The scattering of the harmonic anti-plane shear stress waves by two collinear interface cracks between two dissimilar functionally graded piezoelectric/piezomagnetic material half-infinite planes dynamic loading

Z.-G. Zhou; B. Wang

首页> 外文期刊>Proceedings of the Institution of Mechanical Engineers, Part C. Journal of mechanical engineering science >The scattering of the harmonic anti-plane shear stress waves by two collinear interface cracks between two dissimilar functionally graded piezoelectric/piezomagnetic material half-infinite planes dynamic loading

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The scattering of the harmonic anti-plane shear stress waves by two collinear interface cracks between two dissimilar functionally graded piezoelectric/piezomagnetic material half-infinite planes dynamic loading

机译：两种功能梯度不同的压电/压电材料半无限平面之间的两个共线界面裂纹对谐波反平面剪切应力波的散射

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摘要

In this paper, the dynamic behaviour of two collinear interface cracks between two dissimilar functionally graded piezoelectric/piezomagnetic material half-infinite planes subjected to the harmonic anti-plane shear stress waves is investigated. To make the analysis tractable, it is assumed that the material properties vary exponentially with coordinate vertical to the crack. By using the Fourier transform technique, the problem can be solved with the help of a pair of triple integral equations, in which the unknown variable is the jump of the displacements across the crack surfaces. These equations are solved by using the Schmidt method. The relations among the electric field, the magnetic flux field, and the dynamic stress field near the crack tips can be obtained. Numerical examples are provided to show the effect of the functionally graded parameter, the distance between two interface cracks, and the circular frequency of the incident waves upon the stress, the electric displacement, and the magnetic flux intensity factors of cracks.

机译：本文研究了在谐波反平面剪切应力波作用下，两个不同功能梯度的压电/压电材料半无限平面之间的两个共线界面裂纹的动力学行为。为了使分析更容易进行，假设材料属性与垂直于裂纹的坐标呈指数变化。通过使用傅立叶变换技术，可以借助一对三重积分方程解决该问题，其中未知变量是位移在裂纹表面上的跳跃。这些方程式通过使用Schmidt方法求解。可以得到裂纹尖端附近的电场，磁通量场和动应力场之间的关系。提供了数值示例，以显示功能梯度参数，两个界面裂纹之间的距离以及入射波的圆形频率对裂纹的应力，电位移和磁通强度因子的影响。

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《Proceedings of the Institution of Mechanical Engineers, Part C. Journal of mechanical engineering science》 |2006年第c2期|共12页
作者
Z.-G. Zhou; B. Wang;
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正文语种 eng
中图分类机械学（机械设计基础理论）;
关键词
Functionally graded piezoelectric/piezomagnetic materials; Two collinear interface cracks; Stress wave;

机译：功能梯度压电/压电材料;两个共线界面裂纹;应力波;

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1. The scattering of the harmonic anti-plane shear stress waves by two collinear interface cracks between two dissimilar functionally graded piezoelectric/piezomagnetic material half-infinite planes dynamic loading [J] . Z.-G. Zhou, B. Wang Proceedings of the Institution of Mechanical Engineers, Part C. Journal of mechanical engineering science . 2006,第c2期

机译：两种功能梯度不同的压电/压电材料半无限平面之间的两个共线界面裂纹对谐波反平面剪切应力波的散射
2. An interface crack between two dissimilar functionally graded piezoelectric/piezomagnetic material half infinite planes subjected to the harmonic anti-plane shear stress waves [J] . Zhen-Gong Zhou, Biao Wang International journal of applied electromagnetics and mechanics . 2008,第1a2期

机译：谐波反平面剪应力波作用下两种功能梯度不同的压电/压电材料半无限平面之间的界面裂纹
3. Two Collinear Interface Cracks between Two Dissimilar Functionally Graded Piezoelectric/Piezomagnetic Material Layers under Anti-Plane Shear Loading [J] . Jun LIANG JSME International Journal. Series A, Solid mechanics and material engineering . 2006,第4期

机译：反平面剪切载荷作用下两个功能梯度不同的压电/压电材料层之间的两个共线界面裂纹
4. The Non-Local Theory Solution of a Crack in the Functionally Graded Piezoelectric Materials Subjected to the Harmonic Anti-Plane Shear Stress Waves [C] . Zhengong ZHOU, Linzhi WU Asian Pacific Conference on Fracture and Strength . 2007

机译：在经过谐波反平面剪切应力波的功能渐变压电材料中裂缝的非局部理论解
5. Stress Intensity Factors and Effective Spring Stiffness for Interfaces with Two and Three Dimensional Cracks at the Interface between Two Dissimilar Materials. [D] . Lekesiz, Huseyin. 2011

机译：两种异种材料之间的界面处具有二维和三维裂纹的界面的应力强度因子和有效弹簧刚度。
6. Effective Spring Stiffness for a Planar Periodic Array of Collinear Cracks at an Interface between Two Dissimilar Isotropic Materials [O] . Huseyin Lekesiz, Noriko Katsube, Stanislav I. Rokhlin, -1

机译：两种不同各向同性材料之间的界面处的平面周期阵列的平面周期阵列的有效弹簧刚度
7. Two parallel symmetry permeable cracks in functionally graded piezoelectric/piezomagnetic materials under anti-plane shear loading [O] . Zhou ZG, Wang B 2004

机译：反梯度剪切载荷作用下功能梯度压电/压电材料中的两个平行对称渗透裂纹
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

The scattering of the harmonic anti-plane shear stress waves by two collinear interface cracks between two dissimilar functionally graded piezoelectric/piezomagnetic material half-infinite planes dynamic loading

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