1. Reference problem#

1.1. Geometry#

_images/100000000000020E0000013B9534833A179A9D1C.png

Plate ABCD

In length

\(L=\mathrm{10mm}\)

Of width

\(B=\mathrm{1mm}\)

Of thickness

\(H=\mathrm{0.1mm}\)

2 beams EF and GH

In length

\(I=\mathrm{1mm}\)

Of circular sections

\(R=2.10-3\), \(e=2.10-4\)

_images/100000000000006B000000560BB58796644770FC.png

1.2. Material properties#

Linear elasticity: \(E\mathrm{=}2{10}^{5}\mathit{MPa}\), \(\nu \mathrm{=}0.3\)

Same for the plate and the two beams.

1.3. Boundary conditions and loads#

Embedding on \(\mathit{AB}\): \(\mathit{DX}\mathrm{=}\mathit{DY}\mathrm{=}\mathit{DZ}\mathrm{=}\mathit{DRX}\mathrm{=}\mathit{DRY}\mathrm{=}\mathit{DRZ}\mathrm{=}0\)

Displacement imposed in \(E\) and \(G\): \(\mathit{DZ}\mathrm{=}–0.2\mathit{mm}\)

Unilateral contact between \(F\) and \(C\) and between \(H\) and \(D\)

1.4. Initial conditions#

Not applicable.