1. Reference problem

1.1. Geometry

Internal radius: \(a=\mathrm{0,1}\mathrm{mm}\)

External radius: \(b=\mathrm{0,2}\mathrm{mm}\)

Point coordinates ( \(\mathrm{mm}\) )

	\(A\)	\(B\)	\(E\)		\(F\)	\(C\)	\(D\)
\(x\)	\(0.1\)	\(0.2\)	\(0.1\mathrm{\times }\mathrm{cos}(45)\)		\(0.2\mathrm{\times }\mathrm{cos}(45)\)	\(0.1\mathrm{\times }\mathrm{cos}(22.5)\)	\(0.2\mathrm{\times }\mathrm{cos}(22.5)\)
\(y\)	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	0

1.2. Material properties

The elastic properties of the material under consideration are as follows:

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

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

1.3. Boundary conditions and loads

The internal pressure imposed is equal to \(P\mathrm{=}60\mathit{MPa}\).