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Hygro-mechanical analysis of wood subjected to constant mechanical load and varying relative humidity

  • Sabina Huč EMAIL logo , Staffan Svensson und Tomaž Hozjan
Veröffentlicht/Copyright: 11. Juni 2018
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Abstract

A hygro-mechanical (H-M) analysis of a wooden specimen sustaining a mechanical load while subjected to varying relative humidity was performed to predict the long-term rheological behavior of wood. The numerical analysis was based on the experimental results of total strains, monitored in two orthotropic material directions on oak wood specimens under constant uniaxial compression and with moisture content (MC) variation. For the moisture analysis, a multi-Fickian moisture transport model (MFMTM) was used to obtain temporal and spatial MC fields, which were the input data in the mechanical analysis. The presented mechanical model assumed a decomposition of the total strains into the elastic, viscoelastic and mechanosorptive strains and the strains due to shrinkage and swelling. The moisture and mechanical analyses required material parameters, which were taken from the literature or were empirically obtained by a fitting procedure. The performed H-M analysis gave accurate numerical predictions of the experimentally obtained total strains in two orthotropic directions simultaneously. Thus, the analysis developed has a high potential for predicting the long-term rheological behavior of timber structures, assuming that the material parameters are determined previously, based on specific, extensive, multidimensional experimental analyses.

Acknowledgments

The authors would like to thank their colleagues at Division of Applied Mechanics, Ångström Laboratory, Uppsala University for sharing the experimental results. The financial support by Gunnar Ivarson’s Foundation (Gunnar Ivarsons Stiftelse för Hållbart Samhällsbyggande, GIS) made this work possible.

  1. Author contributions: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.

  2. Research funding: The work of Tomaž Hozjan was supported by the Slovenian Research Agency through the research core funding, funder id: 10.13039/501100004329, No. P2-0260. The support is gratefully acknowledged.

  3. Employment or leadership: None declared.

  4. Honorarium: None declared.

References

Afshar, R., van Dijk, N.P., Bjurhager, I., Gamstedt, E.K. (2017) Comparison of experimental testing and finite element modelling of a replica of a section of the Vasa warship to identify the behaviour of structural joints. Eng. Struct. 147:62–76.10.1016/j.engstruct.2017.05.051Suche in Google Scholar

Aicher, S., Dill-Langer, G., Ranta-Maunus, A. (1998) Duration of load effect in tension perpendicular to the grain of glulam in different climates. Holz als Roh- und Werkstoff 56:295–305.10.1007/s001070050323Suche in Google Scholar

Angst, V., Malo, K.A. (2010) Moisture induced stresses perpendicular to the grain in glulam: review and evaluation of the relative importance of models and parameters. Holzforschung 64:609–617.10.1515/hf.2010.089Suche in Google Scholar

Armstrong, L.D., Kingston, R.S.T. (1960) Effect of moisture changes on creep in wood. Nature 185:862–863.10.1038/185862c0Suche in Google Scholar

Armstrong, L.D., Christensen, G.N. (1961) Influence of moisture changes on deformation of wood under stress. Nature 191:869–870.10.1038/191869a0Suche in Google Scholar

Bažant, Z.P., Meiri, S. (1985) Measurements of compression of wood at humidity changes. Wood Sci. Technol. 19:179–182.10.1007/BF00353079Suche in Google Scholar

Bengtsson, C. (2001) Mechano-sorptive bending creep of timber – influence of material parameters. Holz als Roh- und Werkstoff 59:229–236.10.1007/s001070100217Suche in Google Scholar

COMSOL Multiphysics®. https://www.comsol.com/.Suche in Google Scholar

Dubois, F., Husson, J.M., Sauvat, N., Manfoumbi, N. (2012) Modeling of the viscoelastic mechano-sorptive behavior in wood. Mech. Time-Depend. Mater. 16:439–460.10.1007/s11043-012-9171-3Suche in Google Scholar

Findley, W.N., Lai, J.S., Onaran, K. Creep and Relaxation of Nonlinear Viscoelastic Materials. Dover Publications, Inc., New York, 1976.Suche in Google Scholar

Forest Products Laboratory. Wood handbook-Wood as an Engineering Material. Forest Products Laboratory, Madison, 2010.Suche in Google Scholar

Fortino, S., Mirianon, F., Toratti, T. (2009) A 3D moisture-stress FEM analysis for time dependent problems in timber structures. Mech. Time-Depend. Mater. 13:333–356.10.1007/s11043-009-9103-zSuche in Google Scholar

Fortino, S., Genoese, A., Genoese, A., Nunes, L., Palma, P. (2013) Numerical modelling of the hygro-thermal response of timber bridges during their service life: a monitoring case-study. Constr. Build. Mater. 47:1225–1234.10.1016/j.conbuildmat.2013.06.009Suche in Google Scholar

Fragiacomo, M., Fortino, S., Tononi, D., Usardi, I., Toratti, T. (2011) Moisture-induced stresses perpendicular to grain in cross-sections of timber members exposed to different climates. Eng. Struct. 33:3071–3078.10.1016/j.engstruct.2011.06.018Suche in Google Scholar

Frandsen, H.L. Selected Constitutive Models for Simulating the Hygromechanical Response of Wood. Aalborg University, Denmark, 2007.Suche in Google Scholar

Frandsen, H.L., Svensson, S. (2007) Implementation of sorption hysteresis in multi-Fickian moisture transport. Holzforschung 61:693–701.10.1515/HF.2007.113Suche in Google Scholar

Frandsen, H.L., Svensson, S., Damkilde, L. (2007a) A hysteresis model suitable for numerical simulation of moisture content in wood. Holzforschung 61:175–181.10.1515/HF.2007.031Suche in Google Scholar

Frandsen, H.L., Damkilde, L., Svensson, S. (2007b) A revised multi-Fickian moisture transport model to describe non-Fickian effects in wood. Holzforschung 61:563–572.10.1515/HF.2007.085Suche in Google Scholar

Gerhards, G.G. (1980) Effect of moisture content and temperature on the mechanical properties of wood: an analysis of immediate effects. Wood Fiber 14:4–36.Suche in Google Scholar

Grossman, P.U.A. (1976) Requirements for a model that exhibits mechano-sorptive behaviour. Wood Sci. Technol. 10:163–168.10.1007/BF00355737Suche in Google Scholar

Hanhijärvi, A. (2000) Advances in the knowledge of the influence of moisture changes on the long-term mechanical performance of timber structures. Mater. Struct. 33:43–49.10.1007/BF02481695Suche in Google Scholar

Hanhijärvi, A., 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. 129:996–1005.10.1061/(ASCE)0733-9399(2003)129:9(996)Suche in Google Scholar

Hassani, M.M., Wittel, F.K., Hering, S., Herrman, H.J. (2015) Rheological model for wood. Comput. Methods Appl. Mech. Eng. 283:1032–1060.10.1016/j.cma.2014.10.031Suche in Google Scholar

Hearmon, R.F.S., Paton, J.M. (1964) Moisture content changes and creep of wood. For. Prod. J. 14:357–359.Suche in Google Scholar

Hozjan, T., Svensson, S. (2011) Theoretical analysis of moisture transport in wood as an open porous hygroscopic material. Holzforschung 65:97–102.10.1515/hf.2010.122Suche in Google Scholar

Huč, S., Svensson, S. (2017) Coupled two-dimensional modeling of viscoelastic creep of wood. Wood Sci. Technol. 52:29–43.10.1007/s00226-017-0944-3Suche in Google Scholar

Hunt, D. (1984) Creep trajectories for beech during moisture changes under load. J. Mater. Sci. 19:1456–1467.10.1007/BF00563040Suche in Google Scholar

Hunt, D.G. (1989) Linearity and non-linearity in mechano-sorptive creep of softwood in compression and bending. Wood Sci. Technol. 23:323–333.10.1007/BF00353248Suche in Google Scholar

Husson, J.M., Dubois, F., Sauvat, N. (2010) Elastic response in wood under moisture content variations: analytic development. Mech. Time-Depend. Mater. 14:203–217.10.1007/s11043-009-9104-ySuche in Google Scholar

Kollmann, F.F.P., Côté, W.A. Jr. Principles of Wood Science and Technology I, Solid Wood. Springer-Verlag, Berlin, 1968.10.1007/978-3-642-87928-9Suche in Google Scholar

Konopka, D., Kaliske, M. (2018) Transient multi-Fickian hygro-mechanical analysis of wood. Comput. Struct. 197:12–27.10.1016/j.compstruc.2017.11.012Suche in Google Scholar

Leicester, R.H. (1971) A rheological model for mechano-sorptive deflections of beams. Wood Sci. Technol. 6:272–283.10.1007/BF00353683Suche in Google Scholar

Ljungdahl, J., Berglund, L.A., Burman, M. (2006) Transverse anisotropy of compressive failure in European oak – a digital speckle photography study. Holzforschung 60:190–195.10.1515/HF.2006.031Suche in Google Scholar

Mårtensson, A., Svensson, S. (1997a) Stress-strain relationship of drying wood. 1. Development of a constitutive model. Holzforschung 51:472–478.10.1515/hfsg.1997.51.5.472Suche in Google Scholar

Mårtensson, A., Svensson, S. (1997b) Stress-strain relationship of drying wood – Part 2: verification of a one-dimensional model and development of a two-dimensional model. Holzforschung 51:565–570.10.1515/hfsg.1997.51.6.565Suche in Google Scholar

Mohager, S., Toratti, T. (1993) Long term bending creep of wood in cyclic relative humidity. Wood Sci. Technol. 27:49–59.10.1007/BF00203409Suche in Google Scholar

Navi, P., Pittet, V., Plummer, C.J.G. (2002) Transient moisture effects on wood creep. Wood Sci. Technol. 36:447–462.10.1007/s00226-002-0157-1Suche in Google Scholar

Ozyhar, T., Mohl, L., Hering, S., Hass, P., Zeindler, L., Ackermann, R., Niemz, P. (2016) Orthotropic hygric and mechanical material properties of oak wood. Wood Mater. Sci. Eng. 11:36–45.10.1080/17480272.2014.941930Suche in Google Scholar

Ranta-Maunus, A. (1975) The viscoelasticity of wood at varying moisture content. Wood Sci. Technol. 9:189–205.10.1007/BF00364637Suche in Google Scholar

Reichel, S., Kaliske, M. (2015) Hygro-mechanically coupled modelling of creep in wooden structures, Part II: influence of moisture content. Int. J. Solids Struct. 77:45–64.10.1016/j.ijsolstr.2015.07.029Suche in Google Scholar

Salin, J.G. (1992) Numerical prediction of checking during timber drying and a new mechanosorptive creep model. Holz als Roh-und Werkstoff 50:195–200.10.1007/BF02663286Suche in Google Scholar

Schniewind, A.P. (1966) On the influence of moisture changes in the creep of beech wood perpendicular to the grain including the effects of temperature and temperature change. Holz and Roh-und Werkstoff 24:87–98.10.1007/BF02608354Suche in Google Scholar

Siau, J.F. Wood: Influence of Moisture on Physical Properties. Department of Wood Science and Forest Products, Virginia Polytechnic Institute and State University, Keene, 1995.Suche in Google Scholar

Srpčič, S., Srpčič, J., Saje, M., Turk, G. (2009) Mechanical analysis of glulam beams exposed to changing humidity. Wood Sci. Technol. 43:9–22.10.1007/s00226-008-0196-3Suche in Google Scholar

Svensson, S., Mårtensson, A. (2002) Simulation of drying stresses in wood. Part II. convective air drying of sawn timber, Holz als Roh- und Werkstoff 60:72–80.10.1007/s00107-001-0266-9Suche in Google Scholar

Svensson, S., Toratti, T. (2002) Mechanical response of wood perpendicular to grain when subjected to changes of humidity. Wood Sci. Technol. 36:145–156.10.1007/s00226-001-0130-4Suche in Google Scholar

Svensson, S., Turk, G., Hozjan, T. (2011) Predicting moisture state of timber members in a continuously varying climate. Eng. Struct. 33:3064–3070.10.1016/j.engstruct.2011.04.029Suche in Google Scholar

Toratti, T., Svensson, S. (2000) Mechano-sorptive experiments perpendicular to grain under tensile and compressive loads. Wood Sci. Technol. 34:317–326.10.1007/s002260000059Suche in Google Scholar

Tschoegl, N.W. The Phenomenological Theory of Linear Viscoelastic Behavior: An Introduction. Springer-Verlag, Berlin, Heidelberg, 1989.10.1007/978-3-642-73602-5Suche in Google Scholar

Vorobyev, A., Arnould, O., Laux, D., Longo, R., van Dijk, N.P., Gamstedt, E.K. (2016a) Characterisation of cubic oak specimens from the Vasa ship and recent wood by means of quasi-static loading and resonance ultrasound spectroscopy (RUS). Holzforschung 70:457–465.10.1515/hf-2015-0073Suche in Google Scholar

Vorobyev, A., Bjurhager, I., van Dijk, N.P., Gamstedt, E.K. (2016b) Effects of barrelling during axial compressive tests of cubic samples with isotropic, transversely isotropic and orthotropic elastic properties. Compos. Sci. Technol. 137:1–8.10.1016/j.compscitech.2016.10.015Suche in Google Scholar

Vorobyev, A., Almkvist, G., van Dijk, N.P., Gamstedt, E.K. (2017) Relations of density, polyethylene glycol treatment and moisture content with stiffness properties of Vasa oak samples. Holzforschung 71:327–335.10.1515/hf-2016-0202Suche in Google Scholar

Received: 2018-02-15
Accepted: 2018-04-23
Published Online: 2018-06-11
Published in Print: 2018-10-25

©2018 Walter de Gruyter GmbH, Berlin/Boston

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