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基于渐近均匀化的碳纤维增强复合材料多尺度研究及其在复合压力容器力学分析中的应用

A Multiscale Study of CFRP Based on Asymptotic Homogenization with Application to Mechanical Analysis of Composite Pressure Vessels.

作者信息

Zhang Nan, Gao Shuai, Song Meili, Chen Yang, Zhao Xiaodong, Liang Jianguo, Feng Jun

机构信息

School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing 210094, China.

College of Mechanical and Vehicle Engineering, Taiyuan University of Technology, Taiyuan 030024, China.

出版信息

Polymers (Basel). 2022 Jul 11;14(14):2817. doi: 10.3390/polym14142817.

Abstract

The application of composites is increasingly extensive due to their advanced properties while the analysis still remains complex on different scales. In this article, carbon fiber reinforced polymer (CFRP) is modeled via asymptotic homogenization employing a representative volume element (RVE) with periodic boundary conditions. A multiscale mechanical model of CFRP is established to bridge the microscopic model, mesoscopic model, and macroscopic model. According to asymptotic homogenization, the coefficients of the material constitutive equation are calculated with volume-averaged stress and strain. Using the homogenized materials properties of CFRP, the tensile experiments of composite layers with the layout of [(0∘/60∘/0∘/-60∘)4] are carried out to validate asymptotic homogenization method. The results indicated that the asymptotic homogenization approach can be used to calculate the homogenized elastic moduli and Poisson's ratio of the whole structure, where the numerical results are basically consistent with test data. The sequent homogenized CFRP laminate model is applied to the mechanical analysis of type III composite pressure vessels, whereby burst pressure is accurately predicted. This work might shed some light on multiscale analysis of composite pressure vessels.

摘要

由于复合材料具有先进的性能,其应用越来越广泛,而在不同尺度上的分析仍然很复杂。在本文中,通过采用具有周期性边界条件的代表性体积单元(RVE)的渐近均匀化方法对碳纤维增强聚合物(CFRP)进行建模。建立了CFRP的多尺度力学模型,以连接微观模型、细观模型和宏观模型。根据渐近均匀化方法,利用体积平均应力和应变计算材料本构方程的系数。利用CFRP的均匀化材料性能,对[(0°/60°/0°/-60°)4]铺层的复合材料层进行拉伸试验,以验证渐近均匀化方法。结果表明,渐近均匀化方法可用于计算整个结构的均匀化弹性模量和泊松比,数值结果与试验数据基本一致。随后将均匀化的CFRP层合板模型应用于III型复合材料压力容器的力学分析,从而准确预测爆破压力。这项工作可能为复合材料压力容器的多尺度分析提供一些启示。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/63e9/9316031/3c5febeb009a/polymers-14-02817-g001.jpg

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