1. Reference problem#

1.1. Geometry#

_images/Object_1.svg

1.2. Material properties#

The properties of the material from which the beam is made are:

\(E\mathrm{=}2.{10}^{11}\mathit{Pa}\)

Young’s modulus

\(\nu \mathrm{=}0.3\)

Poisson’s ratio

The material follows a perfectly plastic law of elastic behavior:

\({\sigma }_{e}\mathrm{=}2.35{10}^{8}\mathit{Pa}\)

Elastic limit

\({\varepsilon }_{e}\mathrm{=}1.175{10}^{\mathrm{-}3}\)

Elastic deformation limit

1.3. Boundary conditions and loads#

  • Boundary conditions: \(\mathit{AB}\) and \(\mathit{CD}\) sides embedded

  • Imposed move following \(Z\) in \(E\) (\(x\mathrm{=}L\mathrm{/}2\)):

\({\mathit{DZ}}_{e}\mathrm{=}{6.60910}^{\mathrm{-}3}m\) (

_images/Object_6.svg

)

\(\mathit{DZ}(E)\) varies from \(0\) to \(30{\mathit{DZ}}_{e}\)

1.4. Initial conditions#

Not applicable