Size-Dependent Analysis of Piezoelectric–Elastic Bilayer Microbeams Based on General Strain Gradient Theory  

作　　者：Kanghui Wu Shenjie Zhou Zhenjie Zhang Juanjuan Li 

机构地区：[1]School of Mechanical Engineering,Shandong University,Jinan,250061,China [2]Key Laboratory of High Efficiency and Clean Mechanical Manufacture,Ministry of Education,Shandong University,Jinan,250061,China

出　　处：《Acta Mechanica Solida Sinica》2024年第4期622-633,共12页固体力学学报（英文版）

基　　金：supported by the National Key Research and Development Program of China(2018YFB0703500).

摘　　要：The classical piezoelectric theory fails to capture the size-dependent electromechanical coupling behaviors of piezoelectric microstructures due to the lack of material length-scale parameters.This study presents the constitutive relations of a piezoelectric material in terms of irreducible transversely isotropic tensors that include material length-scale parameters.Using these relations and the general strain gradient theory,a size-dependent bending model is proposed for a bilayer cantilever microbeam consisting of a transversely isotropic piezoelectric layer and an isotropic elastic layer.Analytical solutions are provided for bilayer cantilever microbeams subjected to force load and voltage load.The proposed model can be simplified to the model incorporating only partial strain gradient effects.This study examines the effect of strain gradient by comparing the normalized electric potentials and deflections of different models.Numerical results show that the proposed model effectively captures size effects in piezoelectric microbeams,whereas simplified models underestimate size effects due to ignoring partial strain gradient effects.

关 键 词：Size dependency Piezoelectric microbeam Size effect Strain gradient effect 

分 类 号：TB34[一般工业技术—材料科学与工程]