Predicting effective moduli of a Z-reinforced core with cavities using a novel theoretical approach and a micromechanics finite element method
Predicting effective moduli of a Z-reinforced core with cavities using a novel theoretical approach and a micromechanics finite element method
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使用新颖的理论方法和微力学有限元方法预测带空腔的 Z 形增强芯材的有效模量
DOI：
10.1016/j.ijmecsci.2019.105085
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发表时间：
2019-10
影响因子：
7.3
通讯作者：
Chen Meixia
中科院分区：
文献类型：
--
作者：
Zhou Zhiwei;Chen Meixia
本文介绍了一种带空腔的 Z 形增强夹层结构，作为现代水声隐身结构的一种有前途的结构形式。为了从理论上预测其芯层（称为带空腔的 Z 型增强芯）的有效模量，通过应用多级均质化模型提出了一种新方法，其中复合芯相当于正交各向异性材料。通过Mori-Tanaka公式，基于两个假设来预测复杂复合材料芯的解析有效模量：（a）假设空腔为具有弱模量的各向同性材料； (b) 假设第二级均质化中的埃谢尔比张量等于第一级均质化中的埃谢尔比张量。同时，建立了带空腔的Z向增强芯材的代表性体积单元（RVE），并通过微力学有限元法（FEM）计算了数值有效模量。进行了几个数值示例来验证所提出方法的能力。所得结果相互吻合，也与现有的实验数据吻合良好。还讨论了空腔和增强体的体积分数对复合材料芯材有效模量的影响。此外，还对带空腔的Z型增强夹层结构进行了弯曲变形和自由振动分析。
In this paper, a Z-reinforced sandwich structure with cavities is introduced as a promising structural form for modern underwater acoustic stealth structures. To theoretically predict effective moduli of its core layer, called Z-reinforced core with cavities, a novel approach is proposed by applying a multi-level homogenization model in which the composite core is equivalent to an orthotropic material. Via Mori–Tanaka formula, analytic effective moduli of the complex composite core are predicted based on two assumptions: (a) the cavity is assumed as an isotropic material with a weak modulus; (b) the Eshelby tensor in the second-level homogenization is assumed to be equal to the one in the first-level. Meanwhile, a representative volume element (RVE) for the Z-reinforced core with cavities is built and numerical effective moduli are calculated by the micromechanics finite element method (FEM). Several numerical examples are carried out to verify the competencies of the proposed approaches. The obtained results agree well with each other and also with available experimental data. Effects of volume fractions of cavities and reinforcements on effective moduli of the composite core are also discussed. Furthermore, some bending deformation and free vibration analyses for the Z-reinforced sandwich structure with cavities are conducted.
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通讯作者：
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