1. Reference problem#

1.1. Geometry#

Square plate

_images/10000B88000018E80000103A6C0E626E2B03DEAA.svg

1.2. Material properties#

The isotropic elastic parameters of the model are:

\(E=178600\mathrm{MPa}\) \(\nu =0.3\)

Lemaître viscoelastic behavior relationship

\(n=11\) \(\frac{1}{K}={3.28410}^{\text{-4}}\) (\(K=3045\)) \(\frac{1}{m}=0.17857\) (\(m=5.6\))

Behavioral relationship VISC_ENDO_LEMA (no damage) \({A}_{D}=100000.0\)

Behavioral relationship VISC_TAHERI (no plasticity)

\({R}_{0}=0.001\) \(\alpha =0\), \(M=1\), \(A=0\), \(B=0\),, \({C}_{1}=0\), \({C}_{\mathrm{INF}}=0\), \(S=900\)

1.3. Boundary conditions and loads#

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

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

Loading below: Routes \(\mathrm{OA}\) and \(\mathrm{AB}\), lasting 30 seconds,

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

B (0.420)

A (210,210) \({\sigma }_{d}(\mathrm{MPa})\) \(\sqrt{(3)}{\tau }_{d}(\mathit{MPa})\)