1. Reference problem

1.1. Geometry

Figure 1.1 Problem geometry and loading system

Length: \(L=0.24m\)

Radius: \(R=0.006m\)

1.2. Material properties

Young’s module	\(E=2.1\times {10}^{11}\mathit{Pa}\)
Poisson’s Ratio	\(\nu =0.3\)

1.3. Boundary conditions and loads

Imposed displacement:

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: label: EQ-None

textrm {Embedding on the side} mathit {AB}

Imposed load: \({p}_{0}=10000\mathit{Pa}\)

External pressure on side \(\mathit{BC}\)	Radial component: \(-{p}_{0}\frac{R}{L}\mathrm{sin}(\theta )\) (normal to circumference) Axial component: \({p}_{0}\frac{z}{L}\mathrm{sin}(\theta )\) (following \(z\))
External pressure on side \(\mathit{DC}\)	Radial component: \({p}_{0}\mathrm{sin}(\theta )\) (following \(r\)) Circumferential component: \({p}_{0}\mathrm{cos}(\theta )\) (following \(\theta\)) Axial component: \(\frac{1-\nu }{\text{}\nu }\frac{{p}_{0}r}{L}\mathrm{sin}(\theta )\) (normal to the section)