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首页> 外文期刊>Journal of intelligent material systems and structures >Analytical and semi-analytical modeling of effective moduli bounds: Application to transversely isotropic piezoelectric materials
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Analytical and semi-analytical modeling of effective moduli bounds: Application to transversely isotropic piezoelectric materials

机译：有效模量边界的解析和半解析建模：在横观各向同性压电材料中的应用

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摘要

In this article, analytical and semi-analytical models of upper and lower bounds for the effective moduli of transversely isotropic piezoelectric heterogeneous materials based on the generalized Hashin-Shtrikman variational principle are presented. Compact matrix formulations are used to derive closed-form bound expressions for coupled and uncoupled effective moduli. Analytical models are given for some uncoupled coefficients and simplified formulations for the others. For more narrow bounds, downstream and upstream bounds are developed based on an incremental procedure. Numerical predictions are performed based on the developed methodological approaches, and the obtained results showed the applicability and effectiveness of the proposed models for transversely isotropic elastic and piezoelectric composite materials with ellipsoidal reinforcements of different types and shapes.
机译：本文提出了基于广义Hashin-Shtrikman变分原理的横向各向同性压电异质材料有效模量的上限和下限的解析和半解析模型。紧凑矩阵公式用于导出耦合和解耦有效模量的闭式约束表达式。给出了一些非耦合系数的分析模型，而另一些则简化了公式。对于更窄的界限，基于增量过程来开发下游界限和上游界限。基于已开发的方法学方法进行了数值预测，所得结果表明了所提出的模型对具有不同类型和形状的椭圆形增强物的横观各向同性弹性和压电复合材料模型的适用性和有效性。

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