SINGULAR SOLUTIONS OF AXISYMMETRIC ELASTODYNAMIC PROBLEM FOR MULTILAYERED HALFSPACE
层状弹性半空间轴对称动力问题的奇异解

In the paper, the singular solutions of axisymmetric elastodynamic problem for the multilayered halfspace due to unit dynamic load acting within layered media are derived in time domain with the aid of Laplace-Hankel mixed transforms and transfer matrix method. A numerical computation of these solurions is also proposed using a fast Hankel transform algorithm. Two examples show that the solutions can be readily evaluated and the numerical results have considerably high precision. The presented solutions can be directly applied to determine the transient waves caused by seismic sources and show the potential application to problems of elastodynamics solved by boundary integral method.