OS-V: 0293 Hertzian Contact - Rigid Sphere and Elastic Half Space, S2S Contact with Smoothing
Hertzian contact is demonstrated using OptiStruct for rigid sphere & elastic half space – S2S CONTACT with Smoothing.
Model Files
Benchmark Model
In the model, a 100x100x100 half space (1/4th model) with 2nd order CHEXA elements is used. See Figure 2.
- Material Properties
- Value
- Young's modulus (E)
- 210000
- Poisson's ratio ( )
- 0.3
- R
- 30
- d
- 0.1
Analytical Results:
These analytical solutions are provided by Popov, 2010. The derivation of the analytical solution is beyond the technical scope of this document. Some key variables of the analytical solution are as follows:
- Radius of the sphere.
- Depth of indentation.
- Young's modulus.
- Poisson's ratio.
Results
Pressure/Stress (Magnitude) | r/a | |
---|---|---|
Analytical Result | OptiStruct (S2S)-Contact Pressure | |
8482 | 8545 | 0 |
8350 | 8200 | 0.2 |
7700 | 7930 | 0.4 |
6800 | 6500 | 0.6 |
5100 | 5240 | 0.8 |
0 | 160 | 1 |