1. Reference problem#

1.1. Geometry#

_images/v6-04-112-geom.svg

Point coordinates:

\(A\)

\(B\)

\(E\)

\(F\)

\(C\)

\(D\)

\(x\)

\(0.1\)

\(0.2\)

\(0.1\mathrm{\times }\mathrm{cos}(45)\)

\(0.2\mathrm{\times }\mathrm{cos}(45)\)

\(0.1\mathrm{\times }\mathrm{cos}(22.5)\)

\(0.2\mathrm{\times }\mathrm{cos}(22.5)\)

\(y\)

\(0\)

\(0\)

\(0.1\mathrm{\times }\mathrm{sin}(45)\)

\(0.1\mathrm{\times }\mathrm{sin}(45)\)

\(0.1\mathrm{\times }\mathrm{sin}(22.5)\)

\(0.1\mathrm{\times }\mathrm{sin}(22.5)\)

\(z\)

\(0\)

\(0\)

\(0\)

\(0\)

\(0\)

\(0\)

1.2. Material properties#

  • Young’s modulus: \(E\mathrm{=}{2.10}^{5}\mathit{MPa}\)

  • Poisson’s ratio: \(\nu \mathrm{=}0.4999\)

1.3. Boundary conditions and loads#

Radial displacement \(U_0=6.10^{-5}m\) is imposed on the inner surface.