留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

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.
  • [1] Yang Y, Norris A N. Shear wave scattering from a debonded fiber[J].Journal of Mechanics and Physics of Solids,1991,39(2):273—294. doi: 10.1016/0022-5096(91)90006-A
    [2] Wang X M, Ying C F. Scattering of guided SH-wave by a partly debonded circular cylinder in a traction free plate[J].Science in China,Series A,2001,44(3):378—388. doi: 10.1007/BF02878719
    [3] Wang Y S, Wang D. Scattering of elastic waves by a rigid debonded from its surrounding matrix—Ⅰ:SH case[J].International Journal of Solids and Structures,1996,33(19):2789—2815. doi: 10.1016/0020-7683(95)00179-4
    [4] Zhou Z G, Shen Y P.Scattering of harmonic elastic waves by a plane interface crack with linear adhesive tips in a layered half space[J].Acta Mechanica Solida Sinica,1994,7(2):105—113.
    [5] Ryan R L, Mall S.Scattering of antiplane shear waves by a submerged crack[J].International Journal of Solids and Structures,1982,18(12):1145—1152. doi: 10.1016/0020-7683(82)90099-3
    [6] Zhou Z G, Li H C, Wang B. Investigation of the scattering of anti-plane shear waves by two collinear cracks in a piezoelectric material using a new method[J].Acta Mechanica,2001,147(1):87—97. doi: 10.1007/BF01182354
    [7] Narita F, Shindo Y.Scattering of antiplane shear waves by a finite crack in piezoelectric laminates[J].Acta Mechanica,1999,134(1):27—43. doi: 10.1007/BF01170302
    [8] Wang X D, Meguid S A.Modeling and analysis of the dynamic behavior of piezoelectric materials containing interacting cracks[J].Mechanics of Materials,2000,32(7):723—737. doi: 10.1016/S0167-6636(00)00043-0
    [9] Wang X D.On the dynamic behavior of interaction interfacial cracks in piezoelectric media[J].International Journal of Solids and Structures,2001,38(8):851—831.
    [10] Wang X M, Shen Y P.The conservation laws and path-independent integrals for linear electro-magneto-elastic media with an application[J].International Journal of Solids and Structures,1996,33(8):865—878. doi: 10.1016/0020-7683(95)00062-F
    [11] Huang J H, Kuo W S.The analysis of piezoelectric/piezomagnetic composite materials containing an ellipsoidal inclusion[J].Journal of Applied Physics,1997,81(3):1378—1386. doi: 10.1063/1.363874
    [12] Pan E. Exact solution for simply supported and multilayered magneto-electro-elastic plates[J].ASME Journal of Applied Mechanics,2001,68(6):608—618. doi: 10.1115/1.1380385
    [13] WANG X,Shen Y P.The general solution of three-dimensional problem in magneto-electro-elastic media[J].International Journal of Engineering Science,2002,40(10):1069—1080. doi: 10.1016/S0020-7225(02)00006-X
  • 加载中
计量
  • 文章访问数:  2216
  • HTML全文浏览量:  57
  • PDF下载量:  653
  • 被引次数: 0
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

目录

    /

    返回文章
    返回