2. Benchmark solution

2.1. Calculation method used for the reference solution

Given the nature of the requests, the solution (constraints)

, deformations

and cumulative plastic deformation

) is homogeneous. At one point on the loading path \(\mathit{OA}\), we get:

The elastic deformation is equal to:

The viscoplastic deformation is equal to:

Finally, the total deformation is:

The reference solution is obtained by using a program written in Fortran that performs a step-by-step resolution of the problem with an implicit discretization scheme.

2.2. Benchmark results

We will be interested in the values of the stresses and deformations at point \(A\) of the loading path at the times \(t\mathrm{=}10s\) and \(t\mathrm{=}60s\)