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

横观各向同性电磁弹性介质中裂纹对SH波的散射

1.
西安交通大学机械结构强度与振动实验室,西安 710049;2.中国航天科技集团公司第四研究院,西安 710025

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
计量
- 文章访问数: 2402
- HTML全文浏览量: 116
- 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

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

1.
State Key Laboratory of Mechanical Structural Strength and Vibration, Xi'an Jiaotong University, Xi'an, 710049, P. R. China;

摘要

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．
- 电磁弹性 /
- SH波 /
- 应力强度因子 /
- 积分方程
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 differ ential 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 bo undary conditions.The closed for m 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.
- electro-magneto-elasticity /
- SH wave /
- stress intensity factor /
- integral equation

HTML全文

参考文献(13)

[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

施引文献

资源附件(0)

访问统计

计量

文章访问数: 2402
HTML全文浏览量: 116
PDF下载量: 653
被引次数: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

留言板

横观各向同性电磁弹性介质中裂纹对SH波的散射

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).

计量

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

计量

目录

留言板

横观各向同性电磁弹性介质中裂纹对SH波的散射

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).

计量

出版历程

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

计量

出版历程

目录

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).