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横观各向同性电磁弹性介质中裂纹对SH波的散射

杜建科 沈亚鹏 高波

杜建科, 沈亚鹏, 高波. 横观各向同性电磁弹性介质中裂纹对SH波的散射[J]. 应用数学和力学, 2004, 25(12): 1230-1238.
引用本文: 杜建科, 沈亚鹏, 高波. 横观各向同性电磁弹性介质中裂纹对SH波的散射[J]. 应用数学和力学, 2004, 25(12): 1230-1238.
DU Jian-ke, SHEN Ya-peng, GAO Bo. Scattering of Anti-Plane Shear Waves by a Single Crack in an Unbounded Transversely Isotropic Electro-Magneto-Elastic Medium[J]. Applied Mathematics and Mechanics, 2004, 25(12): 1230-1238.
Citation: DU Jian-ke, SHEN Ya-peng, GAO Bo. Scattering of Anti-Plane Shear Waves by a Single Crack in an Unbounded Transversely Isotropic Electro-Magneto-Elastic Medium[J]. Applied Mathematics and Mechanics, 2004, 25(12): 1230-1238.

横观各向同性电磁弹性介质中裂纹对SH波的散射

基金项目: 国家自然科学基金资助项目(10132010;50135030)
详细信息
    作者简介:

    杜建科(1970- ),男,陕西人,高级工程师,博士(Tel:+86-29-83603364;E-mail:du-jianke@126.com);沈亚鹏(联系人.Tel:+86-29-82668751;Fax:+86-29-83237910;E-mail:ypshen@xjtu.edu.cn).

  • 中图分类号: O343

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

  • 摘要: 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.
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出版历程
  • 收稿日期:  2003-12-20
  • 修回日期:  2004-06-29
  • 刊出日期:  2004-12-15

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