AXISYMMETRIC CONTACT PROBLEM OF CUBIC QUASICRYSTALLINE MATERIALS  

作　　者：Zhou Wangmin Fan Tianyou Yin Shuyuan 

机构地区：[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

出　　处：《Acta Mechanica Solida Sinica》2002年第1期68-74,共7页固体力学学报（英文版）

基　　金：the National Natural Science Foundation of China(No.19972011)

摘　　要：The axisymmetric elasticity theory of cubic quasicrystal was developed in Ref. [1]. The axisymmetric 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, die 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 die contact domain.The axisymmetric elasticity theory of cubic quasicrystal was developed in Ref. [1]. The axisymmetric 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, die 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 die contact domain.

关 键 词：cubic quasicrystal AXISYMMETRY contact problem 

分 类 号：TB125[理学—工程力学]