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

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

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

Mechanical Analysis Sequence

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

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

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

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

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

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

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)

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