初应力场的Rayleigh波

Rayleigh Waves in Initial Stress Field

讨论初应力场中Rayleigh波速的计算。这种情况下 ,Rayleigh波的传播就是迭加在预应力位形上的小变形运动。由于受初应力的影响 ,计算Rayleigh波速的公式变得复杂。用初应力修正介质的弹性模量后 ,波速方程成为简单的 6次代数方程 ,其中 5次项 ,3次项 ,1次项为零。与无初应力情况相似的这个方程易于求解。

A calculation of velocity of Rayleigh wave in initial stress field is researched in present paper.Under this circumstances the Rayleigh wave propagation is a motion of small deformation superposed on a pre stressed configuration.Because of effect of initial stresses the formula for calculating the Rayleigh wave velocity is complicated.Amending the elastic modulus of the media by use of initial stresses the equation of the Rayleigh wave velocity can be transformed into a simple algebra equation of degree,in which terms of degree 5、degree 3、degree 1 are vanished.This equation similar to that is in no pre stressed madia is solved easily.The numerical result shows how Rayleigh were is evidently affected by pre stresses.