Journal of South China University of Technology (Natural Science Edition) ›› 2016, Vol. 44 ›› Issue (10): 81-86.doi: 10.3969/j.issn.1000-565X.2016.10.012

• Mechanics • Previous Articles     Next Articles

Electromechanical Coupling Analysis of Functionally Graded Piezoelectric Plate Based on MEMsFEM

MENG Guang-wei1 LI Xiao-lin2 ZHOU Li-ming1 LI Feng1 WANG Hui1   

  1. 1.School of Mechanical Science and Engineering,Jilin University,Changchun 130022,Jilin,China; 2.College of Construction Engineering,Jilin University,Changchun 130026,Jilin,China
  • Received:2014-10-28 Revised:2015-10-15 Online:2016-10-25 Published:2016-09-01
  • Contact: 周立明(1982-)，男，博士，副教授，主要从事计算固体力学研究 E-mail:lmzhou@jlu.edu.cn
  • About author:孟广伟(1959-)，男，教授，博士生导师，主要从事疲劳与断裂研究． E-mail:mgw@ jlu． edu． cn
  • Supported by:
    Supported by the National Key Scientific Instrument and Equipment Development Projects of China(2012YQ030075)， the National Natural Science Foundation of China(51305157) and Jilin Provincial Department of Science and Technology Fund Pro- ject(20160520064JH)

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Abstract:

Functionally graded piezoelectric material (FGPM) is an electromechanical coupling material of conti- nuous property variation.Due to the heterogeneity of the FGPM property,investigating the mechanics of this mate- rial has posed a great challenge.In this paper,an analytical model describing the electromechanical coupling of the FGPM is constructed based on the mixed extended multi-scale finite element method (MEMsFEM). In the model,the multi-scale base functions of electrical fields are set up by using the traditional multi-scale finite element method,and the multi-scale base functions of displacement fields in different directions are set up by using the ex- tended multi-scale finite element method.Moreover,the coupling terms are introduced to model the coupling a- mong the displacement fields in different directions.Since constructing multi-scale base functions helps capture the material heterogeneity effectively,it is feasible to solve the problem in a coarse grid scale,which can significantly reduce the computation amount.Finally,the proposed method is proved to be effective and efficient by numerical examples.It is thus concluded that the proposed method provides an effective approach to simulating the mechani- cal behaviors of functionally graded materials.

Key words: mixed extended multi-scale finite element method, functionally graded materials, piezoelectric materi- al, electromechanical coupling

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