmark results#

The counting of the elementary cycles by the RCCM method leads to:

Nb_Cycl = 2

Cycle 1

Vale_Min:

-500.

Vale_Max:

Cycle 2

Vale_Min:

Vale_Max:

  • First call to POST_FATIGUE:

calculation of the elementary damage by the Wöhler method without correcting HAIGH:

Cycle 1

Damage:

1.053257E—3

Cycle 2

Damage:

Calculation of total damage by linear Miner accumulation:

Damage: 1.053257E—3

  • Second call to POST_FATIGUE:

calculation of elementary damage by the Manson-Coffin method:

Cycle 1

Damage:

1.053257E—3

Cycle 2

Damage:

Calculation of total damage by linear Miner accumulation:

Damage: 1.053257E—3

  • Third call to POST_FATIGUE:

calculation of the elementary damage by the Wöhler method with Gerber correction:

Cycle 1

Damage:

1.063631E—3

Cycle 2

Damage:

Calculation of total damage by linear Miner accumulation:

Damage: 1.063631E—3

  • Fourth call to POST_FATIGUE:

calculation of the elementary damage by the Wöhler method with Goodman correction:

Cycle 1

Damage:

1.250219E—3

Cycle 2

Damage:

Calculation of total damage by linear Miner accumulation:

Damage: 1.250219E—3

2.3. Uncertainty about the solution#

Analytical solution.

2.4. Bibliographical references#

  1. Estimation of fatigue at large numbers of cycles. Document [R7.04.01].