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基于有限元法的聚合物纤维复合材料弹性常数估算

Elastic Constants of Polymeric Fiber Composite Estimation Using Finite Element Method.

作者信息

Itu Calin, Scutaru Maria Luminita, Vlase Sorin

机构信息

Department of Mechanical Engineering, Faculty of Mechanical Engineering, Transylvania University of Brasov, B-dul Eroilor 29, 500036 Brasov, Romania.

Technical Sciences Academy of Romania, B-dul Dacia 26, 030167 Bucharest, Romania.

出版信息

Polymers (Basel). 2024 Jan 28;16(3):354. doi: 10.3390/polym16030354.

DOI:10.3390/polym16030354
PMID:38337243
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC10856909/
Abstract

Determining the properties of composite materials (knowing the properties of the component phases) is a primary objective in the design phase. Numerous methods have been developed to determine the elastic constants of a composite material. All these methods are laborious and require significant computing time. It is possible to make experimental measurements, but these too are expensive and time-consuming. In order to have a quick estimate of the value of the engineering constants of a new composite material (in our study a polymeric matrix reinforced with carbon fibers), this paper proposes a quick method for determining the homogenized material constants, using the finite element method (FEM). For this, the eigenfrequencies of a beam specimen manufactured by the studied composite material will be computed using FEM. The model will consider both phases of the composite, with the geometry and real size. The mechanical properties of the constituent's material phases are known. With the help of this model, the torsional, longitudinal and transverse vibrations of the beam are studied. Based on the eigenvalues obtained by this calculation, it now is possible to quickly estimate the values of homogenized material constants required in the design. An example for a fiber-reinforced polymer composite material is provided in the paper.

摘要

确定复合材料的性能(了解各组成相的性能)是设计阶段的主要目标。已经开发出许多方法来确定复合材料的弹性常数。所有这些方法都很繁琐,并且需要大量的计算时间。进行实验测量是可行的,但这些测量同样昂贵且耗时。为了快速估算新型复合材料(在我们的研究中是碳纤维增强聚合物基体)的工程常数,本文提出了一种使用有限元法(FEM)确定均匀化材料常数的快速方法。为此,将使用有限元法计算由所研究的复合材料制造的梁试件的固有频率。该模型将考虑复合材料的两个相,包括几何形状和实际尺寸。组成材料相的力学性能是已知的。借助该模型,研究梁的扭转、纵向和横向振动。基于通过该计算获得的特征值,现在可以快速估算设计中所需的均匀化材料常数的值。本文提供了一种纤维增强聚合物复合材料的示例。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5b38/10856909/8f014360fc58/polymers-16-00354-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5b38/10856909/26c8ad9c6ea0/polymers-16-00354-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5b38/10856909/8f014360fc58/polymers-16-00354-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5b38/10856909/26c8ad9c6ea0/polymers-16-00354-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5b38/10856909/8f014360fc58/polymers-16-00354-g002.jpg

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本文引用的文献

1
Modeling Study of the Creep Behavior of Carbon-Fiber-Reinforced Composites: A Review.碳纤维增强复合材料蠕变行为的建模研究综述
Polymers (Basel). 2022 Dec 30;15(1):194. doi: 10.3390/polym15010194.
2
Finite Element Method-Based Simulation Creep Behavior of Viscoelastic Carbon-Fiber Composite.基于有限元法的粘弹性碳纤维复合材料蠕变行为模拟
Polymers (Basel). 2021 Mar 25;13(7):1017. doi: 10.3390/polym13071017.
3
Creep Response of Carbon-Fiber-Reinforced Composite Using Homogenization Method.采用均匀化方法的碳纤维增强复合材料的蠕变响应
Polymers (Basel). 2021 Mar 11;13(6):867. doi: 10.3390/polym13060867.