1. Reference problem

1.1. Geometry

Rectangular recessed plate in \({P}_{1}{P}_{4}\) and \({P}_{1}{P}_{4}\) subjected in \({P}_{2}{P}_{3}\) to a linear couple:

\(m=-{\mathrm{me}}_{y};m>0\)

1.2. Material properties and cross-section characteristics

Elastic behavior:

\(E\mathrm{=}\text{12}\mathrm{\times }{\text{10}}^{6}\text{Pa};\nu \mathrm{=}0\)

The fact that the Poisson’s ratio (\(\nu\)) is zero makes the plate solution the same as the beam solution.

\({I}_{y}\) is the inertia of the section with a beam model:

\({I}_{y}=\frac{b{h}^{3}}{12}=\frac{1}{12}\times {\text{10}}^{-3}\)

1.3. Boundary conditions and loading

Embedding in \({P}_{1}{P}_{4}\). We are looking for the successive states of equilibrium under the load made up of the linear couple in \({P}_{2}{P}_{3}\):

\(m(t)=\text{100}t\); \(t\) pseudo-time.

We are particularly interested in horizontal and vertical movements and the rotation of line \({P}_{2}{P}_{3}\).