1. Reference problem#

1.1. Geometry#

_images/10000200000001E9000000FFB3DA534FC96FD2A1.png

1.2. Material properties#

Isotropic elasticity \(E\mathrm{=}145000\mathit{MPa}\) \(\nu \mathrm{=}0.3\)

Viscoplasticity model VISCOCHAB

\(\mathit{C2}\)

\(65000\mathit{MPa}\)

\({M}_{2}\)

\(4\)

\(\mathit{D2}\)

\(0.552{10}^{\mathrm{-}1}\)

\({G}_{\mathit{X2}}\)

\(1.{10}^{\mathrm{-}12}{\mathit{MPa}}^{\mathrm{-}\mathit{m1}}{S}^{\mathrm{-}1}\)

\({\mathit{G2}}_{0}\)

\(1300\mathit{MPa}\)

\({A}_{I}\)

\(0.5\)

1.3. Boundary conditions and loads#

\(\mathit{N6}\)

\(\mathit{dx}\mathrm{=}\mathit{dy}\mathrm{=}\mathit{dz}\mathrm{=}0\)

Face \(\mathit{XZ}\): \(\mathit{FX}\mathrm{=}–{\tau }_{d}\mathrm{/}4\)

\(\mathit{N7}\)

\(\mathit{dx}\mathrm{=}\mathit{dy}\mathrm{=}0\)

Face \(\mathit{YZ}\): \(\mathit{FY}\mathrm{=}–{\tau }_{d}\mathrm{/}\mathrm{4,}\mathit{FX}\mathrm{=}–{\sigma }_{d}\mathrm{/}4\)

\(\mathit{N2}\), \(\mathit{N3}\)

\(\mathit{dy}\mathrm{=}0\)

Face \(\mathrm{1XZ}\): \(\mathit{FX}\mathrm{=}{\tau }_{d}\mathrm{/}4\)

\(\mathit{N2}\), \(\mathit{N3}\), \(\mathit{N6}\), \(\mathit{N7}\)

\(\mathit{dx}\mathrm{=}0\)

Face \(\mathrm{1YZ}\): \(\mathit{FY}\mathrm{=}{\tau }_{d}\mathrm{/}\mathrm{4,}\mathit{FZ}\mathrm{=}{\sigma }_{d}\mathrm{/}4\)

1.4. Initial conditions#

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

_images/100002000000009300000080436E48A4D243374A.png

\({\sigma }_{d}(t)\) and \({\tau }_{d}(t)\) linear, with the point \(P\) being reached in \(10s\) with \({\sigma }_{d}(10)\mathrm{=}150\mathit{MPa}\) and \({\tau }_{d}(10)\mathrm{=}60\mathit{MPa}\).