We consider a symmetric problem of harmonic wave loading of an infinite elastic matrix with a oneperiodic array of penny-shaped compliant inclusions. By using the periodic Green function, we reduce this problem to a boundary integral equation for a function characterizing a jump of displacements on one representative inclusion. The Green function used to describe the interaction of inclusions is adapted for the efficient determination of its representation in the form of exponentially convergent Fourier integrals. To solve the boundary integral equation, we use the method of collocations. The numerical results are obtained and analyzed for the mode I dynamic stress intensity factor in the vicinity of points of the contour of an inclusion depending on the wave number and the distance between the inclusions.

我们考虑一个带有便士形顺应性夹杂物的单周期阵列的无限弹性矩阵的谐波载荷的对称问题。通过使用周期格林函数，我们将此问题简化为一个边界积分方程，用于描述一个代表性夹杂物上位移跃变的函数。用于描述夹杂物相互作用的格林函数适用于以指数会聚傅立叶积分的形式有效地确定其表示形式。为了解决边界积分方程，我们使用搭配方法。根据波数和夹杂物之间的距离，获得并分析了夹杂物轮廓点附近的模式I动应力强度因子的数值结果。