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中南大学学报(自然科学版)

Journal of Central South University

第49卷    第5期    总第285期    2018年5月

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文章编号:1672-7207(2018)05-1080-07
基于非均匀光滑有限元法的含圆孔功能梯度压电板应力和电场集中因子分析
蔡斌1,周立明2

(1. 吉林建筑大学 土木工程学院,吉林 长春,130118; 2. 吉林大学 机械科学与工程学院,吉林 长春,130025)

摘 要: 为提高含圆孔功能梯度压电板应力和电场集中因子的求解精度,提出含圆孔功能梯度压电板的力电耦合非均匀基于单元的光滑有限元法。采用高斯点处的真实材料属性进行计算,分析材料属性按某一方向呈指数函数梯度变化时含孔功能梯度压电板应力和电场集中因子,并与非均匀有限元求解结果进行对比。研究结果表明:该方法求解力电耦合作用下功能梯度压电板的应力集中因子和电场集中因子具有较高的精度。

 

关键字: 功能梯度压电材料;非均匀光滑有限元法;应力集中因子;电场集中因子

Analysis of stress and electric field concentration in a functionally graded piezoelectric plate with a circular hole based on nonhomogeneous smoothed finite element method
CAI Bin1, ZHOU Liming2

1. School of Civil Engineering, Jilin Jianzhu University, Changchun 130118, China; 2. School of Mechanical Science and Engineering, Jilin University, Changchun 130025, China

Abstract:In order to improve the calculation precision of stress and electric field concentration factor for the functionally graded piezoelectric plate with a circular hole, electromechanical coupling nonhomogeneous cell-based smoothed finite element method was proposed. Real material properties of Gaussian point were used to calculate. Stress and electric field concentration factor of functionally graded piezoelectric plate with a hole was studied, in which material properties of the piezoelectric plate was changing exponentially in a certain direction. The results show that this method has high precision in calculating stress and electric field concentration factor for the functionally graded piezoelectric plate.

 

Key words: functionally graded piezoelectric materials; nonhomogeneous smoothed finite element method; stress field concentration factor; electric field concentration factor

中南大学学报(自然科学版)
  ISSN 1672-7207
CN 43-1426/N
ZDXZAC
中南大学学报(英文版)
  ISSN 2095-2899
CN 43-1516/TB
JCSTFT
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