1. Reference problem#

_images/Shape1.gif

1.1. Geometry#

Straight beam, length \(L=\mathrm{1m}\)

Circular section with radius \(R=\mathrm{0.01m}\).

1.2. Material properties#

Isotropic linear work hardening elastoplastic material:

Young’s module: \(E=210000\mathrm{MPa}\)

Poisson’s ratio: \(\nu =0\). (Euler-Bernoulli beam hypothesis)

Elastic limit: \({\sigma }_{Y}=4\mathrm{MPa}\)

Tangent module: \({E}_{T}=70000\mathrm{MPa}\)

1.3. Boundary conditions and loads#

  • Boundary conditions: embeddedness over the entire base surface

  • Surface force on the upper side: at \(t=\mathrm{1s}\), \(F=6.5\mathrm{MPa}\)

This load is applied in 10 equally divided time steps.