Strain gradient and electric field gradient effects in piezoelectric cantilever beams

Journal of the Mechanical Behavior of Materials

Aifantis Elias C.¹  Xu Kaiyu²  Yue Yanmei² 

[1] ;Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai University, Shanghai 200072, China;

关键词: cantilever beam;    electric field gradient;    electromechanical coupling;    strain gradient;    variational principle;   

DOI  :  10.1515/jmbm-2015-0014

来源: DOAJ

【 摘 要 】

A piezoelectric beam model with strain gradient and electric gradient effects is proposed. An energy variational principle with strain, strain gradient, electric field, and electric field gradient considered as independent variables is postulated to develop the governing equations and boundary conditions. Moreover, two strain gradient coefficients and one electric field gradient coefficient 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 effects. As a result of the electromechanical coupling, the generated electric field may also be affected by the strain gradient. However, electric field gradient has a limited effect on the electric field.

【 授权许可】

Unknown