各向异性弹性体光滑接触界面上的滑移脉冲波

Slip Pulse at a Smoothly Contact Interface Between Two Anisotropic Elastic Solids

利用Stroh公式,Fourier分析和奇异积分方程技术研究了两各向异性弹性半空间光滑接触可分离界面上滑移脉冲波的存在及其传播特性。结果表明,如果至少能在一种介质中存在Rayleigh波,且其波速小于两种介质中的最小极限速度,则滑移脉冲波就可以存在。这种脉冲波传播速度不确定,可在最小极限波速与较低的Rayleigh波速之间取值,而该取值范围又取决于无界面分离情况下的第一、第二滑移波的解。分离区大小取决于扰动的强度,界面法向力和质点速度在分离区两端有 1 /2奇异性。

The existence and propagation of a slip pulse at a smoothly contact separable interface between two anisotropic elastic half spaces is discussed in details based on the Stroh sextic formalism together with Fourier analysis and the singular integral equation technique. It is found that the slip pulse may exist if the Rayleigh wave arises at least in one medium with a speed below the minimum limiting speed of two media. The propagating speed of the slip pulse is not fixed, which can be valued with in the region between the lower Rayleigh wave speed and minimum limiting speed. The speed region depend on the existence of the first and second slip-wave solutions with out interfacial separation. The size of the separation zone depends on the amplitude of the motion, and the interface normal traction and the particle velocities involve square-root singularity at both ends of the separated zones.