This study presents an analytic solution for an asymmetrical fastpropagating semi-infinite crack in a strip. The formulation of complexfunction approach for solving dynamic crack problems given by Fan is thebasis of the present analysis. Meanwhile a conformal mapping is used totransform the region of the physical plane onto the upper half-plane inthe mapped plane. The Cauchy integral and analytic continuum are alsoused in the calculation. The analytic solution in closed form isobtained. When the crack is reduced to the symmetrical one, the resultsobtained here are reduced to those given by Fan, which servea check of the present work.rn In the work the dynamic stress intensity factors, dynamic crack openingand sliding displacements and the plastic zones at the dynamic crack tipfor Mode I and Mode II are determined. These results are significant, which may be used to simulate the instability of earthquake fault.%用复变函数方法得到了弹性狭长体中含有一非对称半无限裂纹的动力学问题的分析解.当裂纹速度V 0时,此动力学的解可还原成为静力学的解.该问题I型与II型静态与动态应力强度因子KI, KII得以确定, 并且具有解析的形式.
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