SCATTERING OF ANTI-PLANE SHEAR WAVES BY A SINGLE CRACK IN AN UNBOUNDED TRANSVERSELY ISOTROPIC ELECTRO-MAGNETO-ELASTIC MEDIUM

被引：1
|
作者：
杜建科
沈亚鹏
高波
机构：
[1] State Key Laboratory of Mechanical Structural Strength and Vibration, Xi’an Jiaotong University, Xi’an, 710049, P.R.China
[2] Fourth Academy of CASC, Xi’an 710025, P.R.China ,State Key Laboratory of Mechanical Structural Strength and Vibration, Xi’an Jiaotong University, Xi’an, 710049, P.R.China ,Fourth Academy of CASC, Xi’an 710025, P.R.China
来源：
Applied Mathematics and Mechanics(English Edition) | 2004年 / 12期
关键词：
electro-magneto-elasticity; SH wave; stress intensity factor; integral equation;
D O I：
暂无
中图分类号：
O348 [实验应力分析];
学科分类号：
摘要：
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.
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页码：1344 / 1353
页数：10
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