Dynamic responses around cylindrical inclusion in inhomogeneous medium are discussed. A mathematical model of inhomogeneous half space is established. The shear modulus of the medium is assumed to change in two dimensions. Based on complex function theory, the governing equations are derived. Meanwhile, the auxiliary function is introduced. By solving the governing equation, the analytical expressions of the displacement field and stress field formed by Bessel function and Hankel function are obtained. The unknown coefficients can be obtained by boundary conditions. According to numerical examples, the results of this paper are compared with published results to verify the validity of the method. Meanwhile, the effects of inhomogeneous parameters, reference wave number and burial location on the dynamic stress concentration factor (DSCF) around a cylindrical inclusion are discussed.

讨论了非均质介质中圆柱形夹杂物周围的动力响应。建立了不均匀半空间的数学模型。假定介质的剪切模量在二维上变化。基于复函数理论，推导了控制方程。同时，介绍了辅助功能。通过求解控制方程，得到由贝塞尔函数和汉克尔函数形成的位移场和应力场的解析表达式。未知系数可以通过边界条件获得。通过数值算例，将本文结果与已发表的结果进行比较，验证了该方法的有效性。同时，参数不均匀的影响