2. Benchmark solution

2.1. Calculation method used for the reference solution

analytics:

If the pressure varies like:

then the circumferential component of the stress tensor is equal to:

and the displacement field is equal to:

2.2. Benchmark results

Here, \({\lambda }_{p}\mathrm{=}0\).

X	(\(m\))	(\(m\))	(\(\mathit{Pa}\))
0	5d-11	0	100
1	0	7.5d-11	0

2.3. Uncertainty about the solution

Analytical solution.

2.4. Bibliographical references

• PILKEY W.D.: « Formulas for stress, strain, and structural matrices. » Wiley & Sons, New York, 1994.