1. Reference problem#

_images/Shape1.gif

1.1. Geometry#

Node coordinates:

Thickness = 0.7

1.2. Material properties#

  • Young’s modulus

Temperature

\(\mathrm{-}1000°\)

\(1000°\)

\(E\)

\(\mathrm{-}1200\)

\(1200\)

  • Poisson’s ratio: \(\nu =0.3\)

  • Density \(\rho \mathrm{=}8.1\)

  • Coefficient of thermal expansion:

Temperature

\(\mathrm{-}1000°\)

\(1000°\)

\(\alpha\)

\(\mathrm{-}1200\)

\(1200\)

  • Temperature for defining the thermal expansion coefficient: \(1.5°\)

1.3. Boundary conditions and loads#

Boundary conditions:

  • Node \(\mathit{N1}\): \(\mathit{DX}\mathrm{=}1\text{;}\mathit{DY}\mathrm{=}2\text{;}\mathit{DZ}\mathrm{=}3\text{;}\mathit{DRX}\mathrm{=}1\text{;}\mathit{DRY}\mathrm{=}2\text{;}\mathit{DRZ}\mathrm{=}3\)

  • Node \(\mathit{N6}\): \(\mathit{DX}\mathrm{=}2\text{;}\mathit{DY}\mathrm{=}3\text{;}\mathit{DZ}\mathrm{=}4\text{;}\mathit{DRX}\mathrm{=}1\text{;}\mathit{DRY}\mathrm{=}2\text{;}\mathit{DRZ}\mathrm{=}5\)

Loads

PESANTEUR

\(g\mathrm{=}\mathrm{9,8}\) Following the direction \((0.3;0.1;\mathrm{-}0.4)\)

FORCE_ARETE

Line force

\(\mathit{FZ}\mathrm{=}8\)

FORCE_COQUE

Distributed load

\(\mathit{F1}\mathrm{=}5.\) \(\mathit{F2}\mathrm{=}8.\) \(\mathit{F3}\mathrm{=}9.\) \(\mathit{MF1}\mathrm{=}5.\)

FORCE_COQUE

Uniform pressure

\(\mathit{PRES}\mathrm{=}5.\)

Temperature

  • Temperature on the upper skin of the shell: \(\text{TEMP\_SUP}\mathrm{=}24°\)

  • Temperature on the average skin of the shell: \(\text{TEMP}\mathrm{=}18°\)

  • Temperature on the lower skin of the shell: \(\text{TEMP\_INF}\mathrm{=}12°\)

  • Reference temperature = \(1.5°\)