Analytical solution of multiple moving cracks in functionally graded piezoelectric strip

doi:10.1007/s10483-015-1942-6

Applied Mathematics and Mechanics (English Edition) ›› 2015, Vol. 36 ›› Issue (6): 777-792.doi: https://doi.org/10.1007/s10483-015-1942-6

Analytical solution of multiple moving cracks in functionally graded piezoelectric strip

R. BAGHERI¹, M. AYATOLLAHI¹, S. M. MOUSAVI²

1. Faculty of Engineering, University of Zanjan, Zanjan 45371-38791, Iran;
2. Department of Civil and Structural Engineering, Aalto University, FI-00076 AALTO, Finland

收稿日期:2014-05-10 修回日期:2014-11-16 出版日期:2015-06-01 发布日期:2015-06-01
通讯作者: M. AYATOLLAHI E-mail:mo_ayatollahy@yahoo.com

Analytical solution of multiple moving cracks in functionally graded piezoelectric strip

R. BAGHERI¹, M. AYATOLLAHI¹, S. M. MOUSAVI²

1. Faculty of Engineering, University of Zanjan, Zanjan 45371-38791, Iran;
2. Department of Civil and Structural Engineering, Aalto University, FI-00076 AALTO, Finland

Received:2014-05-10 Revised:2014-11-16 Online:2015-06-01 Published:2015-06-01
Contact: M. AYATOLLAHI E-mail:mo_ayatollahy@yahoo.com

摘要/Abstract

摘要： The dynamic behaviors of several moving cracks in a functionally graded piezoelectric (FGP) strip subjected to anti-plane mechanical loading and in-plane electrical loading are investigated. For the first time, the distributed dislocation technique is used to construct the integral equations for FGP materials, in which the unknown variables are the dislocation densities. With the dislocation densities, the field intensity factors are determined. Moreover, the effects of the speed of the crack propagation on the field intensity factors are studied. Several examples are solved, and the numerical results for the stress intensity factor and the electric displacement intensity factor are presented graphically finally.

关键词: functionally graded, moving crack, dislocation density, strip, piezoelectric

Abstract: The dynamic behaviors of several moving cracks in a functionally graded piezoelectric (FGP) strip subjected to anti-plane mechanical loading and in-plane electrical loading are investigated. For the first time, the distributed dislocation technique is used to construct the integral equations for FGP materials, in which the unknown variables are the dislocation densities. With the dislocation densities, the field intensity factors are determined. Moreover, the effects of the speed of the crack propagation on the field intensity factors are studied. Several examples are solved, and the numerical results for the stress intensity factor and the electric displacement intensity factor are presented graphically finally.

Key words: functionally graded, moving crack, dislocation density, strip, piezoelectric

中图分类号:

O346

R. BAGHERI, M. AYATOLLAHI, S. M. MOUSAVI. Analytical solution of multiple moving cracks in functionally graded piezoelectric strip[J]. Applied Mathematics and Mechanics (English Edition), 2015, 36(6): 777-792.

参考文献

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Analytical solution of multiple moving cracks in functionally graded piezoelectric strip

Analytical solution of multiple moving cracks in functionally graded piezoelectric strip

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