Based on the " Triangular Asperities Hypothesis", the paper proposed " Repose shaped Angle ", "Repose Angle of lapping surface " and so on , to create some deform friction models of different surface inclination and different modulus of elasticity of those materials. It is discussed respectively the relationship of material elastic modulus, asperities deformation, and friction coefficient. And in the paper the deformation of those hard materials is considered to be in conformity with the principle and the deformation of those soft materials in conformity with the principle. In consideration of different materials, the " determining factor " of friction coefficient is mainly determined by the high elasticity . The friction coefficient between two materials with different elastic modulus tends to be larger than that between the same materials generally. Friction coefficient tends to be determined by stiffness and steep Asperities. The asperities becomes smoother on long asymmetrical deformation and inclination angle becomes smaller and the friction coefficient becomes larger. This is an important reason that the friction coefficient of a triangular asperities becomes smaller after running. The theoretical Ratio of Dynamic/Static Friction Coefficient, the Amplification Ratio and the Asperities Original Inclination, n and so on , were calculated. The Dynamic/Static Friction Coefficient is always increases with the increase of the Asperities Original Inclination Angle and the Mesoscopic Friction Angle. The Amplification Ratio will decreases obviously with the decreases of the Mesoscopic Friction Angle also. The friction angle of the tire can be reduced not only by the friction angle of the tire, but also by the friction angle. The Static Friction Coefficient which always of about 1.4-1.5 times the Dynamic Friction Coefficient were the majority, that should be the reasons why the Static Friction Coefficient be caused a huge difference.