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Numerical micromechanics model of carbon fiber-reinforced composite using various periodical fiber arrangement

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Abstract

A numerical model of unidirectional carbon fiber-reinforced polymer composite material at the micro-level has been introduced to complement the experiment and analytical model in estimating the elastic properties of composite material. Idealization was performed in the model by using a periodically distributed fiber following square and hexagonal packing arrangement. The determination of the unit cell configuration was made by considering the periodic boundary condition associated with the selected configuration. The idealization using periodic fiber arrangement was proved to adequately estimate the elastic properties of composite material. The hexagonal model was proved to solve the drawbacks of the square model in estimating the shear properties with error reduction up to 50 % in comparison to the square model.

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Abbreviations

a :

The size of the square unit cell

b i :

The size of the hexagonal unit cell in i-direction

δ i :

Displacement in i-direction

E ii :

Composite’s modulus Young in i-direction

ε ij :

Strain component to i-direction on j-surface

F :

Concentrated load

G ij :

Composite’s shear modulus due to the application of shear load to i-direction on j-direction

Y ij :

Shear strain to i-direction on j-surface

V ij :

Composite’s Poisson’s ratio: comparison of strain in i-direction and the strain in j-direction due to the application of normal loading on i-surface

Φ f :

Fiber volume fraction

r :

Fiber radius

σ ij :

Normal stress component to i-direction on j-surface

T ij :

Shear stress component to i-direction on j-surface

i(x, y, z):

Translational displacement of surface (x,y,z) in i-direction

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Acknowledgments

This research has been carried out by the partial support from Ministry of Research, Technology, and Higher Education of the Republic of Indonesia (Penelitian Dasar Unggulan Perguruan Tinggi PDUPT), Royal Academy of Engineering UK (Newton Fund Industry Academia Partnership Program), and Institut Teknologi Bandung (Research, Community Service, and Innovation Program P3MI).

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Authors and Affiliations

  1. Faculty of Mechanical and Aerospace Engineering, Institut Teknologi Bandung, Jl. Ganesha 10, Bandung, 40132, Indonesia

    Khodijah Kholish Rumayshah, Tatacipta Dirgantara, Hermawan Judawisastra & Satrio Wicaksono

Authors
  1. Khodijah Kholish Rumayshah
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  2. Tatacipta Dirgantara
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  3. Hermawan Judawisastra
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  4. Satrio Wicaksono
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Corresponding author

Correspondence to Hermawan Judawisastra.

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Recommended by Editor Chongdu Cho

Khodijah Kholish Rumayshah is a Research Assistant at the Lightweight Structure Research Group, Faculty of Mechanical and Aerospace Engineering, Institut Teknologi Bandung. She received her M.Sc. and B.Sc. from a fast-track program in this faculty. In 2018, she attended a research-based exchange program at the School of Engineering, Tokyo Institute of Technology, Japan.

Tatacipta Dirgantara is a Professor at the Lightweight Structure Research Group and the Dean of Faculty of Mechanical and Aerospace Engineering, Institut Teknologi Bandung. He received his Ph.D. from Queen University of London in 2000. His current research interests are computational mechanics, fracture mechanics, bio mechanics, crashworthiness, and engineering design.

Hermawan Judawisastra is an Associate Professor in the Material Science and Engineering Research Group, Faculty of Mechanical and Aerospace Engineering, Institut Teknologi Bandung. He received his Ph.D. from KU Leuven Belgium in 2002. His current research interests are material science and engineering, FRP technology, bio-based fiber, and biomaterials.

Satrio Wicaksono is an Assistant Professor in the Mechanical Design Research Group, Faculty of Mechanical and Aerospace Engineering, Institut Teknologi Bandung. He received his Ph.D. from Nanyang Technological University, Singapore. His current research interests are composite structures, vehicle crash-worthiness, dental biomechanics, and digital image correlation.

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Rumayshah, K.K., Dirgantara, T., Judawisastra, H. et al. Numerical micromechanics model of carbon fiber-reinforced composite using various periodical fiber arrangement. J Mech Sci Technol 35, 1401–1406 (2021). https://doi.org/10.1007/s12206-021-0306-9

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  • DOI: https://doi.org/10.1007/s12206-021-0306-9

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