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2D-3D Contact Analysis Problems
This chapter contains 2D and 3D contact problems and Creo Simulate's results. In a contact analysis, Creo Simulate calculates deformations, stresses, and strains on your model in response to specified loads and subject to specified constraints. Creo Simulate also automatically calculates all predefined measures. This list of measures differs based on the analysis type.
This chapter contains the following contact problems:
mvsc001: 2D Contact-Hertz Contact
mvsc002: 3D Contact-Hertz Contact
mvsc003: Sliding and rolling of a ring on a rigid surface
mvsc004: Interfaces between two cylinders
mvsc005: Sliding wedge
mvsc001: 2D Contact-Hertz Contact
 Analysis Type: 2D Contact Model Type: Plane Strain Comparison: Theory Reference: Roark, R.J. and Young, W. Formula for Stress and Strain. NY; McGraw-Hill Co. 1982. p. 517. Description: A half model of two cylinders of unit depth in contact. Modeled using 2D contact. Determine the maximum stress and contact area.
Specifications
 Element Type: 2D solid Units: IPS Dimensions: R1: 1R2: 1 Material Properties: Mass Density: 0Cost Per Unit Mass: 0Young's Modulus: 1e6 Poisson's Ratio: 0.3Thermal Expansion: 0Conductivity: 0 Constraints: fixed in all but y on vertical edges; fixed in all but x on bottom edge Loads: -1000 on top element edges (symmetry): Total Load=-2000
Comparison of Results Data
 Theory Structure % Difference Contact Area 0.0481 0.0481 0% Maximum Stress (m=contact_max_press) 26450 26353.88 0.363% Convergence %: 0.8 % on Contact Area and Contact Pressure Max P: 9 No. Equations: 397
mvsc002: 3D Contact-Hertz Contact
 Analysis Type: 3D Contact Model Type: 3D Comparison: Theory Reference: Roark, R.J. and Young, W. Formula for Stress and Strain. NY; McGraw-Hill Co. 1982. p. 517. Description: A quarter section of two hemispheres in contact. Determine the maximum stress and contact area.
Specifications
 Element Type: 2D solid Units: IPS Dimensions: R1: 2R2: 3 Material Properties: Mass Density: 1Cost Per Unit Mass: 1Young's Modulus: 1e7 Poisson's Ratio: 0.3Thermal Expansion: 1Conductivity: 1 Constraints: fixed in all but y on xz face; fixed in all but x on yz face; fixed on bottom edge Loads: -25000 on top element faces (symmetry): Total Load=-100000
Comparison of Results Data
 Theory Structure % Difference Contact Area 0.0507 0.0481 7.692% Maximum Stress (m=contact_max_pres) 740285 742075.3 0.241% Convergence %: 1.6 % on measure convergence Max P: 9 No. Equations: 6192
mvsc003: Sliding and rolling of a ring on a rigid surface
 Analysis Type: 2D contact Model Type: 2D Plane Strain Comparison: NAFEMS Benchmark Reference: Benchmark tests for finite element modelling of contact, gap and sliding, Ref:- R0081, Issue: 1, CGS - 7, PP 53. Description: The problem consists of a simple 2D model with finite friction subjected to prescribed displacement.
1. contact interface
Specifications
 Element Type: 2D solid Units: mmNs Dimensions: R: 500 mm Material Properties: Mass Density: 7850 kg/m^3Young's Modulus: 210 GPa Poisson's Ratio: 0.3 Constraints: The steel ring is fixed along X- axis. Loads: G = 2443 NPrescribed displacement x= 785 mm on bottom edge of the plate Coefficient of Friction μ=1.0
Comparison of Results Data
 NAFEMS Structure % Difference Rotation in the ring in degree (m = rotation_ring) 90 89.9 0.1 %
mvsc004: Interfaces between two cylinders
 Analysis Type: 2D contact Model Type: 2D Axisymmetric Comparison: NAFEMS Benchmark Reference: Benchmark tests for finite element modelling of contact, gap and sliding, Ref:- R0081, Issue: 1, CGS - 10, PP 61. Description: The problem consists of a simple 2D contact problem with 20 mm interference. Average contact pressure is computed.
1. interference
Specifications
 Element Type: 2D Solid Units: mmNs Dimensions: As shown in the figure above Material Properties: Mass Density: 0Young's Modulus: 206E9 N/m^2 Poisson's Ratio: 0.0 Constraints: The top and bottom of the two cylinders are constraint in the vertical direction. Loads: A dummy load is applied on extreme left edge.
Comparison of Results Data
 NAFEMS Structure % Difference Contact Pressure in N/m^2 (m = pressure_avg) 2.275E8 2.346E8 3 %
mvsc005: Sliding wedge
 Analysis Type: 2D contact Model Type: 2D Axisymmetric Comparison: NAFEMS Benchmark Reference: Benchmark tests for finite element modelling of contact, gap and sliding, Ref:- R0081, Issue: 1, CGS - 4, PP 47. Description: The problem consists of a simple 2D model with finite friction.
1. contact interface
Specifications
 Element Type: 2D Solid Units: MKS Dimensions: As shown in the figure above Material Properties: Mass Density: 0Young's Modulus: 206 GPa Poisson's Ratio: 0.3 Constraints: The bottom of the foundation is constrained in all directions. The left side of the wedge is connected to 9 linear springs (stiffness 98 N/m) in the horizontal direction. The other end of the springs are constrained in all directions. Loads: F = 1500 NG = 3058 N Coefficient of Friction μ= 0.1
Comparison of Results Data
 NAFEMS Structure % Difference Horizontal Displacement (m = displacement_x) 1.0 1.0 0 %