2. Benchmark solution

2.1. Calculation method

In both cases, due to the uniform nature of mechanical fields, it is possible to perform the analytical calculation of both Bordet constraints and probabilities. For this purpose, the equations of the Bordet model presented in the documentation [R7.02.06] are used: Beremin, Bordet and Rice and Tracey models.

2.2. Reference quantities and results

In both cases, both the Bordet constraint and the associated probability are tested, for the times ranging from 0 to 5.

For modeling A, the following reference results are obtained:

Instant	Bordet Constraint	Bordet Probability
0	0	0.0000
1	0	0.0000
2	247.67	0.9999
3	252.23	0.9995
4	254.1	0.9701
5	254.7	0.7780

Table 2.1: Analytical results for modeling A

For modeling B, the following reference results are obtained:

Instant	Bordet Constraint	Bordet Probability
0	0	0.0000
1	0	0.0000
2	211.75	0.3500
3	215.64	0.2150
4	217.24	0.11
5	217.75	0.0467

Table 2.2: Analytical results for modeling B

2.3. Uncertainties about the solution

Because of the analytical nature, the reference solution is accurate. We therefore only admit an error less than \(\mathrm{0,5}\text{\%}\).