1维正方准晶的2类接触问题
发布时间：2019-08-24 12:47
【摘要】：利用广义复变函数方法研究了1维正方准晶的2类接触问题,即有限摩擦接触和半平面粘结接触问题,得到了刚性平底压头作用下压头下方接触应力及接触位移的显式表达式.结果表明:(i)对于有限摩擦接触问题,接触应力在压头边缘呈现-1/2±θ阶奇异性,其中θ由准晶的弹性常数和摩擦系数确定;对于半平面粘结接触问题,接触应力在压头的边缘显现出-1/2±iε阶奇异性,其中ε由准晶的弹性常数确定;(ii)由数值算例可知,对于2类接触问题,接触应力在压头下方分布规律相似;接触位移与声子场作用力之间成正比例关系;接触应力在接触区边缘变化非常剧烈,且产生了应力集中现象.在一定条件下可得到1维4方和6方准晶2类接触问题的解.
[Abstract]:In this paper, two kinds of contact problems of one-dimensional square quasicrystals, finite friction contact and half-plane bond contact, are studied by using the generalized complex variable function method, and the explicit expressions of contact stress and contact displacement under the action of rigid flat bottom head are obtained. The results show that for the finite friction contact problem, the contact stress is of order-1 鈮，
本文编号：2528975
[Abstract]:In this paper, two kinds of contact problems of one-dimensional square quasicrystals, finite friction contact and half-plane bond contact, are studied by using the generalized complex variable function method, and the explicit expressions of contact stress and contact displacement under the action of rigid flat bottom head are obtained. The results show that for the finite friction contact problem, the contact stress is of order-1 鈮，
本文编号：2528975
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