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 $σ_{y y}$ at the point A inside the cylinder on the y axis for linear static analysis.

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.

The material properties are:

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

All results are normalized with the target value

σ_{z z}

(-105 MPa).

	Direct Stress $σ_{z z}$ 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

必要なモデルファイルのダウンロードについては、モデルファイルへのアクセスを参照してください。

The model files used in this problem include:

LE11Hex20C.fem
LE11Hex20F.fem
LE11Pyr15C.fem
LE11Pyr15F.fem
LE11Tet10C.fem
LE11Tet10F.fem

Reference

NAFEMS R0015 - Selected benchmarks for natural frequency analysis