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中文摘要：
以弹性空腔膨胀为研究对象，利用速度和应力2种边界条件下运动场势函数相等的原理，运用Laplace变换及其卷积定理，得到了两种边界条件的相互转换关系，建立了球面波运动场中速度场与应力场的转换关系。以双指数应力时程和正弦指数衰减速度时程为例，研究了球面波运动场转换的特点。结果表明，球面波上的应力和速度之间不是简单的线性关系，与平面波相比，球面波上的质点速度较小。而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，波传播距离越近，传播速度越快，这种差异越大。
英文摘要：
Taking cavity expansion in an elastic medium as the object of study, using the theory that movement fields on the boundary conditions of velocity and stress have the same potential, applying Laplace transformation and it＇s convolution theorem, transformation between two boundary conditions was obtained, and transformation between velocity field and stress field of the spherical wave was got. Taking a double-exponential decay of dynamic stress and a sine exponential decay of velocity for examples, characteristics of the movement field in the spherical wave were analyzed. Results show that there does not lie a simply linear relationship between the stress and velocity in the spherical wave. Compared with the plane wave, the particle velocity in the spherical wave is smaller. Critical factors resulting in these differences are the wave propagation distance and wave velocity in media, the smaller the wave propagation distance is and the bigger wave velocity in media is, the more distinct these differences are.
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