# Numerical calculation and finite element analysis for anisotropic elastic properties of carbon fibers: Dependence of integration subinterval and mesh size on indentation-derived elastic modulus

https://mdr.nims.go.jp/datasets/463e0138-f10d-4618-9589-87f7271c872a

## File

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## Id

463e0138-f10d-4618-9589-87f7271c872a

## Local identifier



## Visibility

open_to_public

## State

published

## Created at

2023-02-22T06:02:25.326318Z

## Updated at

2024-01-05T13:12:00.417384Z

## Published at

2023-02-28T02:03:51.584939Z

## Doi



## First published url

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

## Date published

2022-10-04

## Recorded date published

2022-11

## Resource type

journal_article

## Manuscript type

vor

## Collection



## Title

- title: 'Numerical calculation and finite element analysis for anisotropic elastic
    properties of carbon fibers: Dependence of integration subinterval and mesh size
    on indentation-derived elastic modulus'
  title_type: original
  lang: en

## Description

- description: 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.
  description_type: abstract
  lang: eng

## Creator

- name: Kenta Goto
  role: author
  orcid: https://orcid.org/0000-0002-0102-0658
  organization: National Institute for Materials Science
  ror: https://ror.org/026v1ze26
- name: Kimiyoshi Naito
  role: author
  orcid: https://orcid.org/0000-0002-3334-4876
  organization: National Institute for Materials Science
  ror: https://ror.org/026v1ze26
- name: Keiichi Shirasu
  role: author
  organization: National Institute for Materials Science
  ror: https://ror.org/026v1ze26
- name: Ikumu Watanabe
  role: author
  orcid: https://orcid.org/0000-0002-7693-1675
  organization: National Institute for Materials Science
  ror: https://ror.org/026v1ze26

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## Keyword

- subject: indentation
  schema: not_defined
- subject: anisotropic elasticity
  schema: not_defined
- subject: Vlassak–Nix model
  schema: not_defined
- subject: finite element method
  schema: not_defined
- subject: numerical integration
  schema: not_defined

## Rights

- description: Creative Commons BY Attribution 4.0 International
  identifier: https://creativecommons.org/licenses/by/4.0/

## Other identifier(s)



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## Embargo



## Journal

- title: SN Applied Sciences
  issn: '25233963'
  volume: '4'
  issue: '11'
  start_page: 291
  end_page: 291

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## Fileset

- id: 98d36078-34b3-487a-8358-2669566d151c
  filename: goto_SNAS2022.pdf
  content_type: application/pdf
  size: 5749701
  md5: fda23b6444c710a04446da4fdadc988f

## Thumbnail

fileset_id: 98d36078-34b3-487a-8358-2669566d151c
filename: goto_SNAS2022.pdf