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Modeling of geometric configuration and fiber interactions in short fiber reinforced composites via new modified Eshelby tensors and enhanced mean-field homogenization

Ehsan Rashidinejad (UGent) , Hossein Ahmadi (UGent) , Mohammad Hajikazemi (UGent) and Wim Van Paepegem (UGent)
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Abstract
Determination of the effective elastic properties of unidirectional short fiber reinforced composites (SFRCs) is a key fundamental requirement which is usually estimated by mean-field homogenization (MFH) methods. Available classical MFH methods only account for volume fraction and aspect ratio of the fibers and do not consider the physical cylindrical geometry of the fibers. Moreover, classical MFHs are not designed for predicting the effective properties of SFRCs with distinct packing configurations and order of fibers. In this work, new modified Eshelby tensors associated with an enhanced MFH are developed which resolve the mentioned limi-tations of the available MFH methods and preserve their computational efficiency. While classical Eshelby tensors used in MFHs depend only on the aspect ratio of the fictitious ellipsoidal inclusion and material prop-erties of the matrix, the introduced modified Eshelby tensors additionally account for physical cylindrical ge-ometry as well as interactions of the short fibers with different packing configurations. Moreover, non-uniform homogenizing eigenstrains required for accurate homogenization of the short fibers are also incorporated by the proposed analytical treatment. Predictions of the developed enhanced MFH for various packing configurations are compared with those obtained from Finite Element Method implementing periodic boundary conditions and very good agreements are observed. It is shown that packing configuration and geometrical specifications of short fibers can significantly affect the effective properties of the SFRC.
Keywords
Mechanics of Materials, General Materials Science, Instrumentation, Short fiber reinforced composites, Modified Eshelby tensors, Enhanced mean-field homogenization, Effective elastic properties, Analytical modelling, Finite element analysis, STIFFNESS, DAMAGE, INCLUSIONS, BEHAVIOR, TENSILE, MATRIX, MODULI

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MLA
Rashidinejad, Ehsan, et al. “Modeling of Geometric Configuration and Fiber Interactions in Short Fiber Reinforced Composites via New Modified Eshelby Tensors and Enhanced Mean-Field Homogenization.” MECHANICS OF MATERIALS, vol. 162, 2021, doi:10.1016/j.mechmat.2021.104059.
APA
Rashidinejad, E., Ahmadi, H., Hajikazemi, M., & Van Paepegem, W. (2021). Modeling of geometric configuration and fiber interactions in short fiber reinforced composites via new modified Eshelby tensors and enhanced mean-field homogenization. MECHANICS OF MATERIALS, 162. https://doi.org/10.1016/j.mechmat.2021.104059
Chicago author-date
Rashidinejad, Ehsan, Hossein Ahmadi, Mohammad Hajikazemi, and Wim Van Paepegem. 2021. “Modeling of Geometric Configuration and Fiber Interactions in Short Fiber Reinforced Composites via New Modified Eshelby Tensors and Enhanced Mean-Field Homogenization.” MECHANICS OF MATERIALS 162. https://doi.org/10.1016/j.mechmat.2021.104059.
Chicago author-date (all authors)
Rashidinejad, Ehsan, Hossein Ahmadi, Mohammad Hajikazemi, and Wim Van Paepegem. 2021. “Modeling of Geometric Configuration and Fiber Interactions in Short Fiber Reinforced Composites via New Modified Eshelby Tensors and Enhanced Mean-Field Homogenization.” MECHANICS OF MATERIALS 162. doi:10.1016/j.mechmat.2021.104059.
Vancouver
1.
Rashidinejad E, Ahmadi H, Hajikazemi M, Van Paepegem W. Modeling of geometric configuration and fiber interactions in short fiber reinforced composites via new modified Eshelby tensors and enhanced mean-field homogenization. MECHANICS OF MATERIALS. 2021;162.
IEEE
[1]
E. Rashidinejad, H. Ahmadi, M. Hajikazemi, and W. Van Paepegem, “Modeling of geometric configuration and fiber interactions in short fiber reinforced composites via new modified Eshelby tensors and enhanced mean-field homogenization,” MECHANICS OF MATERIALS, vol. 162, 2021.
@article{8743549,
  abstract     = {{Determination of the effective elastic properties of unidirectional short fiber reinforced composites (SFRCs) is a key fundamental requirement which is usually estimated by mean-field homogenization (MFH) methods. Available classical MFH methods only account for volume fraction and aspect ratio of the fibers and do not consider the physical cylindrical geometry of the fibers. Moreover, classical MFHs are not designed for predicting the effective properties of SFRCs with distinct packing configurations and order of fibers. In this work, new modified Eshelby tensors associated with an enhanced MFH are developed which resolve the mentioned limi-tations of the available MFH methods and preserve their computational efficiency. While classical Eshelby tensors used in MFHs depend only on the aspect ratio of the fictitious ellipsoidal inclusion and material prop-erties of the matrix, the introduced modified Eshelby tensors additionally account for physical cylindrical ge-ometry as well as interactions of the short fibers with different packing configurations. Moreover, non-uniform homogenizing eigenstrains required for accurate homogenization of the short fibers are also incorporated by the proposed analytical treatment. Predictions of the developed enhanced MFH for various packing configurations are compared with those obtained from Finite Element Method implementing periodic boundary conditions and very good agreements are observed. It is shown that packing configuration and geometrical specifications of short fibers can significantly affect the effective properties of the SFRC.}},
  articleno    = {{104059}},
  author       = {{Rashidinejad, Ehsan and Ahmadi, Hossein and Hajikazemi, Mohammad and Van Paepegem, Wim}},
  issn         = {{0167-6636}},
  journal      = {{MECHANICS OF MATERIALS}},
  keywords     = {{Mechanics of Materials,General Materials Science,Instrumentation,Short fiber reinforced composites,Modified Eshelby tensors,Enhanced mean-field homogenization,Effective elastic properties,Analytical modelling,Finite element analysis,STIFFNESS,DAMAGE,INCLUSIONS,BEHAVIOR,TENSILE,MATRIX,MODULI}},
  language     = {{eng}},
  pages        = {{15}},
  title        = {{Modeling of geometric configuration and fiber interactions in short fiber reinforced composites via new modified Eshelby tensors and enhanced mean-field homogenization}},
  url          = {{http://dx.doi.org/10.1016/j.mechmat.2021.104059}},
  volume       = {{162}},
  year         = {{2021}},
}

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