Multiple moving cracks in a functionally graded strip

R. Bagheri; M. Ayatollahi

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Multiple moving cracks in a functionally graded strip

机译：功能梯度钢带中的多个运动裂纹

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摘要

This paper considers several finite moving cracks in a functionally graded material subjected to anti-plane deformation. The distributed dislocation technique is used to carry out stress analysis in a functionally graded strip containing moving cracks under anti-plane loading. The Galilean transformation is employed to express the wave equations in terms of coordinates that are attached to the moving crack. By utilizing the Fourier sine transformation technique the stress fields are obtained for a functionally graded strip containing a screw dislocation. The stress components reveal the familiar Cauchy singularity at the location of dislocation. The solution is employed to derive integral equations for a strip weakened by several moving cracks. Numerical examples are provided to show the effects of material properties, the crack length and the speed of the crack propagating upon the stress intensity factor.

机译：本文考虑了功能梯度材料中发生反平面变形的几个有限运动裂纹。分布式位错技术用于在功能梯度钢带中进行应力分析，该带钢在反平面载荷下包含运动裂纹。伽利略变换用于根据附在运动裂缝上的坐标来表达波动方程。通过使用傅立叶正弦变换技术，可以获得包含螺钉错位的功能梯度钢带的应力场。应力分量在位错位置揭示了熟悉的柯西奇点。该解决方案用于导出被多个运动裂纹削弱的钢带的积分方程。数值例子表明了材料性能，裂纹长度和裂纹扩展速度对应力强度因子的影响。

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来源
《Applied Mathematical Modelling》 |2012年第10期|p.4677-4686|共10页
作者
R. Bagheri; M. Ayatollahi;
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作者单位

Faculty of Engineering, University of Zanjan, P.O. Box 45195-313, Zanjan, Iran;

Faculty of Engineering, University of Zanjan, P.O. Box 45195-313, Zanjan, Iran;

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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
关键词
anti-plane; functionally graded material; multiple moving crack; screw dislocation;

机译：防平面功能分级材料;多动裂纹螺丝脱位;

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Multiple moving cracks in a functionally graded strip

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