Abstract
The reorientations of the atoms by frictional shear deformation at the surface induce cracks at the boundary of the grain. The cracks grow and propagate in regions where the hydrostatic component of stress is least compressive because the compressive component restores the cracks by three-dimensional crystallizing $\pi$-bondings. The materials with Lder's band have very small amount of wear at the initial state. It suggests that initial frictional shear deformation be consumed to the formation of the Lder's band. The average wear amounts of the materials increase very steeply as the øu the stress-strain ratio at the ultimate point, decreases.