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Computation of effective piezoelectric properties of stratified composites and application to wave propagation analysis
ZAMM - Journal of Applied Mathematics and Mechanics ( IF 2.3 ) Pub Date : 2020-01-29 , DOI: 10.1002/zamm.201900251 Hilal Reda 1 , Nikos Karathanasopoulos 2 , Gérard Maurice 3 , Jean François Ganghoffer 3 , Hassan Lakiss 1
ZAMM - Journal of Applied Mathematics and Mechanics ( IF 2.3 ) Pub Date : 2020-01-29 , DOI: 10.1002/zamm.201900251 Hilal Reda 1 , Nikos Karathanasopoulos 2 , Gérard Maurice 3 , Jean François Ganghoffer 3 , Hassan Lakiss 1
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A methodology for the computation of the homogenized response of stratified piezoelectric materials is proposed. The stratified composite consists of the periodic repetition of piezoelectric layers. Its effective piezoelectric properties are obtained through a homogenization approach based on the method of oscillating functions. The method can fully consider not only the elastic attributes, but also the polarizations of the materials contained within the structure's layers. As such, it proves able to obtain the homogenized electromechanical response of the stratified piezoelectric structure in the form of parametric, closed‐form expressions, which depend on the material attributes of the layers building up the repetitive unit‐cell. The applicability of the method is demonstrated for the quasi‐electrostatic wave propagation analysis of stratified composites using the nonlocal piezoelectric (NLPE) theory. A two‐layer stratified composite is employed, created as an assembly of LiNbO3 and PVDF layers. The structure's homogenized properties are used to compute the wave propagation characteristics with and without the influence of internal length parameters of the NLPE theory. The obtained results suggest that the effective properties of the stratified composite can be handily used to compute the effect of the electric field on the longitudinal and shear modes for the propagation direction of interest.
中文翻译：
层状复合材料有效压电性能的计算及其在波传播分析中的应用
提出了分层压电材料均质响应的计算方法。分层的复合材料由压电层的周期性重复组成。它的有效压电特性是通过基于振荡函数方法的均质化方法获得的。该方法不仅可以充分考虑弹性属性，而且可以充分考虑结构层中包含的材料的极化。因此，它证明能够以参数化，闭式表达式的形式获得分层压电结构的均质机电响应，这取决于构成重复单元的层的材料属性。使用非局部压电（NLPE）理论证明了该方法在分层复合材料的准静电波传播分析中的适用性。使用两层分层复合材料，以LiNbO的组合体形式创建3和PVDF层。在有或没有NLPE理论的内部长度参数影响的情况下，该结构的均质特性可用于计算波传播特性。获得的结果表明，分层复合材料的有效特性可以方便地用于计算电场对目标传播方向的纵向和剪切模态的影响。
更新日期：2020-01-29
中文翻译：
层状复合材料有效压电性能的计算及其在波传播分析中的应用
提出了分层压电材料均质响应的计算方法。分层的复合材料由压电层的周期性重复组成。它的有效压电特性是通过基于振荡函数方法的均质化方法获得的。该方法不仅可以充分考虑弹性属性，而且可以充分考虑结构层中包含的材料的极化。因此，它证明能够以参数化，闭式表达式的形式获得分层压电结构的均质机电响应，这取决于构成重复单元的层的材料属性。使用非局部压电（NLPE）理论证明了该方法在分层复合材料的准静电波传播分析中的适用性。使用两层分层复合材料，以LiNbO的组合体形式创建3和PVDF层。在有或没有NLPE理论的内部长度参数影响的情况下，该结构的均质特性可用于计算波传播特性。获得的结果表明，分层复合材料的有效特性可以方便地用于计算电场对目标传播方向的纵向和剪切模态的影响。
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