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Micromechanical modeling of thin composite and reinforced magnetoelectric plates - Effective elastic, piezoelectric and piezomagnetic coefficients

机译：复合材料薄板和增强磁电板的微机械建模-有效弹性，压电和压磁系数

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摘要

A comprehensive asymptotic homogenization model for the analysis of composite and reinforced magneto-electric plates is developed. The model culminates in a set of unit cell problems via which the relevant expressions for the effective coefficients are derived. The micromechanical and geometrical platform pertinent to the desired model is set up in this paper which also obtains the effective elastic, piezoelectric and piezomagnetic coefficients; the remaining properties, including product properties, are calculated in another work. Examples of structures that can be examined include diagonally- and triangularly-reinforced plates, hexagonal honeycomb sandwich plates and others. The developed model can be used to customize the effective properties of a reinforced plate to the requirements of a particular engineering application by changing some geometric, structural or material parameter of interest. It is shown that in the limiting case of a thin composite plate of uniform thickness whereby electrical conductivity is ignored and all pertinent quantities are time-averaged the presented model converges to the familiar classical plate model. Overall, this paper represents an important addition to the existing literature in terms of the complex geometries that can be designed and analyzed and at the same time constitutes an important refinement over previously published work. (C) 2017 Elsevier Ltd. All rights reserved.
机译：建立了用于复合材料和增强磁电板分析的综合渐近均匀化模型。该模型最终导致了一组晶胞问题，通过该问题可以得出有效系数的相关表达式。建立了与所需模型有关的微机械和几何平台，并获得了有效的弹性，压电和压磁系数。剩余的属性（包括产品属性）在另一项工作中计算。可以检查的结构示例包括对角和三角形加固板，六角形蜂窝夹心板等。通过更改一些感兴趣的几何，结构或材料参数，可以将开发的模型用于根据特定工程应用的要求定制增强板的有效性能。结果表明，在厚度均匀的薄复合板的极限情况下，忽略了导电性，并且对所有相关量进行了时间平均，所提出的模型收敛到了熟悉的经典板模型。总体而言，就可以设计和分析的复杂几何形状而言，本文代表了对现有文献的重要补充，同时构成了对以前发表的工作的重要改进。 （C）2017 Elsevier Ltd.保留所有权利。

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