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AXISYMMETRIC CONTACT PROBLEM OF CUBIC QUASICRYSTALLINE MATERIALS

Zhou Wangmin~(1,2,3) Fan Tianyou~1 Yin Shuyuan~2(1 Department of Applied Physics,Beijing Institute of Technology,Beijing 100081,China)(2 Hebei Institute of Architectural Science & Technology,Handan 056038,China)(3 Functional Materials Division,Central Iron & Steel Research,Institute,Beijing 100081,China)  
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 differential equation by introducing a displacement function,based on which,the exact analytic solutions for the elastic field of an axisymmetric contact problem of cubic quasicrystalline materials are obtained for universal contact stress or contact displacement.The result shows that if the contact stress has order-1/2 singularity on the edge of the contact domain,the contact displacement is a constant in the contact domain.Conversely,if the contact displacement is a constant,the contact stress must have order-1/2 singularity on the edge of the contact domain.
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