Mechanic-electro coupling overlapping finite element method for piezoelectric structures

IF 2.2 3区工程技术 Q2 MECHANICS Archive of Applied Mechanics Pub Date : 2024-08-23 DOI:10.1007/s00419-024-02677-4

Liming Zhou, Yanzhe Wang, Yingbin Chai

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Abstract

The mechanic-electro coupling overlapping finite element method (OFEM) is proposed to improve the accuracy in solving the mechanical characteristics of piezoelectric structures. Based on the basic equations and boundary conditions of piezoelectric materials, overlapping triangle elements are used to discretize the solution domain of piezoelectric structures, and the displacement function and potential function of the mechanic-electro coupling OFEM are constructed through local interpolation. The control equation of the mechanic-electro coupling OFEM is derived using the variation principle. The accuracy and validity of this method are verified by comparing with the reference solution and analytical solution in patch test and piezoelectric patch bending test. The static characteristics of the cantilever-typed piezoelectric sensor model, the rectangular plate with one-sided piezoelectric patch configuration, and the hole-containing piezoelectric energy harvester model are analyzed. The mechanic-electro coupling OFEM has high engineering value and broad application prospects in analyzing the structural mechanical properties of intelligent piezoelectric components.

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压电结构的机电耦合重叠有限元法

为提高压电结构力学特性的求解精度，提出了机电耦合重叠有限元法（OFEM）。基于压电材料的基本方程和边界条件，采用重叠三角形元素对压电结构的求解域进行离散，并通过局部插值构建机电耦合 OFEM 的位移函数和势函数。利用变分原理导出了机电耦合 OFEM 的控制方程。通过在贴片测试和压电贴片弯曲测试中与参考解和分析解的比较，验证了该方法的准确性和有效性。分析了悬臂式压电传感器模型、带单面压电贴片结构的矩形板以及含孔压电能量收集器模型的静态特性。机电耦合 OFEM 在分析智能压电元件的结构力学特性方面具有很高的工程价值和广阔的应用前景。

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来源期刊

Archive of Applied Mechanics 物理-力学

CiteScore

4.40

自引率

10.70%

发文量

234

审稿时长

4-8 weeks

期刊介绍： Archive of Applied Mechanics serves as a platform to communicate original research of scholarly value in all branches of theoretical and applied mechanics, i.e., in solid and fluid mechanics, dynamics and vibrations. It focuses on continuum mechanics in general, structural mechanics, biomechanics, micro- and nano-mechanics as well as hydrodynamics. In particular, the following topics are emphasised: thermodynamics of materials, material modeling, multi-physics, mechanical properties of materials, homogenisation, phase transitions, fracture and damage mechanics, vibration, wave propagation experimental mechanics as well as machine learning techniques in the context of applied mechanics.