1. Reference problem#

1.1. Geometry#

Flat rectangular plate.

_images/10000000000001C8000000C8E48906B1185F2A54.png

\({N}_{1}{N}_{2}=40\mathrm{mm}\)

\({N}_{1}{N}_{4}=30\mathrm{mm}\)

1.2. Material properties#

The elastic properties of the material are as follows:

  • \(E\mathrm{=}200000\mathit{MPa}\)

  • \(\nu \mathrm{=}0\)

The material properties defining a plastic material with linear work-hardening are as follows:

  • Slope of the traction curve \(C\mathrm{=}1930\mathit{Mpa}\)

  • Elasticity limit \({\sigma }^{y}\mathrm{=}181\mathit{Mpa}\)

1.3. Boundary conditions and mechanical loads#

Face

_images/Object_3.svg

: blocked next \(\mathit{ox}\)

Bow

_images/Object_4.svg

: blocked next \(\mathrm{oy}\)

Bow

_images/Object_5.svg

: blocked next \(\mathrm{oy}\)

Linearly varying pressure:

\({P}_{\mathit{res}}(\mathit{N2})\mathrm{=}0\)

\({P}_{\mathit{res}}(\mathit{N3})\mathrm{=}300\mathit{MPa}\)