Wood Science and Technology

, Volume 52, Issue 3, pp 809–820 | Cite as

Reaction kinetics approach in relation to the fatigue life of wood

  • Yasutoshi Sasaki
  • Ayaka Oya
  • Hideaki Nomura
  • Mariko Yamasaki
Original
  • 32 Downloads

Abstract

To evaluate the mechanical durability of wood, it is necessary to evaluate the phenomenon of fatigue progress with respect to the cumulative load process over time. Fatigue life estimation by reaction kinetics along with energetics in fatigue strength analysis is proposed based on previous studies. In this regard, based on the reaction kinetics proposed by Eyring, Liu and co-workers derived the reaction rate model for sinusoidal load, whereas this study derived new reaction rate models for square wave. In order to validate the derived model, the fatigue life was estimated using the previous fatigue test results of wood. The results of the fatigue life estimation calculations using the derived reaction rate model confirmed that the estimated value of fatigue life generally matched well with the experimental values, though room for further examination is left in the interpretation of how the parameter included in the model relates to the wood species’ special quality, load conditions and so on. Thus, the possibility of a reaction kinetics approach to examine the fatigue life of wood was demonstrated.

References

  1. Bach L (1973) Reiner–Weisenberg’s theory applied to time-dependent fracture of wood subjected to various modes of mechanical loading. Wood Sci 5:161–171Google Scholar
  2. Bond IP, Ansell MP (1998) Fatigue properties of jointed wood composites. Part II: life prediction analysis for variable amplitude loading. J Mater Sci 33:4121–4129CrossRefGoogle Scholar
  3. Caulfield DF (1985) A chemical kinetics approach to the duration-of-load problem in wood. Wood Fiber Sci 17:504–521Google Scholar
  4. Coleman BD (1956) Application of the theory of absolute reaction rates to the creep failure of polymeric filaments. J Polym Sci 20:447–455CrossRefGoogle Scholar
  5. Eyring H (1935) The activated complex in chemical reactions. J Chem Phys 3:107–115CrossRefGoogle Scholar
  6. Glasstone S, Laidler KJ, Eyling H (1941) The theory of rate processes: The kinetics of chemical reactions, viscosity, diffusion and electrochemical phenomena. McGraw-Hill Book Company Inc., New YorkGoogle Scholar
  7. Hansen AC, Baker-Jarvis J (1990) A rate-dependent kinetic theory of fracture for polymers. Int J Fract 44:221–231Google Scholar
  8. Henderson CB, Graham PH, Robinson CN (1970) A comparison of reaction rate models for the fracture of solids. Int J Fract Mech 6:33–40CrossRefGoogle Scholar
  9. Hirashima Y, Sugihara M, Sasaki Y, Ando K, Yamasaki M (2004) Strength properties of aged wood I. Tensile strength properties of aged Keyaki and Akamatsu woods. Mokuzai Gakkaishi 50:301–309Google Scholar
  10. Hsiao CC (1966) Fracture. Phys Today 19:49–53CrossRefGoogle Scholar
  11. Hsiao CC, Mogue SR, Kausch von Schmeling HH (1968) Time-dependent mechanical strength of oriented media. J Appl Phys 39:3857–3861CrossRefGoogle Scholar
  12. Kohara M, Okuyama T (1992) Mechanical responses of wood to repeated loading V: effect of duration time and number of repetitions on the time to failure in bending. Mokuzai Gakkaishi 38:753–758Google Scholar
  13. Kozin E, Bogdanoff JL (1990) Cumulative damage model for mean fatigue crack growth based on the kinetic theory of thermally activated fracture. Eng Fract Mech 37:995–1010CrossRefGoogle Scholar
  14. Krausz AS, Eyring HJ (1976) Deformation kinetics. Wiley, HobokenGoogle Scholar
  15. Li L, Gong M, Smith I, Li D (2012) Exploratory study on fatigue behavior of laterally loaded, nailed timber joints, based on a dissipated energy criterion. Holzforschung 66:863–869Google Scholar
  16. Liu JY, Ross RJ (1996) Energy criterion for fatigue strength of wood structural members. J Eng Mater Technol 118:375–378CrossRefGoogle Scholar
  17. Liu JY, Zahn JJ, Schaffer EL (1994) Reaction rate model for the fatigue strength of wood. Wood Fiber Sci 26:3–10Google Scholar
  18. Madsen B (1992) Structural behavior of timber. Timber Engineering Ltd., North VancouverGoogle Scholar
  19. Put VD (1989) Deformation and damage processes in wood. Delft University Press, DelftGoogle Scholar
  20. Sasaki Y, Yamasaki M (2004) Effect of pulsating tension–torsion-combined loading on fatigue behavior in wood. Holzforschung 58:666–672CrossRefGoogle Scholar
  21. Sasaki Y, Yamasaki M, Akita F (2007) Fatigue behavior in wood under pulsating compression–torsion-combined loading. Wood Fiber Sci 39:336–344Google Scholar
  22. Sasaki Y, Oya A, Yamasaki M (2014) Energetic investigation of the fatigue of wood. Holzforschung 68:843–848CrossRefGoogle Scholar
  23. Sugimoto T, Sasaki Y, Yamasaki M (2007) Fatigue of structural plywood under cyclic shear through thickness I: fatigue process and failure criterion based on strain energy. J Wood Sci 53:296–302CrossRefGoogle Scholar
  24. Thompson RJH, Ansell MP, Bonfield PW, Dinwoodie JM (2005) Fatigue in wood-based panels. Part 2: property changes during fatigue cycling of OSB, chipboard and MDF. Wood Sci Technol 39:311–325CrossRefGoogle Scholar
  25. Tobolsky A, Eyring H (1943) Mechanical properties of polymeric materials. J Chem Phys 11:125–134CrossRefGoogle Scholar
  26. Watanabe A, Sasaki Y, Yamasaki M (2014) Bending fatigue of wood: strain energy-based failure criterion and fatigue life prediction. Wood Fiber Sci 46:216–227Google Scholar

Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  • Yasutoshi Sasaki
    • 1
  • Ayaka Oya
    • 1
  • Hideaki Nomura
    • 1
  • Mariko Yamasaki
    • 1
  1. 1.Department of Biosphere Resources, Graduate School of Bioagricultural SciencesNagoya UniversityNagoyaJapan

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