1. Reference problem#
1.1. Geometry#

1.2. Material properties#
The properties of the material constituting the plate are:
\(E\mathrm{=}2.{10}^{11}\mathit{Pa}\) |
Young’s module |
\(\nu \mathrm{=}0.3\) |
Poisson’s ratio |
1.3. Boundary conditions and loads#
Boundary conditions: Embedded \(\mathit{AD}\) side
We are looking for the successive states of equilibrium under the load imposed on side \(\mathit{BC}\):
\(p(t)={p}_{\mathrm{cr}}t\) |
||
with |
\(t\) |
pseudo_temps |
\({p}_{\mathrm{cr}}\) |
Euler critical load |
The load applied corresponds to the critical load of Euler \({p}_{\mathit{cr}}=\frac{{\mathrm{\pi }}^{2}EI}{4{L}^{2}}=\mathrm{1124,21}N\)
1.4. Initial conditions#
Not applicable