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説明:

The elastic modulus measured by indentation of carbon fibers with various anisotropic elasticity is calculated by two numerical approaches, the Vlassak-Nix model and finite element analysis, to reveal the acceptable calculation condition for highly anisotropic materials. Five commercially available carbon fibers that varied in anisotropy index in the range of 0.5 to 7.9 are used (either polyacrylonitrile- or pitch-based). The numerical error in the calculated modulus increases with the decrease in fiber angle and with the increase in the anisotropy index under the same mesh condition, indicating finer mesh is required for a highly anisotropic material. The acceptable mesh size linearly increases with anisotropic index. The Vlassak-Nix model overestimates the elastic modulus at a small tilt angle if few integration subintervals are used. Conversely, finite element analysis of the Hertz contact problem with coarse mesh underestimates the modulus at a small tilt angle, and a maximum modulus is observed when the fiber is tilted a few degrees against the indentation axis. These findings are expected to assist the future determination of ideal calculation conditions for materials with large anisotropic elasticity including fibers and composites.

権利情報:

• Creative Commons BY Attribution 4.0 International
  

  Creative Commons BY Attribution 4.0 International

キーワード: indentation, anisotropic elasticity, Vlassak–Nix model, finite element method, numerical integration

刊行年月日: 2022-10-04

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掲載誌:

• SN Applied Sciences (ISSN: 25233963) vol. 4 issue. 11 p. 291-291

研究助成金:

原稿種別: 出版者版 (Version of record)

MDR DOI:

公開URL: https://doi.org/10.1007/s42452-022-05183-w

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更新時刻: 2024-01-05 22:12:00 +0900

MDRでの公開時刻: 2023-02-28 11:03:51 +0900