2. Benchmark solution#
2.1. Calculation method#
The analytical solution to the problem is presented in test case documentation SSNS107 [V6.05.107].
All the behaviors of the materials remain in the elastic domain.
2.2. Reference quantities and results#
The evaluated quantities are the displacements along the \(X\) axis of the points \(A\) and \(B\) of the mesh (cf Figure).
Point \(A\) is on the inner surface of the cylinder and point \(B\) is on the outer surface.
Identification |
Reference type |
Reference value |
Formula point \(A\) Displacement formula \(\mathrm{DX}\) |
“ANALYTIQUE” |
8.91925E-04 |
Formula point \(B\) Displacement formula \(\mathrm{DX}\) |
“ANALYTIQUE” |
6.21118E-04 |
Deformations and stresses are evaluated in concrete and reinforcements on the internal and external surfaces of the cylinder. The radial and tangential deformations and stresses are respectively EPXX, EPYY,, SIXX and SIYY neglecting the curvature of the elements.
Identification |
Reference type |
Reference value |
|||
The PXx |
The PYy |
S IXx |
S IYy |
||
SI concrete |
“ANALYTIQUE” |
-6.58E-05 |
8.92E-05 |
-1.00E+06 |
1.58E+06 |
SE concrete |
“ANALYTIQUE” |
-7.70E-06 |
3.11E-05 |
-3.11E+04 |
6.15E+05 |
Steel |
“ANALYTIQUE” |
6.21E+06 |
|||