A Novel Algorithm in Stochastic Chopped Carbon Fiber Composite Structure-A Study of RVE Size Effect and Homogenization Response of Directional Modulus

Low volume fraction (~ 3%) chopped fiber reinforced resin matrix composites have both structural toughness and strength. In this work, bisphenol F epoxy resin was used as the matrix, which has low viscosity and high strength, so it is not easy to make fiber agglomeration. The aim of this study is to...

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Vydané v:Applied composite materials Ročník 29; číslo 2; s. 565 - 595
Hlavní autori: Liu, Jin, Fu, Yuan, Chen, Yun, Jiang, Jiang, Zhang, You Liang, Xu, Yin, Lin, Shang
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Dordrecht Springer Netherlands 01.04.2022
Springer Nature B.V
Predmet:
Algorithms
Carbon fibers
Characterization and Evaluation of Materials
Chemistry and Materials Science
Classical Mechanics
Composite structures
Epoxy resins
Fiber composites
Fiber reinforced polymers
Fields (mathematics)
Finite element method
Homogenization
Industrial Chemistry/Chemical Engineering
Materials Science
Mathematical analysis
Polymer Sciences
Resin matrix composites
Size effects
Stochastic processes
Homogenization method
Directional modulus
Chopped carbon fiber
Stress influence zone
Space Direction-sensitive Hotelling expansion
ISSN:0929-189X, 1573-4897
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Shrnutí:Low volume fraction (~ 3%) chopped fiber reinforced resin matrix composites have both structural toughness and strength. In this work, bisphenol F epoxy resin was used as the matrix, which has low viscosity and high strength, so it is not easy to make fiber agglomeration. The aim of this study is to explore the size effect and the response of directional modulus to the dispersion angle in the homogenization process with low volume fraction (~ 1.24%) chopped fiber reinforced resin based RVE structure. In this work, a novel mesoscale chopped fiber filled resin matrix random field algorithm named spatial direction sensitive Hotelling expansion (SDSHE) is proposed to study the change of composite properties caused by the random distribution of chopped carbon fiber (CCF) unit cells (UCs) in the representative volume element (RVE) structure. Meanwhile, several influencing factors to the size effect in these RVEs structure are also studied. A post-processing scheme of subdomain in RVE structure based on Gauss theorem is proposed for the first time. Namely, the volume integral of the continuously differentiable vector field (displacement, force, et al.) in the subdomain calculated by finite element method is extracted, which is used to calculate the average strain and stress in three-dimensional structure. The results shows that the SDHSE algorithm matches well with low volume fraction chopped carbon fiber reinforced composites, and based on the generated RVEs, the decay length t is 0-21 μm, the average directive modulus also appear respective sensitivities with rotation angles.
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ISSN:0929-189X
1573-4897
DOI:10.1007/s10443-021-09947-2