A spectral formulation of the boundary integral equation method for antiplane problems is presented. The boundary integral equation method relates the slip and the shear stress at an interface between two half-planes. It involves evaluating a space-time convolution of the shear stress or the slip at the interface. In the spectral formulation, the convolution with respect to the spatial coordinate is performed in the spectral domain. This leads to greater numerical efficiency. Prior work on the spectral formulation of the boundary integral equation method has performed the elastodynamic convolution of the slip at the interface. In the present work, the convolution is performed of the shear stress at the interface. The spectral formulation is developed both for an interface between identical solids and for a bi-material interface. It 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 slip rupture propagation with a slip-weakening friction law is simulated.

翻译：提出了用于抗飞机问题的边界整体等式方法的光谱配方; 边界整体等式方法将滑动和两平面界面的剪切压力联系起来; 它涉及评价剪裁压力或界面滑动的时段变异; 在光谱配方中,空间坐标的变异在光谱域中进行; 这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对界面的滑动进行了利他体动力变异; 在目前的工作中,对界面的剪切压进行了演变; 光谱配方既为相同的固体之间的界面,也为双物质界面而研制; 通过数字计算界面对调和脉冲扰动的反应,并与已知的分析解决办法进行比较,从而验证了光谱配方; 为了说明这种方法的使用情况,模拟了带滑动摩擦法的动态滑动分解。