A phenomenological model is developed to explain the friction and wear characteristics of high speed sliding contact between blade tips and shrouds in high performance turbomachinery. Equal emphasis is placed on thermal and mechanical mechanisms, and a synergistic relation between the two is derived which yields quantitative predictions of rubbing forces, friction coefficient, total heat input, heat split and relative wear rates between the blade and the shroud. The focal point of the model is a convecting plastic "shear mix" layer on each rubbing surface which is deduced to form regardless of the rub mechanisms initially assumed to prevail.