# OS-V: 0230 3D Loaded Pin

Contacts Benchmark 4 For Quasi-static analysis using Linear elastic material, geometric non-linearity and nonlinear boundary conditions. OptiStruct FE results examine the plot of contact pressure, tangential stress and relative tangential slip against angle $\theta$ .

## Benchmark Model

Hexa8 and Hexa20 elements are used to create one quarter model. The length of the sheet from left side to the center is 200mm, the inner radius of the sheet is 50mm, the outer radius of the sheet is 100mm, height of the sheet is 200mm, length of the pin is 20mm and the thickness of the sheet is 10mm. The outer surface of the pin and the inner surface of the sheet are in contact. Two equal point forces, resulting in a total force on the pin of 100kN is acting on both sides of the pin. The left side of the sheet is fixed. A frictional coefficient of 0.1 is acting between the contacts. The nodes along the pin boundary are selected as secondary nodes, while the nodes along the strip are specified to be the main nodes.

The material properties for the loaded pin are:
Material Properties
Value
Epin
210 kN/mm2
Vpin
0.3
Esheet
70 kN/mm2
Vsheet
0.3

## Model Files

The model files used in this problem include:
• contb4H8.fem
• contb4H20.fem

## Reference

NAFEMS R0094 - Advanced finite element contact benchmarks, Konter 2006