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| SCATTERING OF ANTI-PLANE SHEAR WAVES BY A SINGLE CRACK IN AN UNBOUNDED TRANSVERSELY ISOTROPIC ELECTRO-MAGNETO-ELASTIC MEDIUM | |
| 引用本文： | 杜建科,沈亚鹏,高波. SCATTERING OF ANTI-PLANE SHEAR WAVES BY A SINGLE CRACK IN AN UNBOUNDED TRANSVERSELY ISOTROPIC ELECTRO-MAGNETO-ELASTIC MEDIUM[J]. 应用数学和力学(英文版), 2004, 25(12): 1344-1353 |
| 作者姓名： | 杜建科 沈亚鹏 高波 |
| 作者单位： | [1]StateKeyLaboratoryofMechanicalStructuralStrengthandVibration,Xi＇anJiaotongUniversity,Xi＇an,710049,P.R.China [2]FourthAcademyofCASC,Xi＇an710025,P.R.China [3]StateKeyLaboratoryofMechanicalStructuralStrengthandVibration,Xi＇anJiaotongUniversity,Xi＇an,710049,P.R.China／／FourthAcademyofCASC,Xi＇an710025,P.R.China |
| 基金项目： | theNationalNaturalScienceFoundationofChina (1 0 1 3 2 0 1 0，50 1 3 50 3 0 ) |
| 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 imperme ableboundary 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. |
| 关 键 词： | 电子-磁性-弹性 压力密度 积分方程 切变波 |
| 收稿时间： | 2003-12-20 |
SCATTERING OF ANTI-PLANE SHEAR WAVES BY A SINGLE CRACK IN AN UNBOUNDED TRANSVERSELY ISOTROPIC ELECTRO-MAGNETO-ELASTIC MEDIUM |
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| DU Jian-ke. SCATTERING OF ANTI-PLANE SHEAR WAVES BY A SINGLE CRACK IN AN UNBOUNDED TRANSVERSELY ISOTROPIC ELECTRO-MAGNETO-ELASTIC MEDIUM[J]. Applied Mathematics and Mechanics(English Edition), 2004, 25(12): 1344-1353 | |
| Authors: | DU Jian-ke |
| Affiliation: | 1. 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 2. State Key Laboratory of Mechanical Structural Strength and Vibration, Xi' an Jiaotong University, Xi' an, 710049, P.R.China 3. Fourth Academy of CASC, Xi' an 710025, P.R.China |
| Abstract: | 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. |
| Keywords: | electro-magneto-elasticity SH wave stress intensity factor integral equation |
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