研究弹塑性半平面域应力波传播问题，对于预测和评估工程动力活动中产生的环境振动具有重要的价值。为精确模拟应力波在弹塑性半平面域介质的传播，基于全空间域基本解的弹塑性动力学半平面问题的时域边界元法建立积分方程，仅需对边界和屈服域划分网格，对半无限边界构建了一个能够随着应力波的传播实时调整大小的自适应半无限边界单元，该单元外侧结点恰好位于应力波波前位置，从而完全考虑半无限域对应力波传播的影响。以承受爆炸荷载的含半圆柱形沟槽的弹塑性半平面问题作为算例进行了验证，将计算结果与有限元法、弹性时域边界元法、普通弹塑性时域边界元法模拟的结果进行了综合对比，结果表明，该方法能够有效模拟半无限域对应力波传播的影响，在少量网格离散的前提下精确模拟了应力波在弹塑性半平面域中的传播问题。

Studying the stress waves propagation in the elastoplastic half-plane domain is great value for predicting and evaluating environmental vibrations generated in dynamic engineering activities. To accurately simulate the stress waves propagation in an elastoplastic half-plane medium, the integral equations of time domain boundary element method were established based on the full space. Only the boundary and yield domain need to be meshed, and an adaptive semi-infinite boundary element was constructed to simulate the semi-infinite boundary, which can adjust its size in real-time with the propagation of stress waves. The outer node of the element was exactly located at the front of the stress wave to fully consider the influence of the semi-infinite domain on the propagation of stress waves. The proposed method was verified by the elastoplastic half-plane problem with a semi cylindrical groove subjected to explosive loads, and the results were compared with those of finite element method, elastic time domain boundary element method and ordinary elastoplastic time domain boundary element method. It is shown that the proposed method can effectively simulate the influence of stress wave propagation in a semi-infinite domain, and accurately simulate the propagation of stress waves in an elastoplastic half plane domain with a small number of mesh discretization.