Summary
Viscoelastic bending loads resulting from prescribed deflections increasing continuously or stepwise from 0, 20, or 30% initial stress level (linear range) to 55 or 65% final stress level (non-linear range), i.e., within the proportional limit, were measured over a period of 10 h. Loads could be predicted by a numerical method using model element constants which were an experimentally determined function of deflection. An 8-element model consisting of a Maxwell model and three Voigt models in series was used. The upper limit of stress level where linear relation between creep strain and stress holds ranged from about 35 to 45%. Calculated load changes agreed well with experimental load changes.
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References
Bach, L.; Pentoney, R. E. 1968: Non-linear mechanical behavior of wood. Forest Prod. J. 18 (3): 60–66
Bhatnagar, N. S. 1964: Kriechen von Holz bei Zugbeanspruchung in Faserrichtung. Holz Roh-Werkstoff 22: 296–299
Grossman, P. U. A.; Kingston, R. S. T. 1963: Some aspect of the rheological behaviour of wood III. Aust. J. Appl. Sci. 14: 305–317
King, E. G., Jr. 1961: Time dependent strain behavior of wood in tension parallel to the grain. Forest Prod. J. 11: 156–165
Mukudai, J.; Sakamoto, S.; Kadita, H.; Yata, S. 1978: Evaluating of linear viscoelastic behavior of wood I. Mokuzai Gakkaishi. 24: 447–454
Mukudai, J.; Sakamoto, S. 1978: Evaluating of linear viscoelastic behavior of Wood II. Mokuzai Gakkaishi. 24: 605–611
Mukudai, J.; Taguchi, M. 1980a: Non linear viscoelastic behavior and non-linear super-position of wood in bending I. Mokuzai Gakkaishi. 26: 146–158
Mukudai, J.; Taguchi, M. 1980b: Non-linear viscoelastic behavior and non-linear super-position of wood in bending II. Mokuzai Gakkaishi. 26: 159–170
Mukudai, J. 1983: Evaluation of non-linear viscoelastic bending deflection of wood. Wood Sci. Technol. 17: 39–54
Reinhardt, H. W. 1973: Zur Beschreibung des rheologischen Verhaltens von Holz. Holz Roh-Werkstoff 31: 352–355
Schniewind, A. P.; Barrett, J. D. 1972: Wood as a linear orthotropic viscoelastic material. Wood Sci. Technol. 6: 43–57
Senft, J. F.; Suddarth, S. K. 1971: An analysis of creep-inducing stress in sitka spruce. Wood Fiber. 2: 321–327
Sugiyama, H. 1957: The creep deflection of wood subjected to bending under constant loading. Trans. Archit. Inst. Japan 55: 60–70
Yamada, T.; Takemura, T.; Kadita, S. 1961: On the rheology of wood III. Mokuzai Gakkaishi. 7: 63–67
Ylinen, A. 1965: Über die Bestimmung der zeitbedingten elastischen und Festigkeitseigenschaften des Holzes mit Hilfe eines allgemeinen nichtlinear visco-elastischen rheologischen Modelles. Holz Roh-Werkstoff 23: 193–196
Youngs, R. L. 1957: The perpendicular-to-grain mechanical properties of red oak as related to temperature, moisture content, and time. U.S. For. Serv. Rep. FPL No. 2079
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This research was supported in part by a Grant-in-Aid for Scientific Research, Ministry of Education, Japan. The author is indebted to Professor Arno P. Schniewind, Forest Products Laboratory, University of California, for critically reviewing the manuscript
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Mukudai, J. Evaluation of linear and non-linear viscoelastic bending loads of wood as a function of prescribed deflections. Wood Sci. Technol. 17, 203–216 (1983). https://doi.org/10.1007/BF00372319
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DOI: https://doi.org/10.1007/BF00372319