OS-V: 0070 Solid Cylinder/Taper/Sphere - Temperature
Test No. LE11 The model is a thick solid cylinder subjected to linear temperature gradient in the radial and axial direction. OptiStruct examines the direct stress at the point A inside the cylinder on the y axis for linear static analysis.

Figure 1. FE Model with Boundary Conditions and Loadcases
Benchmark Model
Second order Hexahedral, Penta and Tetra elements are used to create the coarse and fine mesh. A Linear temperature gradient of T°C = (x2 + y2)1/2 + z is applied in the radial and axial direction from the center of the cylinder. Only one quarter of the cylinder is considered.
- MAT1 Isotropic
- Young's Modulus
- 210 x 103 MPa
- Poisson's Ratio
- 0.3
- Coefficient of Thermal Expansion
- 2.3 x 10-4/°C
Linear Static Analysis Results
Direct Stress at Point A (MPa) | Normalized with the Target Value | |
---|---|---|
Solid Hexahedral: | ||
Hex20 coarse | -93.21 | 1.126488574 |
Hex20 fine | -99.12 | 1.059322034 |
Solid Wedges: | ||
Penta15 coarse | -100.3 | 1.046859422 |
Penta15 fine | -103.7 | 1.012536162 |
Solid Tetrahedral: | ||
Tetra10 coarse | -91.97 | 1.141676634 |
Tetra10 fine | -98.68 | 1.064045399 |
Model Files
The model files used in this problem include:
- /LE11Hex20C.fem
- /LE11Hex20F.fem
- /LE11Pyr15C.fem
- /LE11Pyr15F.fem
- /LE11Tet10C.fem
- /LE11Tet10F.fem
Reference
NAFEMS Ltd, The Standard NAFEMS BENCHMARKS TNSB Rev. 3, NAFEMS Ltd, Scottish Enterprise Technology Park, Whitworth Building, East Kilbride, Glasgow, United Kingdom, 1990.