Axisymmetric contact problem of cubic quasicrystalline materials |
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Authors: | Zhou Wangmin Fan Tianyou and Yin Shuyuan |
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Institution: | (1) Department of Applied Physics, Beijing Institute of Technology, 100081 Beijing, China;(2) Hebei Institute of Architectural Science & Technology, 056038 Handan, China;(3) Functional Materials Division, Central Iron & Steel Research Institute, 100081 Beijing, China |
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Abstract: | 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, 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.
Project supported by the National Natural Science Foundation of China (No. 19972011). |
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Keywords: | cubic quasicrystal axisymmetry contact problem |
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