4. Summary of results

This test case offers very satisfactory results compared to the analytical solution, less than 7.10‑5% with a low number of iterations (1 or 2 iterations). The solution is obtained from a linear equation in the case of a linear strain hardening curve under tension, but the resolution uses a Newton algorithm in a more general framework.

It is possible to note the hardening of the tensile criterion which takes place during loading, causing a reduction in stress (component \(\mathit{xx}\), \(\mathit{yy}\) and \(\mathit{zz}\)) which is also equal to the hydrostatic stress.