1. Reference problem#

1.1. Geometry#

_images/100000000000039E000001A595C1DA74F6FD8CAD.png

Ray

\(R\mathrm{=}\mathrm{10m}\)

Thickness

\(t\mathrm{=}\mathrm{0.04m}\)

Point coordinates:

\(A\)

\(B\)

\(C\)

\(x\)

\(y\)

\(z\)

1.2. Material properties#

\(E\mathrm{=}6.825{10}^{7}\mathit{Pa}\)

\(\nu \mathrm{=}0.3\)

1.3. Boundary conditions and loads#

Over a quarter of the hemisphere:

Side \(\mathit{AC}\)

symmetry with respect to plane \(\mathit{xz}\)

Side \(\mathit{BC}\)

symmetry with respect to plane \(\mathit{yz}\)

Side \(\mathit{AB}\)

symmetry with respect to plane \(\mathit{xy}\)

Uniform external pressure \(P\mathrm{=}\mathrm{1.Pa}\)