Scattering of anti-plane stress waves by a crack in a non-homogeneous orthotropic medium

Li Ma; Wu Nie; Lin-Zhi Wu; Li-Cheng Guo

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Scattering of anti-plane stress waves by a crack in a non-homogeneous orthotropic medium

机译：非均质正交各向异性介质中裂纹对反平面应力波的散射

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摘要

Scattering of anti-plane harmonic waves by a finite crack in the functionally graded orthotropic medium is investigated by means of the Schmidt method. By using the Fourier transform and denning the jump of displacement components across the crack surface as the unknown function, a pair of dual integral equations are derived. To solve the dual integral equations, the jump of the displacement components across the crack surface is expanded in a series of Jacobi polynomial. The dynamic stress intensity factor is obtained as functions of the incident wavelength, gradient parameter of the functionally graded materials. Numerical examples are provided to show the effects of material properties upon the dynamic fracture behavior of the functionally graded materials.

机译：利用Schmidt方法研究了功能梯度正交各向异性介质中有限裂纹对反平面谐波的散射。通过使用傅立叶变换并将裂纹表面上位移分量的跳跃作为未知函数来确定，导出了一对对偶积分方程。为了解决对偶积分方程，在一系列Jacobi多项式中扩展了位移分量在裂纹表面上的跳跃。动态应力强度因数是入射波长，功能梯度材料的梯度参数的函数。提供了数值示例，以显示材料特性对功能梯度材料的动态断裂行为的影响。

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来源
《Composite Structures》 |2007年第2期|p.174-179|共6页
作者
Li Ma; Wu Nie; Lin-Zhi Wu; Li-Cheng Guo;
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作者单位

Center for Composite Materials, Harbin Institute of Technology, Harbin 150001, China;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类工程材料学;
关键词
functionally graded orthotropic materials; scattering of stress wave; dynamic stress intensity factor;

机译：功能梯度正交异性材料;应力波散射;动态应力强度因子;

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专利

1. Love Waves in a Non-Homogeneous Orthotropic Magneto-Elastic Layer Under Initial Stress Overlying a Semi-Infinite Medium [J] . A. M. Abd-Alla, S. M. Abo-Dahab, T. A. Al-Thamali Journal of computational and theoretical nanoscience . 2013,第1期

机译：应力作用下半无限介质上非均质正交各向异性磁弹性层中的爱波
2. Propagation of Love waves in a non-homogeneous orthotropic elastic layer under initial stress overlying semi-infinite medium [J] . Abd-Alla A.M., Ahmed S.M. Applied mathematics and computation . 1999,第2期

机译：半无限大介质在初始应力作用下非均匀正交各向异性弹性层中爱波的传播
3. SCATTERING OF ANTI-PLANE SHEAR WAVES BY A SINGLE CRACK IN AN UNBOUNDED TRANSVERSELY ISOTROPIC ELECTRO-MAGNETO-ELASTIC MEDIUM [J] . 杜建科, 沈亚鹏, 高波应用数学和力学（英文版） . 2004,第012期

机译：无界横观各向同性电磁电磁介质中单裂纹对反平面剪切波的散射
4. The static stress intensity factor around the anti-plane crack in an orthotropic functionally graded material [C] . Xuexia Zhang, Zhixin Hu International conference on fracture . 2013

机译：正交各向异性功能梯度材料中反平面裂纹周围的静应力强度因子
5. Scattering and diffraction of anti-plane (SH) elastic waves by parabolic surface topographies [D] . Teng, LiPing Lily 2012

机译：抛物线形表面形貌对反平面（SH）弹性波的散射和衍射
6. Wave Propagation through a Viscous Fluid Contained in a Tethered Initially Stressed Orthotropic Elastic Tube [O] . H. B. Atabek 1968

机译：通过束缚在初始受力正交各向异性弹性管中的粘性流体的波传播
7. Stoneley waves in a non-homogeneous orthotropic granular medium under the influence of gravity [O] . S. M. Ahmed 2005

机译：斯通利在重力作用下在非均匀的正交各向异性颗粒介质中波动
8. Order of the Stress Singularity for an Anti-Plane Shear Crack at the Interface of Two Bonded Inhomogeneous Elastic Materials [R] . Schovanec, L., Walton, J. R. 1986

机译：两种粘结非均匀弹性材料界面反平面剪切裂纹的应力奇异性顺序

Scattering of anti-plane stress waves by a crack in a non-homogeneous orthotropic medium

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