1. Reference problem#

1.1. Geometry#

	Face \(\mathit{YZ}\) \((\mathrm{1,3}\mathrm{,5}\mathrm{,7})\)

isotropic elasticity:	\(E=206\mathrm{400.MPa}\)	\(\nu \mathrm{=}0.3\)
plasticity: (coefficients of the Rousselier model)	\(D=2.\) \({f}_{0}\mathrm{=}{5.10}^{\mathrm{-}4}\) \({\sigma }_{1}=\mathrm{490.MPa}\)

The rational traction curve is entered point by point with:

\(R(p)\mathrm{=}{r}_{i}+({r}_{0}\mathrm{-}{r}_{i}){e}^{\mathrm{-}\mathit{bp}}\)

with \(p\): cumulative plastic deformation

and \({r}_{i}\mathrm{=}1500\mathit{MPa}\)

\({r}_{0}\mathrm{=}\mathrm{520.MPa}\)

\(b=2.4\)

\(\mathrm{N04}\)	\(\mathrm{dx}=\mathrm{dy}=0\)	Face \(\mathit{YZ}\):	\(\mathrm{FX}=\mathrm{FY}=–F(t)\)
\(\mathrm{N08}\)	\(\mathit{dx}\mathrm{=}\mathit{dy}\mathrm{=}\mathit{dz}\mathrm{=}0\)	Face \(\mathrm{XZ}\):	\(\mathrm{FX}=–F(t)\)
\(\mathrm{N02},\mathrm{N06}\)	\(\mathrm{dx}=0\)	Face \(\mathrm{1YZ}\):	\(\mathrm{FY}=F(t)\)
		Face \(\mathrm{1XZ}\):	\(\mathrm{FX}=F(t)\)

409.707

Zero stresses and deformations at \(t=0\).