2. Benchmark solution

2.1. Calculation method used for the reference solution

• The deformation due to pressure alone is given by:

\({\varepsilon }_{\mathit{zz}}\mathrm{=}\frac{(1\mathrm{-}2\nu )(2{R}_{e}\mathrm{-}h)}{\mathrm{4Eh}}p\mathrm{=}3.714\mathrm{\times }{10}^{\mathrm{-}3}\), \({R}_{e}\mathrm{=}\) outer radius

• The axial displacement due to pressure is given by:

\({U}_{z}\mathrm{=}Z{\varepsilon }_{\mathit{zz}}\)

• The deformations due to thermal loading are equal to:

\({\varepsilon }_{\mathit{rr}}\mathrm{=}{\varepsilon }_{\theta \theta }\mathrm{=}{\varepsilon }_{\mathit{zz}}\mathrm{=}\alpha \Delta T\mathrm{=}1.2\mathrm{\times }{10}^{\mathrm{-}3}\)

• The radial displacement due to thermal loading is equal to:

\({U}_{r}\mathrm{=}r{\varepsilon }_{\mathit{rr}}\mathrm{=}1.2\mathrm{\times }{10}^{\mathrm{-}3}r\)

2.2. Benchmark results

• Radial and axial deformation and displacement at points \(A,B,C,D\) due to thermal loading.

• Deformation and axial displacement at points \(A,B,C,D\) due to pressure.

2.3. Uncertainty about the solution

Analytical solution.