本文简要地阐述了弹性波传播的一些基本理论,如位移势,表现定理及特征线理论等,并评述了两个领域内的问题。一为无限介质,半无限介质及层状介质中波的传播问题,重点在于地震波传播问题的解法。另一个领域为弹性波的绕射和散射。这一问题在动断裂、无损探伤及地震学中有重要的应用。评迷的重点是解题方法。 对本学科将来的发展也作了展望。认为反问题,随机波理论和在新技术领域中的应用是发展方向。在不少工程领域中的应用将越来越多地不能局限在弹性波范围内 This article briefly expounds some basic theories of elastic wave propagation, such as the displacement potential, the representation theorem, and the theory of the characteristics, and reviews the problems in the two fields. One is the problem of wave propagation in infinite media, semi-infinite media, and layered media. The focus is on the solution of seismic wave propagation problems. Another area is the diffraction and scattering of elastic waves. This problem has important applications in dynamic fractures, nondestructive testing and seismology. The focus of critics is to solve the problem. Prospects for the future development of this subject have also been made. It is considered that the inverse problem, the theory of random waves, and its application in the field of new technologies are the direction of development. Applications in many engineering areas will increasingly be limited to the elastic wave range