Computational Analysis of Quality Reduction during Drying of Lumber due to Irrecoverable Deformation. II: Algorithmic Aspects and Practical Application
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VIEW THE ORIGINAL ARTICLEPublication: Journal of Engineering Mechanics
Volume 129, Issue 9
Abstract
This paper describes the development of an efficient numerical integration algorithm for an orthotropic viscoelastic-mechanosorptive-plastic material model for wood, which was presented in Part I of this serial. This development utilizes both a semianalytical algorithm for the viscoelastic parts, and the return-mapping algorithm known from plasticity for the mechanosorptive-plastic part of the model. This yields an easily computed, closed form expression for the consistent tangent operator, and, as a consequence, a quadratic rate of asymptotic convergence on the global level of the incremental-iterative analysis by means of the FEM. To prove the practical applicability of the presented formulation, a numerical study of the so-called case-hardening phenomenon as observed on fast dried pine wood was performed. Selected results are presented and discussed.
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References
CEN–European Committe for Standardization. (2000). “Round and sawn timber—Method for assessment of casehardening.” European Prestandard prENV 175-091, Final Draft, European Committee for Standardization, 〈http://www.cenorm.be〉.
Hanhijärvi, A. (1997). “Perpendicular-to-grain creep of Finnish softwoods in high temperature drying conditions.” VTT-Publications 301, VTT, Technical Research Centre of Finland, Espoo, Finland.
Hanhijärvi, A.(1999). “Deformation properties of Finnish spruce and pine wood in tangential and radial directions in association to high temperature drying. II: Experimental results under constant conditions (viscoelastic creep).” Holz Roh-Werkst., 57(5), 365–372.
Hanhijärvi, A.(2000a). “Deformation properties of Finnish spruce and pine wood in tangential and radial directions in association to high temperature drying. III: Experimental results under drying conditions (mechano-sorptive creep).” Holz Roh-Werkst., 58 (1–2), 63–71.
Hanhijärvi, A.(2000b). “Deformation properties of Finnish spruce and pine wood in tangential and radial directions in association to high temperature drying. IV: Modelling.” Holz Roh-Werkst., 58(4), 211–216.
Hanhijärvi, A., and Mackenzie-Helnwein, P.(2003). “Computational analysis of quality reduction during drying of lumber due to irrecoverable deformation. I: Orthotropic viscoelastic-mechanosorptive-plastic material model for the transverse plane of wood.” J. Eng. Mech., 129(9), 996–1005.
Hukka, A. (1996). “A simulation program for optimisation of medium temperature drying on an industrial scale.” Proc., 5th Int. IUFRO Wood Drying Conf., Quebec City, Canada, August 13–17.
Hukka, A.(1999). “The effective diffusion coefficient and mass transfer coefficient of nordic softwoods as calculated from direct drying experiments.” Holzforschung, 53(5), 534–540.
Patankar, S. V. (1980). Numerical heat transfer and fluid flow, Hemisphere Publishing, Washington, D.C.
Ranta-Maunus, A., Forsén, H., and Tarvainen, V. (2001). “Analysis of case hardening.” Proc., 3rd Workshop on Softwood Drying to Specific End-Uses, Helsinki, Finland, June 11–13, COST Action E15, VTT Building and Transport, Espoo, Paper 14, 〈http://www.vtt.fi/rtc/bss/cost15/indexe.html〉.
Simo, J. C., and Hughes, T. J. R. (1998). Computational inelasticity, Interdisciplinary Applied Mathematics, Springer, New York.
Simo, J. C., and Taylor, R. L.(1985). “Consistent tangent operators for rate independent elasto-plasticity.” Comput. Methods Appl. Mech. Eng., 48(1), 101–118.
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Copyright © 2003 American Society of Civil Engineers.
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Received: Dec 11, 2001
Accepted: May 5, 2003
Published online: Aug 15, 2003
Published in print: Sep 2003
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