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Growth stress generation: a new mechanical model of the dimensional change of wood cells during maturation

Abstract

A new mechanical model was developed to introduce the maturation process of wood cells theoretically. Using mechanical and physical properties of the two components of the cell wall, namely, a matrix reinforced by oriented cellulose microfibrils, it is possible to predict the relation between the anisotropic released strains and the microfibril angle. The model used in this study is based on the unified hypothesis combining the compressive stress generated in the cell wall matrix and the tensile stress originating in the cellulose microfibril as a framework. It is simple compared to the previously derived multilayered model, but it does not strictly fulfill all conditions of static equilibrium. Nevertheless, an excellent fit with observations can be obtained through varying a limited number of parameters.

References

  1. 1.

    Kubler H (1987) Growth stresses in trees and related wood properties. For Prod Abstr 10:61–118

    Google Scholar 

  2. 2.

    Archer RR, Byrness FE (1974) On the distribution of tree growth stresses. I. An anisotropic plane strain theory. Wood Sci Technol 8:184–196

    Article  Google Scholar 

  3. 3.

    Okuyama T, Kikata Y (1975) The residual stresses in wood logs due to growth stresses. Mokuzai Gakkaishi 21:335–341

    Google Scholar 

  4. 4.

    Fournier M, Bordonne PA, Guitard D, Okuyama T (1990) Growth-stress pattern in tree stems: a model assuming evolution with the tree age of maturation strain. Wood Sci Technol 24:131–142

    Article  Google Scholar 

  5. 5.

    Okuyama T, Kawai A, Kikata Y, Yamamoto H (1986) The growth stresses in reaction wood. In: Proceedings of the XVIII IUFRO World Congress, Yugoslavia, pp 249–260

  6. 6.

    Okuyama T (1993) Growth stresses in trees. Mokuzai Gakkaishi 39:747–756

    Google Scholar 

  7. 7.

    Yamamoto H, Okuyama T (1988) Analysis of the generation process of growth stresses in cell walls. Mokuzai Gakkaishi 34:788–793

    Google Scholar 

  8. 8.

    Yamamoto H, Okuyama T, Yoshida M (1995) Generation process of growth stresses in cell walls. VI. Analysis of the growth stress generation by using a cell model having three layers (Sl, S2, and I + P). Mokuzai Gakkaishi 41:1–8

    Google Scholar 

  9. 9.

    Yamamoto H (1998) Generation mechanism of growth stresses in wood cell walls: roles of lignin deposition and cellulose microfibril during cell wall maturation. Wood Sci Technol 32:171–182

    CAS  Article  Google Scholar 

  10. 10.

    Boyd JD (1972) Tree growth stresses. V. Evidence of an origin in differentiation and lignification. Wood Sci Technol 6:251–262

    Article  Google Scholar 

  11. 11.

    Bamber RK (1978) The origin of growth stresses. Contributed paper to the IUFRO conference, Philippines, pp 1–7

  12. 12.

    Barber NF (1969) A theoretical model of shrinking wood. Holzforschung 22:97–103

    Article  Google Scholar 

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Correspondence to Hiroyuki Yamamoto.

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Guitard, D., Masse, H., Yamamoto, H. et al. Growth stress generation: a new mechanical model of the dimensional change of wood cells during maturation. J Wood Sci 45, 384–391 (1999). https://doi.org/10.1007/BF01177910

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Key words

  • Growth stresses
  • Wood cell maturation
  • Cell wall
  • Mechanical model
  • Fiber composites