發(fā)布時(shí)間：2019-08-24 12:47

【摘要】：利用廣義復(fù)變函數(shù)方法研究了1維正方準(zhǔn)晶的2類接觸問題,即有限摩擦接觸和半平面粘結(jié)接觸問題,得到了剛性平底壓頭作用下壓頭下方接觸應(yīng)力及接觸位移的顯式表達(dá)式.結(jié)果表明:(i)對(duì)于有限摩擦接觸問題,接觸應(yīng)力在壓頭邊緣呈現(xiàn)-1/2±θ階奇異性,其中θ由準(zhǔn)晶的彈性常數(shù)和摩擦系數(shù)確定;對(duì)于半平面粘結(jié)接觸問題,接觸應(yīng)力在壓頭的邊緣顯現(xiàn)出-1/2±iε階奇異性,其中ε由準(zhǔn)晶的彈性常數(shù)確定;(ii)由數(shù)值算例可知,對(duì)于2類接觸問題,接觸應(yīng)力在壓頭下方分布規(guī)律相似;接觸位移與聲子場(chǎng)作用力之間成正比例關(guān)系;接觸應(yīng)力在接觸區(qū)邊緣變化非常劇烈,且產(chǎn)生了應(yīng)力集中現(xiàn)象.在一定條件下可得到1維4方和6方準(zhǔn)晶2類接觸問題的解.
[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，

本文編號(hào)：2528975