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 $\theta$ .

Model Files

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

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 200 mm, the inner radius of the sheet is 50 mm, the outer radius of the sheet is 100 mm, height of the sheet is 200 mm, length of the pin is 20 mm and the thickness of the sheet is 10 mm. 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 100 kN 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

Reference

NAFEMS R0094 - Advanced finite element contact benchmarks, Konter 2006