A spectral formulation of the boundary integral equation method for antiplane problems is presented. The boundary integral equation method relates the displacement discontinuity and the shear stress at an interface between two half-planes. It involves evaluating a space-time convolution of the shear stress or the displacement discontinuity at the interface. In the spectral formulation, the convolution with respect to the spatial coordinate is performed in the spectral domain. The leads to greater numerical efficiency. Prior work on the spectral formulation of the boundary integral equation method has performed the elastodynamic convolution of the displacement discontinuity at the interface. In the present work, the convolution is performed of the shear stress at the interface. The formulation is validated by numerically calculating the response of the interface to harmonic and to impulsive disturbances, and comparing with known analytical solutions. To illustrate use of the method, dynamic rupture propagation with a slip-weakening friction law is simulated.

翻译：提出了抗平面问题边界整体等式方法的光谱配方; 边界整体等式方法涉及移位不连续和两半平面交界面的剪切压力; 涉及评价断层应力的时段变异或界面的移位不连续; 在光谱配方中,空间坐标的变异在光谱域进行; 导致更高的数字效率; 边界整体等式方法的光谱配方方法的先前工作在界面的移位不连续中进行了电离动力变异; 在目前的工作中,对界面的剪切应力进行演变; 通过数字计算界面对调和断流干扰的反应,并与已知的分析解决办法进行比较,从而验证了这种配方; 为了说明这种方法的使用情况,模拟了用滑动摩擦法进行动态断裂。