深埋爆炸波传播规律及边界条件转换分析

摘要

Choose the elasticity cavity expansion as the subject investigated, based on the equivalent load theory and elastic wave theory, the deep blast propagation model is build. Using the principle of that the potential functions equal to each other for different boundary conditions, a transition rule is also build up between velocity field and stress field. The result shows that: differ from linear relation in plane waves, the transi- tion between velocity field and stress field in spherical waves is much more complicated. For the same stress condition, the particle velocity is slo- wer, the factor that influences the magnitude of this difference are the propagation distance and speed.%以弹性空腔膨胀为研究对象，在爆炸等效荷载理论以及弹性波理论的基础上，建立了深埋地下爆炸波传播模型，并利用速度和应力两种边界条件下运动场势函数相等的原理，建立了球面波运动场中速度场与应力场的转换关系。结果表明：不同于平面波中应力和速度的线性关系，球面波中应力与速度转换关系要复杂的多，相同应力条件下，球面波上的质点的速度要小，影响这种差异大小的主要因素是波的传播距离和介质中波的传播速度。