TY - JOUR
T1 - An asymptotic homogenization model for evaluating the mechanical properties of random fiber reinforced composites with high volume fraction
AU - Chao, Xujiang
AU - Hu, Haoteng
AU - Qi, Lehua
AU - Yang, Cheng
AU - Tian, Wenlong
AU - Shou, Dahua
N1 - Funding Information:
The authors acknowledge the financial supported from the National Nature Science Foundation of China (Grant Number: 51972271 , 52231004 ), and the Fundamental Research Funds for the Central Universities (No. D5000220523 ).
Publisher Copyright:
© 2023 Elsevier Ltd
PY - 2023/6
Y1 - 2023/6
N2 - In this study, we propose an asymptotic homogenization strategy based on local-global RVEs to predict the elastic properties of random fiber reinforced composites (RFCs) with high fiber volume fraction (HFVF). During the calculation, RFCs were divided into a set of local pseudo units with various material properties determined by its spatial orientation of the short fibers. The macroscopic mechanical properties of the RFCs with HFVF were asymptotically determined by integrating transformation matrices, periodic boundary conditions, and numerical homogenization method. The results show that the proposed models were in good agreement with the experimental tests of short fiber reinforced magnesium matrix (Cfs/Mg) composites. When the length ratio of the RVE to the local pseudo L/Ls was >10, the overall orientation of the fibers tended to be completely random, and the results gradually converged. With an increase in the fiber volume fraction, the effective elastic properties of the Cfs/Mg composites grew linearly. Additionally, the proposed asymptotic homogenization framework can also be extended to evaluate other macroscopic physical properties of RFCs such as thermal and electric conductivities.
AB - In this study, we propose an asymptotic homogenization strategy based on local-global RVEs to predict the elastic properties of random fiber reinforced composites (RFCs) with high fiber volume fraction (HFVF). During the calculation, RFCs were divided into a set of local pseudo units with various material properties determined by its spatial orientation of the short fibers. The macroscopic mechanical properties of the RFCs with HFVF were asymptotically determined by integrating transformation matrices, periodic boundary conditions, and numerical homogenization method. The results show that the proposed models were in good agreement with the experimental tests of short fiber reinforced magnesium matrix (Cfs/Mg) composites. When the length ratio of the RVE to the local pseudo L/Ls was >10, the overall orientation of the fibers tended to be completely random, and the results gradually converged. With an increase in the fiber volume fraction, the effective elastic properties of the Cfs/Mg composites grew linearly. Additionally, the proposed asymptotic homogenization framework can also be extended to evaluate other macroscopic physical properties of RFCs such as thermal and electric conductivities.
KW - Asymptotic homogenization method
KW - High fiber volume fraction
KW - Representative volume element
KW - Short fiber composites
UR - http://www.scopus.com/inward/record.url?scp=85161262132&partnerID=8YFLogxK
U2 - 10.1016/j.coco.2023.101633
DO - 10.1016/j.coco.2023.101633
M3 - Journal article
AN - SCOPUS:85161262132
SN - 2452-2139
VL - 40
JO - Composites Communications
JF - Composites Communications
M1 - 101633
ER -