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

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

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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 piezo-electric 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.

Size dependencyPiezoelectric microbeamSize effectStrain gradient effect

Kanghui Wu、Shenjie Zhou、Zhenjie Zhang、Juanjuan Li

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School of Mechanical Engineering,Shandong University,Jinan 250061,China

Key Laboratory of High Efficiency and Clean Mechanical Manufacture,Ministry of Education,Shandong University,Jinan,250061,China

National Key Research and Development Program of China

2018 YFB0703500

2024

固体力学学报(英文版)
中国力学学会

固体力学学报(英文版)

EI
影响因子:0.214
ISSN:0894-9166
年,卷(期):2024.37(4)