1. Reference problem#

1.1. Geometry#

Square plate

_images/10000A8C00000F3100000B443323552FBA79A62D.svg

1.2. Material properties#

These properties vary according to the time interval under consideration:

  1. for \(0\le t\le 30s\) and \(3630\le t\le 3660s\)

\(E=178600\mathrm{MPa}\)

\(\nu =0.3\)

Plasticity with linear isotropic work hardening:

\[\]

: label: EQ-None

{sigma} _ {y} =120mathrm {MPa}

  1. for \(30\le t\le 3630s\) and \(3660\le t\le 7260s\)

\(E=178600\mathrm{MPa}\)

\(\nu =0.3\)

Lemaître viscoelastic behavior relationship:

_images/Object_1.svg

1.3. Boundary conditions and loads#

On \(A\): \({u}_{x}={u}_{y}=0\)

On the \(\mathrm{AB}\) side: \({u}_{x}=0\)

Loading below (\(t=0\) in \(0\))

Routes \(\mathrm{OA}\) and \(\mathrm{AB}\), lasting 30 seconds.

Hold time in \(A\) and \(B\) of 3600 seconds.

_images/10000750000012B500000E29586FD877659B793B.svg