Home A hysteresis model suitable for numerical simulation of moisture content in wood
Article
Licensed
Unlicensed Requires Authentication

A hysteresis model suitable for numerical simulation of moisture content in wood

  • Henrik Lund Frandsen , Staffan Svensson and Lars Damkilde
Published/Copyright: March 9, 2007
Become an author with De Gruyter Brill
Holzforschung
From the journal Volume 61 Issue 2

Abstract

The equilibrium moisture content in wood depends not only on the current relative humidity in ambient air, but also on the history of relative humidity variations. This hysteresis dependence of sorption in wood implies that in the worst case the moisture content for a given relative humidity may deviate by 30–35%. While researchers seem to have reached a general agreement on the hypothesis for the sorption hysteresis phenomenon, only a few models describing the phenomenon are available. Current models such as the independent domain model have numerical deficiencies and drawbacks. This paper presents a new hysteresis model, which mathematically resolves in closed-form expressions, with the current relative humidity and moisture content as the only input parameters. Furthermore, the model has the advantage of being applicable to different sorption isotherms, i.e., different species and different temperatures. These features make the model relatively easy to implement into a numerical method such as the finite element method.

:

Corresponding author. Department of Civil Engineering, Aalborg University, Sohngaardsholmvej 57, 9000 Aalborg, Denmark

References

Ahlgren, L. (1972) Moisture fixation in porous building materials. Division of Building Technology, Lund Institute of Technology, Lund.Search in Google Scholar

Avramidis, S. (1987) The basics of sorption. In: Proceedings of the International Conference on Wood-Water Relations, Copenhagen. E8, pp. 1–16.Search in Google Scholar

Chomcarn, A., Skaar, C. (1983) Dynamic sorption and hygroexpansion of wood wafers exposed to sinusoidally varying humidity. Wood Sci. Technol.17:259–277.10.1007/BF00349914Search in Google Scholar

Dinwoodie, J.M. Timber: Its Nature and Behaviour. E & FN Spon, London, 2000.10.4324/9780203477878Search in Google Scholar

Everett, D.H. (1954) A general approach to hysteresis. Part 3. A formal treatment of the independent domain model of hysteresis. Trans. Faraday Soc.50:1077–1096.Search in Google Scholar

Everett, D.H. (1955) A general approach to hysteresis. Part 4. An alternative formulation of the domain model. Trans. Faraday Soc.51:1551–1557.Search in Google Scholar

Everett, D.H., Smith, F.W. (1954) A general approach to hysteresis. Part 2. Development of the domain theory. Trans. Faraday Soc.50:187–197.10.1039/tf9545000187Search in Google Scholar

Everett, D.H., Whitton, W.I. (1952) A general approach to hysteresis. Trans. Faraday Soc.48:749–757.10.1039/tf9524800749Search in Google Scholar

Fan, M.Z., Dinwoodie, J.M., Bonfield, P.W., Breese, M.C. (1999) Dimensional instability of cement-bonded particleboard: Behavior of cement paste and its contribution to the composite. Wood Fiber Sci.31:306–318.Search in Google Scholar

Frandsen, H.L. (2005) Modeling of moisture transport in wood. In: Wood Science and Timber Engineering. Department of Structural Engineering and Building Technology, Aalborg University, Aalborg (ISSN 1395-7953 R0502).Search in Google Scholar

Huang, H.C., Tan, Y.C., Liu, C.W., Chen, C.H. (2005) A novel hysteresis model in unsaturated soil. Hydrol. Process.19:1653–1665.10.1002/hyp.5594Search in Google Scholar

Kool, J.B., Parker J.C. (1987) Development and evaluation of closed-form expressions for hysteretic soil hydraulic properties. Water Resour. Res.23:105–114.10.1029/WR023i001p00105Search in Google Scholar

Mualem, Y. (1973) Modified approach to capillary hysteresis based on a similarity hypothesis. Water Resour. Res.9:1324–1331.10.1029/WR009i005p01324Search in Google Scholar

Mualem, Y. (1974) Conceptual model of hysteresis. Water Resour. Res.10:514–520.10.1029/WR010i003p00514Search in Google Scholar

Pedersen, C.R. (1990) Combined heat and moisture transfer in build constructions. Thermal Insulation Laboratory, Technical University of Denmark.Search in Google Scholar

Peralta, P.N. (1995a) Modelling wood moisture sorption hysteresis using the independent-domain theory. Wood Fiber Sci.27:250–257.Search in Google Scholar

Peralta, P.N. (1995b) Sorption of moisture by wood within a limited range of relative humidities. Wood Fiber Sci.27:13–21.Search in Google Scholar

Peralta, P.N. (1996) Moisture sorption hysteresis and the independent-domain theory: The moisture distribution function. Wood Fiber Sci.28:406–410.Search in Google Scholar

Peralta, P.N., Bangi, A.P. (1998a) Modeling wood moisture sorption hysteresis based on similarity hypothesis. Part 1. Direct approach. Wood Fiber Sci.30:48–55.Search in Google Scholar

Peralta, P.N., Bangi, A.P. (1998b) Modeling wood moisture sorption hysteresis based on similarity hypothesis. Part II. Capillary-radii approach. Wood Fiber Sci.30:148–154.Search in Google Scholar

Scott, P.S., Farquhar, G.J., Kouwen, N. (1983) Hysteretic effects on net infiltration. In: Advances in Infiltration. Publication 11-83. American Society of Agricultural Engineers, St Joseph, MI. pp. 163–170.Search in Google Scholar

Published Online: 2007-03-09
Published in Print: 2007-03-01

©2007 by Walter de Gruyter Berlin New York

Articles in the same Issue

  1. Characterization of thin water layers in pulp by tritium exchange. Part 1: Methods development
  2. Characterization of thin water layers in pulp by tritium exchange. Part 2: Effect of refining on water absorption
  3. Characterizing wood fiber and particle length with a mixture distribution and a segmented distribution
  4. Effect of photolysis on 17th/18th century paper
  5. Changes in the cell wall volume of a number of wood species due to reaction with acetic anhydride
  6. A novel simple route to wood acetylation by transesterification with vinyl acetate
  7. Formation and properties of nanocomposites made up from solid aspen wood, melamine-urea-formaldehyde, and clay
  8. Ellagitannins from Portuguese oak wood (Quercus pyrenaica Willd.) used in cooperage: influence of geographical origin, coarseness of the grain and toasting level
  9. Epimeric phenylpropanoid glycosides from inner bark of Paulownia coreana Uyeki
  10. Lipid and lignin composition of woods from different eucalypt species
  11. A hysteresis model suitable for numerical simulation of moisture content in wood
  12. Simple estimation of critical stress intensity factors of wood by tests with double cantilever beam and three-point end-notched flexure
  13. Screening fungi tolerant to Western red cedar (Thuja plicata Donn) extractives. Part 1. Mild extraction by ultrasonication and quantification of extractives by reverse-phase HPLC
  14. Screening fungi tolerant to Western red cedar (Thuja plicata Donn) extractives. Part 2. Development of a feeder strip assay
  15. Contribution of hardness to the natural resistance of a range of wood species to attack by the marine borer Limnoria
  16. Biodeterioration of treated Pinus radiata timber by Australian decay fungi and the termite Coptotermes acinaciformis in laboratory bioassays and field conditions
  17. Development of an accelerated soil-contact decay test
  18. Obituary Dr. Bo Hortling (1942–2006)
Downloaded on 8.9.2025 from https://www.degruyterbrill.com/document/doi/10.1515/HF.2007.031/html
Scroll to top button