Analytical solutions for bending of piezoelectric micro-beam sensors under surface stress effects

IF 2.3 3区工程技术 Q2 MECHANICS

Acta Mechanica Pub Date : 2024-12-21 DOI:10.1007/s00707-024-04183-8

Xulong Peng, Jinbao Li, Bei Chen, Jin Wu, Zhebin Pan, Bing Zhao, Wei Li

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引用次数: 0

Abstract

Piezoelectric sensors have been extensively utilized for the specific identification of biomolecules and the detection of chemical toxins. The optimization of piezoelectric micro-beam sensor design is crucial for applications in medical and environmental protection. This study analytically addresses the bending of piezoelectric micro-beams under surface stress by reformulating it as a plane stress problem within the framework of elasticity. A polynomial solution for stress and electric displacement is derived using the semi-inverse method for both cantilever and simply supported micro-beams. The numerical results concerning the components of stress, deflection, and electric potential are thoroughly discussed. Additionally, the influence of material parameters on the stresses, deflection, and electric potential of the piezoelectric micro-beams is examined in case of three kinds of common piezoelectric materials, thereby validating the plane-section assumption of material mechanics. The study provides theoretical guidance for the design and optimization of piezoelectric micro-beam sensors.

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来源期刊

Acta Mechanica 物理-力学

CiteScore

4.30

自引率

14.80%

发文量

292

审稿时长

6.9 months

期刊介绍： Since 1965, the international journal Acta Mechanica has been among the leading journals in the field of theoretical and applied mechanics. In addition to the classical fields such as elasticity, plasticity, vibrations, rigid body dynamics, hydrodynamics, and gasdynamics, it also gives special attention to recently developed areas such as non-Newtonian fluid dynamics, micro/nano mechanics, smart materials and structures, and issues at the interface of mechanics and materials. The journal further publishes papers in such related fields as rheology, thermodynamics, and electromagnetic interactions with fluids and solids. In addition, articles in applied mathematics dealing with significant mechanics problems are also welcome.