1. Prediction of Temperature Distribution of Steady State Rolling Tires
E. Ledbury, L. Wang, D. Johnson, C. Bouvard, S.D. Felicelli
Mississippi State University

2. Introduction
Diagram of an example of a coupled thermo-mechanical model including three modules

3. Deformation Module Use ABAQUS tire analysis capability
Hyperelastic material
Steady-state rolling analysis
Input: weight, speed, inflation pressure, road friction
Output: Strain – Stress

4. Mechanical Analysis Sequence

5. Dissipation Module
The energy dissipated in the tire by viscoelastic effects can be obtained from the hysteresis of the material
Hysteresis (obtained from DMA testing)
Total strain energy in tire (obtained from Mechanical Module)
Strain energy lost by dissipation
Vehicle speed
Heat generation
Tire diameter

6. 2D Axi-symmetric Tire Model
Tire (185/60 R15) Geometry and Meshing

7. Material Properties (Lin and Hwang, 2004)
Components
Apex
InnerLiner
Bead
Rubber, Ply
SideWall
Tread
Material
Rebar
Rubber
SideWall Compound
Properties
Hyperelastic
Elastic
Density (kg/m³)
1200
6500
Poison's Ratio -
0.3
Young's Modulus (Pa)
207×109
Mooney-Rivlin Constants (MPa)
C10 = 118.9
C01= -71.8
D1 = 0.003
D1 = 0.01
D1 = 0.03
D1 = 0.04

8. Displacement for half-tire static modeling (6 kN, 50 psi)
Displacement Contour
Displacement for half-tire static modeling (6 kN, 50 psi)

9. Displacement vs. Loading
Comparison between model prediction and experiments (Lin and Hwang, 2004)

10. 3D Full-Tire Steady State Rolling
Displacement
Displacement for 3D full-tire steady state rolling modeling (6kN, 50 psi, 80 km/h)

11. Strain Energy Density
ESEDEN at the cross-section connecting to the road contact for 3D full tire steady state rolling modeling (6kN, 50 psi, 80 km/h)

12. Temperature Distribution (50 psi, 60 km/h)
Max Temp. in Tire Shoulder