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功能梯度压电压磁板中热机电的耦合分析

陆万顺 马旭

西北师范大学学报(自然科学版)2011,Vol.47Issue(5):40-45,6.
西北师范大学学报(自然科学版)2011,Vol.47Issue(5):40-45,6.

功能梯度压电压磁板中热机电的耦合分析

Analysis of thermo-mechanical-electric behaviour of functionally graded piezoelectric piezomagnetic material plate

陆万顺 1马旭1

作者信息

  • 1. 宁夏师范学院数学与计算机科学学院,宁夏固原756000
  • 折叠

摘要

Abstract

The thermo-mechanical-electric behaviour of functionally graded piezoelectric piezomagnetic material plate is discussed in the paper. Taking account of the permeable boundary conditions, firstly, the system complex governing equations can be obtained by using the constitutive relations of functionally graded piezoelectric composite materials. Secondly, the Fourier integral transform techniques are used to reduce the problem to the dual integral equations. Thirdly, these dual integral equations are changed into Fredholm integral equations by using Copson method. And then, the numerical integration technique is made use of to solve the integral equations, the stress, electric displacement and magnetic intensity factors at crack tips are obtained. At last, the numerical results show the effect of loading combination parameter, material distribution, the frequency of temperature and material coefficient upon the normalized intensity factor.

关键词

功能梯度压电压磁材料/强度因子/Copson方法/Fourier变换/Fredholm积分方程

Key words

functionally graded piezoelectric piezomagnetic material/ intensity factor/ Copson method/Fourier transform/ Fredholm integral equation

分类

数理科学

引用本文复制引用

陆万顺,马旭..功能梯度压电压磁板中热机电的耦合分析[J].西北师范大学学报(自然科学版),2011,47(5):40-45,6.

基金项目

宁夏自然科学基金资助项目(NZ11253 ()

NZ11257)) ()

宁夏师范学院科学研究项目(YB200911 ()

YB2010007 ()

ZD2010002) ()

西北师范大学学报(自然科学版)

OA北大核心CSTPCD

1001-988X

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