Mechanics of Time-Dependent Materials

, Volume 13, Issue 2, pp 183–197 | Cite as

Analysis of time-dependent deformation of a CFRP mirror under hot and humid conditions

  • Yoshihiko AraoEmail author
  • Jun Koyanagi
  • Shin Utsunomiya
  • Shin-ichi Takeda
  • Hiroyuki Kawada


The long-term micro-dimensional stability of a carbon fiber reinforced plastic (CFRP) mirror was investigated in terms of creep deformation, moisture swelling and self-shrinkage. A 4-point bending creep test was carried out using specimens made from pitch-based high-modulus CFRP laminates to obtain a creep constant based on linear viscoelasticity, and we then investigated the weight change and geometrical change during a moisture absorption test using a CFRP specimen. The anisotropic diffusivities and coefficients of moisture expansion (CMEs) in CFRP laminates were obtained by fitting analytical data into the experimental data. Finally, the shrinkage behavior caused by physical aging of the polymeric material was examined using a fiber Bragg grating (FBG) sensor embedded in the neat resin specimen. Applying these results, we analyzed the geometrical changes in a CFRP mirror that resulted from time-dependent deformation by the mirror’s weight, moisture absorption and physical aging, respectively. We discuss which factor is dominant in the deformation of CFRP mirrors under various conditions.


Dimensional stability Creep Moisture absorption Physical aging CFRP mirror 


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Copyright information

© Springer Science+Business Media, B. V. 2009

Authors and Affiliations

  • Yoshihiko Arao
    • 1
    Email author
  • Jun Koyanagi
    • 2
  • Shin Utsunomiya
    • 2
  • Shin-ichi Takeda
    • 2
  • Hiroyuki Kawada
    • 3
  1. 1.Graduate School of Waseda UniversityTokyoJapan
  2. 2.Japan Aerospace Exploration AgencyKanagawaJapan
  3. 3.Department of Mechanical EngineeringWaseda UniversityTokyoJapan

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