elf341 wrote:This is the first time I have heard Hooke's Law mentioned in connection with a viscoelastic material
Isn't it one of the first simple things you come to when exploring deformation properties of viscoelastic materials?
I believe Hooke's law only applies to materials with linear-elastic properties. Elastomer compounds like tire rubber have elastic properties that vary with stress, so Hooke's Law does not apply.
As for tire heating, doesn't most of this heat come from hysteresis loss in the tire body, rather than friction at the contact?