2. Benchmark solution

2.1. Calculation method used for the reference solution

In this case, the KICHENIN_NLet VMIS_CINE_LINE behavioral relationships lead to identical results. We recall the relationship between tangent stiffness \({E}^{T}\) (required by law VMIS_CINE_LINE) and the Prager constant:

\(\frac{1}{{E}^{T}}=\frac{1}{{E}^{p}}+\frac{2}{3C}\)

Since the integration scheme is the same (implicit Euler of order 1), the difference between the results should not even depend on the discretization of the loading chronology.

2.2. Benchmark results

We thus compare the results in terms of deformations, plastic deformations and cumulative plastic deformations obtained by the two models at the end of loading (\(\overline{t}=1\)).

2.3. Uncertainties about the solution

Nil.

2.4. Bibliographical references

[1] E. Lorentz (2022) TUYAUTERIE 3- Robust behavioral relationship dedicated to polyethylene structure calculations. Internal note EDF 6125-1723-22-00150.