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Gradient Piezoelectric Beam with Flexoelectric and Surface Effects
YUE Yanmei 1 #,XU Kaiyu 2 *
1.Shanghai Institute of Applied Mathematics and Mechanics,Shanghai University，shanghai, 200444
2.College of Science, Shanghai University,200444
*Correspondence author
#Submitted by
Subject:
Funding: the Doctoral Program of Higher Education of China （No.No.20113108110005)）
Opened online:11 December 2015
Accepted by: none
Citation: YUE Yanmei,XU Kaiyu.Gradient Piezoelectric Beam with Flexoelectric and Surface Effects[OL]. [11 December 2015] http://en.paper.edu.cn/en_releasepaper/content/4666619
 
 
In this paper, a piezoelectric beam model with flexoelectricity and surface effects is proposed. An energy variational principle is postulated to develop the governing equations and boundary conditions. Moreover, the strain gradient coefficient and flexoelectric paprameter are introduced to account for higher order coupling effects of underlying microstructure. Then the bending problem of a cantilever beam is solved to illustrate the theory. It is found that the deflection of the cantilever may depend strongly on the so-introduced gradient-related effects and surface properties. Flexoelectricity can soften the beam stiffness, while strain gradient may enhance the beam striness. And also, the electric field distributions obtained by the models with and without the coupling of strian gradient have a great difference.
Keywords:piezoelectric beam; flexoelectric effect; surface effect;
 
 
 

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