OS-V: 0220 3D Punch (Rounded Edges)

Contacts Benchmark 2 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 against radial distance from the center of contact and relative tangential slip against distance from the center of contact. OptiStruct also examines the 3D contact, stick/slip behavior along the contact plane, and compares the linear and quadratic elements and the plasticity.

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

Hexa8 and Hexa20 elements are used to create one quarter model with punch diameter 100 mm, punch height 100 mm, foundation diameter 200 mm, foundation height 200 mm and fillet radius at the edge of the punch contact is 10 mm. A uniform pressure of 100 N/mm2 is applied at the top surface of the punch. The bottom surface of the foundation is fixed. Two different contact properties are used, one with coefficient of friction 0.0 and the second with coefficient of friction 0.1. The straight edge of the foundation is considered as the main surface and the nodes on the bottom edge of the punch are selected as the secondary surface.

The material properties are:
Material Properties
Value
Epunch
210 kN/mm2
Vpunch
0.3
Efoundation
70 kN/mm2
Nfoundation
0.3

Nonlinear Static Analysis Results

Figure 2. Axial displacement as a function of the radial coordinate (friction coefficient 0.0 and 0.1) obtained with linear elastic elements


Figure 3. Radial displacement as function of the radial coordinate (friction coefficient 0.0 and 0.1) obtained with linear elastic elements


Figure 4. Axial displacement along top surface of foundation (with friction)


Figure 5. Radial displacement along top surface of foundation (with friction)


Figure 6. Effect of different friction coefficient and method of fiction handling on the radial displacement of the foundation edge (Linear Elements)


Reference

NAFEMS R0094 - Advanced finite element contact benchmarks, Konter 2006