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Viscoplasticity of Steamed Wood

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Abstract

Plasticity of steamed Spruce wood, compressed in uniaxial strain, is addressed in terms of a classical linear viscoplasticity model. The dynamic stiffness modulus increases along with compressive stress in the radial material direction, but decreases as a function of stress in the longitudinal direction. The longitudinal viscoplastic retardation time is an order of magnitude smaller than the radial retardation time, the plastic strain rate at invariant normalized overstress thus being much higher in the longitudinal direction. In the longitudinal direction, the retardation time increases along with increased compressive stress. The viscoplastic retardation time is inversely proportional to the straining rate in both material directions. Consequently, within any particular schedule of normalized overstress, the accumulation of plastic strain along with the number of loading cycles is independent of straining rate.

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References

  • Bach, L., ‘Frequency-dependent fracture in wood under pulsating loading’, in Forest Products Research Society Annual Meeting, Portland, OR, June 15, 1975, 33 p. (The Technical University of Denmark, Department of Civil Engineering, Building Materials Laboratory, Technical Report 68/79 (1979)).

  • Bienfait, J.L., ‘Relation of the manner of failure to the structure of wood under compression parallel to the grain’, J. Agric. Rec. 33(2), 1926, 183–194.

    Google Scholar 

  • Björkqvist, T., Liukkonen, S., Lucander, M. and Saharinen, E., ‘Kuidutuspinnan ja puun tehokkaampi vuorovaikutus (KUPU). Loppuraportti’, Tampere University of Technology, Automation and Control Institute, Report 4/1998.

  • Bodig, J., ‘The effect of anatomy on the initial stress–strain relationship in transverse compression’, For. Prod. J. 15, 1965, 197–202.

    Google Scholar 

  • Christensen, R.M., ‘Mechanics of cellular and other low-density materials’, Int. J. Solids Struct. 37, 2000, 93–104.

    MATH  MathSciNet  Google Scholar 

  • Clorius, C.O., Pedersen, M.U., Hoffmeyer, P. and Damkilde, L., ‘Compressive fatigue in wood’, Wood Sci. Tech. 34, 2000, 21–37.

    Google Scholar 

  • Cousins, W.J., ‘Elasticity of isolated lingin: Youngapos;s modulus by a continuous indentation method’, NZ J. For. Sci. 7(1), 1977, 107–112.

    Google Scholar 

  • Cousins, W.J., ‘Youngapos;s modulus of hemicellulose as related to moisture content’, Wood Sci. Tech. 12, 1978, 161–167.

    Google Scholar 

  • Doolittle, A.K., ‘Studies in Newtonian flow. II. The dependence of the viscosity of liquids on free space’, J. Appl. Phys. 22(12), 1951, 1471–1475.

    Article  ADS  Google Scholar 

  • Doolittle, A.K. and Doolittle, D.B., ‘Studies in Newtonian flow. V. Further verification of the free-space viscosity equation’, J. Appl. Phys. 28, 1957, 901–905.

    Article  ADS  Google Scholar 

  • Duvaut, G. and Lions, J.L., Les Inequations en Mecanique et en Physique., Dunod, Paris, 1972.

    MATH  Google Scholar 

  • Easterling, K.E., Harrysson, R., Gibson, L.J. and Ashby, M.F., ‘On the mechanics of Balsa and other woods’, Proc. R. Soc. Lond. A383, 1982, 31–41.

    ADS  Google Scholar 

  • Ferry, J.D., Viscoelastic Properties of Polymers, Wiley, New York, 1961.

    Google Scholar 

  • Ferry, J.D. and Stratton, R.A., ‘The free volume interpretation of viscosities and viscoelastic relaxation times on concentration, pressure, and tensile strain’, Kolloid Zeitschrift 171(2), 1960, 107–111.

    Google Scholar 

  • Gibson, L.J. and Ashby, J.B., Cellular Solids, Pergamon, New York, 1988.

    MATH  Google Scholar 

  • Gril, J. and Norimoto, M., ‘Compression of wood at high temperature,’ COST 508 –Wood mechanics, workshop on wood: Plasticity and damage, Birkinshaw, C., Morlier, P. and Seoane, I. (eds.) CEC, 1993, 5–143.

  • Irvine, G.M., ‘The significance of the glass transition of lignin in thermomechanical pulping’, Wood Sci. Tech. 19, 1985, 139–149.

    Google Scholar 

  • Kärenlampi, P.P., Tynjälä, P. and Ström, P., ‘Mechanical behavior of steam-treated spruce wood under compressive strain’, Submitted for publication (10/2001).

  • Keith, C.T., ‘The mechanical behavior of wood in longitudinal compression’, Wood Sci. 4(4), 1972, 234–244.

    Google Scholar 

  • Kersavage, P.C., ‘Moisture content effect on tensile properties of individual Douglas-fir latewood tracheids’, Wood Fiber 5(2), 1973, 105–117.

    Google Scholar 

  • Kitahara, R., Tsutsumi, J. and Matsumoto, T., ‘Observations on the cell wall response and mechanical behavior in wood subjected to repeated static bending load’, Mokuzai Gakkaishi 27(1), 1981, 1–7.

    Google Scholar 

  • Kunesh, R.H., ‘Strength and elastic properties of wood in transverse compression’, For. Prod. J. 18(1), 1967, 65–72.

    Google Scholar 

  • March, H.W. and Smith, C.B., ‘Buckling loads of flat sandwich panels in compression. Various types of edge conditions’, U.S.D.A. Forest Service, Forest Products Laboratory, Madison, WI, Report 1525 (March 1945).

  • Page, D.H. and Schulgasser, K., ‘Evidence for a laminate model for paper’, in Mechanics of Cellulosic and Polymeric Materials, American Society of Mechanical Engineers, New York, 1989, 35–39.

  • Perzyna, P., ‘Thermodynamic theory of viscoplasticity’, in Advances in Applied Mechanics, Vol. 11, Academic, New York, 1971.

  • Salmén, L., ‘Viscoelastic properties of in situ lignin under water-saturated conditions’, J. Mater. Sci. 19(9), 1984, 3090–3096.

    Google Scholar 

  • Salmén, L., ‘Responses of paper properties to changes in moisture content and temperature’, in Tenth Fundamental Research Symposium, Oxford, Pira International, Letherhead, UK, 1993, 369–430.

  • Salmén, L. and Fellers, C., ‘The fundamentals of energy consumption during viscoelastic and plastic deformation of wood’, in International Mechanical Pulping Conference, EUCEPA, Oslo, June 16–19, 1981, Session VI, Paper 1, 21 p.

  • Simo, J.C. and Hughes, T.J.R., Computational Inelasticity, Interdisciplinary Applied Mathematics, Springer-Verlag, Berlin, 1998.

    MATH  Google Scholar 

  • Smith, T.L., ‘Stress–strain–time–temperature relationship for polymers’, in ASTM Materials Science, Series 3, STP-325, American Society of Testing and Materials, New York, 1962, 60–89.

  • Uhmeier, A., Some Aspects on Solid and Fluid Mechanics of Wood in Relation to Mechanical Pulping, Dissertation, Royal Institute of Technology, Stockholm, 1995.

  • Uhmeier, A. and Salmén, L., ‘Influence of radial strain rate and temperature on the radial compression behavior of wet spruce’, ASME JEMT 118, 1996a, 289–294.

    Google Scholar 

  • Uhmeier, A. and Salmén, L., ‘Repeated large radial compression of heated spruce’, Nordic Pulp Pap. Res. J. 11(3), 1996b, 171–176.

    Article  Google Scholar 

  • Williams, M.I., Landel, R.F. and Ferry, J.D., ‘Temperature dependence of relaxation mechanisms in amorphous polymers and other glass-forming liquids’, J. Am. Chem. Soc. 77, 1955, 3701–3707.

    Google Scholar 

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Correspondence to Petri P. KÄRenlampi.

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KÄRenlampi, P.P. Viscoplasticity of Steamed Wood. Mech Time-Depend Mater 9, 161–172 (2005). https://doi.org/10.1007/s11043-005-1086-9

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