2. Benchmark solution#
2.1. Calculation method used for the reference solution#
Radial displacement in local coordinate system
:
= -
where
= components of the displacement in the global coordinate system
.
Yes
are the constraints in the local coordinate system, the constraints expressed in the global coordinate system are equal to:
At the local level
(circumferential stress),
From where
2.2. Benchmark results#
Radial displacement: \({u}_{r}=–7.14\times {10}^{-7}m\)
In the local plan \((x,z)\), \({\sigma }_{\mathrm{yy}}=1.25\times {10}^{5}\mathrm{Pa}\), \({\sigma }_{\mathrm{zz}}=3.75\times {10}^{5}\mathrm{Pa}\)
2.3. Uncertainty about the solution#
Analytical solution
2.4. Bibliographical references#
R.J. ROARK and W.C. YOUNG: Formulas for stress and strain, 5th edition. New York, McGraw-Hill, 1975