, Volume 21, Issue 3, pp 1135–1141 | Cite as

Multiscale modeling of the elastic properties of natural fibers based on a generalized method of cells and laminate analogy approach



In this article, a new method based on a generalized method of cells and laminate analogy approach was used to predict the elastic properties of natural fibers. The elastic properties of cellulose crystals and amorphous cellulose were adopted to calculate the effective properties of microfibrils. A ten-layer antisymmetrical laminated structure was used to predict the effective properties of cell walls. The effects of the aspect ratio and volume fraction of cellulose crystal, the microfibril angle in the S2 layer and the lumen ratio of fiber on the axial Young’s moduli of natural fibers were analyzed in detail. The results show that the predicted properties of fibers are those of the cell fibers, and the final elastic properties of natural fibers can be obtained with the volume fractions of cell fibers as the corresponding conversion coefficients. The multiscale method is very effective in the predictions of the axial Young’s moduli of natural fibers.


Natural fibers Multiscale Prediction Elastic properties Generalized method of cells 



The authors are grateful to the National Natural Science Foundation of China (no. 31300475) and Natural Science Foundation of Hebei Province (no. E2012208027) for the financial supports.


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Copyright information

© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  • Zhanying Sun
    • 1
  • Xiongyan Zhao
    • 1
  • Xin Wang
    • 1
  • Jinsong Ma
    • 1
  1. 1.College of Material Science and EngineeringHebei University of Science and TechnologyShijiazhuangChina

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