反平面冲击荷载作用下圆柱形洞室的动力响应

对无限弹性土体内圆柱形洞室在反平面冲击荷载的作用下的瞬态响应进行了探讨。用残余变量的方法结合拉普拉斯变换及其逆变换，在频域内的得到土体位移和应力一般表达式，并采用拉普拉斯逆变换的数值方法，给出了问题的数值解。在时域内分析了无限弹性土体内圆柱形孔洞在沿轴向方向的冲击荷载作用下的土体动力响应的变化规律，并将计算结果与静力情况下的作了比较：反平面荷载作用后，波向外发散传播，并沿半径方向衰减，衰减速度较静力情况下的衰减要慢，且距离波源越远二者差别越大；波到达后，该点土体的应力和位移均发生与外荷载相同的三角形变化：先增大，随后减小最后保持为零不变。

Dynamic response of a cylindrical cavity to an anti-plane impact load

The transient response to an anti-plane impact load of an infinite elastic soil body containing a cylindrical cavity is studied. Using the residual variable method combined with Laplace transform and inverse transform, in the frequency domain the displacement and stress of the soil in general expression are respectively obtained. And the numerical solutions of the problem are presented by using the numerical inverse Laplace transform. In the time domain the dynamic responses of the infinite elastic soil are analyzed under axial impact load with a cylindrical cavity, and the calculation results are compared with the static case, the wave spreads and dissipates outward, and attenuates along the radial, the attenuation rare is smaller compared with that under static conditions, and the farther the wave is from the source, the greater the difference between the two. After wave arrival, the stress and displacement of the soil at this point occurre triangular changes, the same with the external load: increase at first and then decrease, remain zero finally.