横观各向同性电磁弹性介质中裂纹对SH波的散射

研究横观各向同性电磁弹性介质中裂纹和反平面剪切波之间的相互作用．根据电磁弹性介质的平衡运动微分方程、电位移和磁感应强度微分方程，得到SH波传播的控制场方程．引入线性变换，将控制场方程简化为Helmholtz方程和两个Laplace方程A·D2通过Fourier变换，并采用非电磁渗透型裂面边界条件，得到了柯西奇异积分方程组．利用Chebyshev多项式求解积分方程，得到应力场、电场和磁场以及动应力强度因子的表达，并给出了数值算例．

Scattering of Anti-Plane Shear Waves by a Single Crack in an Unbounded Transversely Isotropic Electro-Magneto-Elastic Medium

A theoretical treatment of the scattering of anti_plane shear(SH) waves is provided by a single crack in an unbounded transversely isotropic electro_magneto_elastic medium. Based on the differential equations of equilibrium, electric displacement and magnetic induction intensity differential equations, the governing equations for SH waves were obtained. By means of a linear transform, the governing equations were reduced to one Helmholtz and two Laplace equations. The Cauchy singular integral equations were gained by making use of Fourier transform and adopting electro_magneto impermeable boundary conditions. The closed form expression for the resulting stress intensity factor at the crack was achieved by solving the appropriate singular integral equations using Chebyshev polynomial. Typical examples are provided to show the loading frequency upon the local stress fields around the crack tips. The study reveals the importance of the electro_magneto_mechanical coupling terms upon the resulting dynamic stress intensity factor.