OS-V: 0510 Wrapped Thick Cylinder

Test No: R0031/2 OptiStruct examines the hoop stress in the inner and outer cylinder at different radius for linear static analysis.



Figure 1. FE Model with Boundary Conditions and Loadcases

Model Files

Before you begin, copy the file(s) used in this problem to your working directory.

Benchmark Model

Ply laminates are created using Quad4 elements for one quarter model of the cylinder. For Case 1 an internal pressure of 200 MPa is applied and for the Case 2 together with the internal pressure, a temperature rise of 130 °C is applied.

The material properties are:
Inner Cylinder (Isotropic)
E
2.1 × 105 MPa
υ
0.3
α
2.0 × 10-5°C-1
Outer Cylinder (Circumferentially wound)
E1
1.3 × 105 MPa
υ 12
0.25
E2
5.0 × 103 MPa
α1

3.0 × 10-6°C-1

α2
2.0 × 10-5°C-1
G12
1.0 × 104 MPa
G33
5.0 × 103 MPa

Linear Static Analysis Results

  Target (MPa) OptiStruct Results (MPa) Normalized with the Target Value
Case 1:
Hoop stress in inner cylinder at r = 23 1565.3 1659.4 0.94329276
Hoop stress in inner cylinder at r = 25 1429.7 1659.4 0.86157647
Hoop stress in outer cylinder at r = 25 874.7 792.6 1.10358314
Hoop stress in outer cylinder at r = 27 759.1 792.6 0.95773404
Case 2:
Hoop stress in inner cylinder at r = 23 1381.0 1392.05 0.99206207
Hoop stress in inner cylinder at r = 25 1259.6 1392.05 0.90485256
Hoop stress in outer cylinder at r = 25 1056.0 1059.92 0.99630161
Hoop stress in outer cylinder at r = 27 936.1 1059.92 0.88317986

Reference

NAFEMS R0031 - Composite Benchmarks, Hardy 2001