界面脱胶圆衬砌对出平面动力的响应

采用Green函数法研究含有界面和半圆形脱胶衬砌的全空间对任意角度入射的出平面波的动力响应。将整个空间分为含有半圆形凸起的圆形衬砌的下半部分和含半圆形孔洞的上半部分,并给出在各自水平表面上任意位置施加与时间谐和的出平面线源荷载时上下半空间产生的位移场。取两个位移函数作为Green函数,在界面处应用连续性条件对上下半空间实施"契合",并通过边界条件构造半圆形脱胶,求解全空间在承受出平面动载荷时各部分应力和位移的表达式。弹性衬砌周边及脱胶结构周边的动应力集中因数的数值结果表明,入射波参数及介质参数对动应力集中因数是有影响的。

Dynamic response of interfacial debonding circular lining to anti-plane force

This paper uses the Green function to study the dynamic response of total space possessing interface and semicircular debonded liner to anti-plane wave subjected to incidence at arbitrary angles. The study consists of two steps： firstly dividing space into lower half space with a semicircular convex circular lining and the upper half space with a semi-cylindrical hole and producing the displacement fields resulting from the upper and lower half space due to the application of out-of-plane harmonic line source load on arbitrary position of horizontal surface; secondly taking the two displacement functions as Green＇ functions to realize the joining between the upper and lower half space by applying the continuous interface conditions at interface,construct a semicircular debonding by boundary conditions,and thereby establish the expressions of displacement and stress when whole space is exposed to an out of-plane dynamic force. The numerical results of dynamic stress concentration factors surrounding elastic lining and the debonded structure show that incidence wave parameter and medium parameter have an influence on dynamic stress concentration factors.