八次对称二维准晶材料接触问题

本文通过引入位移函数和应用Fourier分析与对偶积分方程理论圆满解决了在一个刚性平头冲头作用下八次对称二维准晶材料的接触问题，得到了此材料接触问题应力与位移的解析表达式。结果表明，如果接触位移在接触区域内为一常数，则接触应力在接触边缘具有1／2阶奇异性，这为准晶材料的接触变形提供了重要的力学量。

Contact Problem in Octagonal Two-dimensional Quasicrystalline Material

A contact problem with the action of a rigid flat die in the octagonal two-dimensional quasicrys-talline material was solved by introducing displacement function and using Fourier analysis and dual integral equations theory. The analytical expressions of stress and displacement fields of the contact problem were achieved. The results show that if the contact displacement is a constant in the contact zone, the vertical contact stress has order 1/2 singularity in the edge of the contact zone, which provide the important mechanics parameter for contact deformation of quasicrystalline material.