八次对称二维准晶的有限摩擦接触问题

摘要

研究了八次对称二维准晶的有限摩擦接触问题.借助复变函数方法,有限摩擦接触问题被转换为黎曼-希尔伯特边值问题.通过黎曼-希尔伯特边值问题的求解,得到了平底刚性压头作用下接触应力的显式解.在一定条件下,由本文结论可得到十次对称二维准晶有限摩擦接触问题的解.%The paper considers the frictional contact problem in two dimensional(2D) octagonal quasicrystals.With the aid of the complex variable method,the frictional contact problem is converted into Riemann-Hilbert boundary problem to be solved,and the expressions of contact stress are explicitly obtained under the action of a rigid flat punch.As a special case,the results in the paper can be degenerated into the corresponding conclusions in 2D decagonal quasicrystals.