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 H U loss U total H Hysteresis (obtained from DMA testing) U total Total strain energy in tire (obtained from Mechanical Module) U loss Strain energy lost by dissipation Heat generation q U loss VL D ( H U total ) VL Vehicle speed D Tire diameter 2D Axi-symmetric Tire Model Tire (185/60 R15) Geometry and Meshing Material Properties (Lin and Hwang, 2004) Components Material Apex Apex Properties Hyperelastic Density (kg/m³) 1200 InnerLiner InnerLiner Bead Rebar Rubber, Ply Rubber Hyperelastic 1200 Elastic 6500 Hyperelastic 1200 SideWall SideWall Compound Hyperelastic 1200 Tread Tread Hyperelastic 1200 Poison's Ratio - - 0.3 - - Young's Modulus (Pa) Mooney-Rivlin Constants (MPa) - - 207×109 - - C10 = 118.9 C01= -71.8 D1 = 0.003 C10 = 118.9 C01= -71.8 D1 = 0.01 - C10 = 118.9 C01= -71.8 D1 = 0.03 C10 = 118.9 C01= -71.8 D1 = 0.01 C10 = 118.9 C01= -71.8 D1 = 0.04 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