AXISYMMETRIC CONTACT PROBLEM OF CUBIC QUASICRYSTALLINE MATERIALS

The axisymmetric elasticity theory of cubic quasierystal was developed in Ref.[1].The axi-symmetric elasticity problem of cubic quasicrystal is reduced to a single higher-order partial differentialequation by introducing a displacement function,based on which,the exact analytic solutions for the elasticfield of an axisymmetric contact problem of cubic quasicrystalline materials are obtained for universal contactstress or contact displacement.The result shows that if the contact stress has order-1/2 singularity on theedge of the contact domain,the contact displacement is a constant in the contact domain.Conversely,if thecontact displacement is a constant,the contact stress must have order-1/2 singularity on the edge of thecontact domain.