Abstract
The Preisach model, the mathematical form of the independent domain model, has been used to describe water sorption hysteresis in wood for over 20 years, however, its geometric interpretation has not been fully explored. In this work, it is demonstrated that the geometric interpretation can be used to explain the five experimental hysteresis patterns identified in the first paper of this series. Additionally, a modification to the aforementioned model is suggested that involves a numerical implementation, which avoids the use of unknown parameters. Our approach was evaluated at 25 and 40°C by comparing the predicted 1st to 4th order scanning curves with experimental data for Douglas-fir, western red cedar and Aspen. The low prediction errors and well-maintained wiping-out property support the suitability of our approach. Compared to other models found in literature, the presented model has the advantage of high accuracy and easy implementation due to its nonparametric nature.
References
Carmeliet, J., De Wit, M.H.D., Janssen, H. (2005) Hysteresis and moisture buffering of wood. Symposium of Building Physics in the Nordic Countries, June 13–15th, Reykjavík, Iceland, pp 55–62.Search in Google Scholar
Derome, D., Derluyn, H., Zillig, W., Carmeliet, J. (2008) Model for hysteretic moisture behavior of wood. Proceedings of the 8th Symposium on Building Physics in the Nordic Countries, June 16–18, Copenhagen, Vol. 2:959–966.Search 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
Everett, D.H., Smith, F.W. (1953) 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. (1954) A general approach to hysteresis. Part 3. A formal treatment of the independent domain model of hysteresis. Trans. Faraday Soc. 50:1077–1096.10.1039/TF9545001077Search in Google Scholar
Everett, D.H. (1955) A general approach to hysteresis. Part 4. An alternative formulation of the domain model. Trans. Faraday Soc. 51:1551–1557.10.1039/tf9555101551Search in Google Scholar
Frandsen, H.L., Svensson, S., Damkilde, L. (2007) A hysteresis model suitable for numerical simulation of moisture content in wood. Holzforschung 61:175–181.10.1515/HF.2007.031Search in Google Scholar
Mayergoyz, I.D. (1986) Mathematical models of hysteresis. EEE Trans. Magn. 22:603–608.10.1109/TMAG.1986.1064347Search in Google Scholar
Mayergoyz, I.D. Mathematical Models of Hysteresis. Springer, New York, 1991.10.2172/6911694Search in Google Scholar
Merakeb, S., Dubois, F., Petit, C. (2009) Modeling of the sorption hysteresis for wood. Wood Sci. Technol. 43:575–589.10.1007/s00226-009-0249-2Search 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) A conceptual model of hysteresis. Water Resour. Res. 10:514–520.10.1029/WR010i003p00514Search in Google Scholar
Patera, A., Derluyn, H., Derome, D., Carmeliet, J. (2016) Influence of sorption hysteresis on moisture transport in wood. Wood Sci. Technol. 50:259–283.10.1007/s00226-015-0786-9Search in Google Scholar
Peralta, P.N. (1995a) 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. (1995b) Modelling wood moisture sorption hysteresis using the independent-domain theory. Wood Fiber Sci. 27:250–257.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 1. Capillary-radii approach. Wood Fiber Sci. 30:148–154.Search in Google Scholar
Shi, J., Avramidis, S. (2017) Water sorption hysteresis in wood: I review and experimental patterns – geometric characteristics of scanning curves. Holzforschung 71:307–316.10.1515/hf-2016-0120Search in Google Scholar
Zillig, W. (2009) Moisture transport in wood using a multiscale approach. Ph.D. Thesis, Katholieke Universiteit Leuven, Belgium.Search in Google Scholar
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