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Licensed Unlicensed Requires Authentication Published by De Gruyter February 13, 2024

Short-term hygro-mechanical behaviour of lime wood (Tilia cordata) in principal anatomical directions

  • Daniel Konopka ORCID logo , Benjamin Grohmann , Jens Gecks , Wolfram Scheiding and Michael Kaliske ORCID logo EMAIL logo
From the journal Holzforschung

Abstract

The hygroscopic and moisture-dependent mechanical characteristics of small-leaved lime wood (Tilia cordata) were investigated experimentally. This study includes sorption, swelling and shrinkage experiments, as well as tension and compression tests in the three principal anatomical directions at four relative humidity levels. Four sample groups from trees of three different locations in Germany were used. The findings are comparable to those of earlier studies. The hygro-expansion anisotropy is relatively small. Young’s moduli at tension/compression decreased by about 52 %/64 % in radial, 19 %/48 % in tangential and 16 %/58 % in longitudinal direction for an increase of moisture content from 10 % (65 % RH) to 20 % (95 % RH). Tension strengths/compression yield stresses decreased by about 25 %/45 % in radial, 9 %/42 % in tangential, and 32 % (compression) in longitudinal direction, respectively. These parameters increased with an increasing density. Based on the mechanical tests, Young’s modulus, tension strength and compression yield stress were derived as density- and moisture-dependent material model parameters. Shear modulus and shear strength were estimated by a theoretical approach. The experimental and modelling study was accompanied by a literature survey on characteristics of lime wood relevant for hygro-mechanical material modelling.


Corresponding author: Michael Kaliske, Institute for Structural Analysis, TU Dresden, 01062 Dresden, Germany, E-mail:

Award Identifier / Grant number: 100371102

  1. Research ethics: Not applicable.

  2. Author contributions: DK conceptualised and wrote the original draft, considering contributions of BG, and did the formal analysis; DK, BG, and JG designed the methodology; BG and JG carried out the experimental investigation; WS and MK were responsible for the funding acquisition; DK, WS and MK led the project administration; all authors contributed to review & editing of the manuscript. The authors have accepted responsibility for the entire content of this manuscript and approved its submission.

  3. Competing interests: The authors state no competing interests.

  4. Research funding: This project was funded by the Saxon State Ministry of Science, Culture and Tourism with tax funds using the budget approved by the Landtag of the Free State of Saxony, Sächsische Aufbaubank [project number 100371102].

  5. Data availability: The raw data are published in the Supplementary Material to this article or can be provided upon request.

References

ASTM-E8/E8M-11 (2011). Standard test methods for tension testing of metallic materials. ASTM International, West Conshohocken.Search in Google Scholar

Avramidis, S. (1989). Evaluation of “three-variable” models for the prediction of equilibrium moisture content in wood. Wood Sci. Technol. 23: 251–258, https://doi.org/10.1007/bf00367738.Search in Google Scholar

Bachtiar, E.V., Rüggeberg, M., Hering, S., Kaliske, M., and Niemz, P. (2017a). Estimating shear properties of walnut wood: a combined experimental and theoretical approach. Mater. Struct. 50: 248, https://doi.org/10.1617/s11527-017-1119-2.Search in Google Scholar

Bachtiar, E.V., Rüggeberg, M., and Niemz, P. (2017b). Mechanical behavior of walnut (Juglans regia L.) and cherry (Prunus avium L.) wood in tension and compression in all anatomical directions. Revisiting the tensile/compressive stiffness ratios of wood. Holzforschung 72: 71–80, https://doi.org/10.1515/hf-2017-0053.Search in Google Scholar

Bachtiar, E.V., Sanabria, S.J., Mittig, J.P., and Niemz, P. (2017c). Moisture-dependent elastic characteristics of walnut and cherry wood by means of mechanical and ultrasonic test incorporating three different ultrasound data evaluation techniques. Wood Sci. Technol. 51: 47–67, https://doi.org/10.1007/s00226-016-0851-z.Search in Google Scholar

Bader, T. (2011). Mechanical properties of sound and of deteriorated softwood at different length scales: poromicromechanical modeling and experimental investigations, Ph.D. thesis. Institute for Mechanics of Materials and Structures, Technische Universität Wien.Search in Google Scholar

Bader, T., Hofstetter, K., Hellmich, C., and Eberhardsteiner, J. (2010). The poroelastic role of water in cell walls of the hierarchical composite softwood. Acta Mech. 210: 75–100, https://doi.org/10.1007/s00707-010-0368-8.Search in Google Scholar

DIN 52184 (1979). Testing of wood; determination of swelling and shrinkage. Beuth Verlag GmbH, Berlin.Search in Google Scholar

DIN 52185 (1976). Testing of wood; compression test parallel to grain. Beuth Verlag GmbH, Berlin.Search in Google Scholar

DIN 52192 (1979). Testing of wood; compression test perpendicular to grain. Beuth Verlag GmbH, Berlin.Search in Google Scholar

DIN E.N. 408 (2012). Timber structures – structural timber and glued laminated timber – determination of some physical and mechanical properties. Beuth Verlag GmbH, Berlin.Search in Google Scholar

Forest Products Laboratory (2010). Wood handbook – wood as an engineering material, General Technical Report FPL-GTR-190. USDA – United States Department of Agriculture, Madison.Search in Google Scholar

Frandsen, H.L. and Svensson, S. (2007). Implementation of sorption hysteresis in multi-Fickian moisture transport. Holzforschung 61: 693–701, https://doi.org/10.1515/hf.2007.113.Search in Google Scholar

Gebhardt, C., Konopka, D., Börner, A., Mäder, M., and Kaliske, M. (2018). Hygro-mechanical numerical investigations of a wooden panel painting from “Katharinenaltar” by Lucas Cranach the Elder. J. Cult. Herit. 29: 1–9, https://doi.org/10.1016/j.culher.2017.08.003.Search in Google Scholar

Hailwood, A.J. and Horrobin, S. (1946). Absorption of water by polymers: analysis in terms of a simple model. Trans. Faraday Soc. 42: B084–B092, https://doi.org/10.1039/tf946420b084.Search in Google Scholar

Hofstetter, K. and Gamstedt, E. (2009). Hierarchical modelling of microstructural effects on mechanical properties of wood. A review. Holzforschung 63: 130–138, https://doi.org/10.1515/hf.2009.018.Search in Google Scholar

Hofstetter, K., Hellmich, C., and Eberhardsteiner, J. (2006). Continuum micromechanics estimation of wood strength. Proc. Appl. Math. Mech. 6: 75–78, https://doi.org/10.1002/pamm.200610020.Search in Google Scholar

Jakieła, S., Bratasz, Ł., and Kozłowski, R. (2008). Numerical modelling of moisture movement and related stress field in lime wood subjected to changing climate conditions. Wood Sci. Technol. 42: 21–37, https://doi.org/10.1007/s00226-007-0138-5.Search in Google Scholar

Jenkel, C., Leichsenring, F., Graf, W., and Kaliske, M. (2015). Stochastic modelling of uncertainty in timber engineering. Eng. Struct. 99: 296–310, https://doi.org/10.1016/j.engstruct.2015.04.049.Search in Google Scholar

Knigge, W. and Schulz, H. (1966). Grundriss der Forstbenutzung. Verlag Paul Parey, Hamburg.Search in Google Scholar

Kollmann, F. (1936). Technologie des Holzes und der Holzwerkstoffe. Springer-Verlag, Berlin.Search in Google Scholar

Kollmann, F. (1982). Technologie des Holzes und der Holzwerkstoffe. Springer-Verlag, Berlin.Search in Google Scholar

Konopka, D., Gebhardt, C., and Kaliske, M. (2017). Numerical modelling of wooden structures. J. Cult. Herit. 27S: S93–S102, https://doi.org/10.1016/j.culher.2015.09.008.Search in Google Scholar

Konopka, D., Ehricht, S., and Kaliske, M. (2019). Hygro-mechanical investigations of clavichord replica at cyclic climate load: experiments and simulations. J. Cult. Herit. 36: 210–221, https://doi.org/10.1016/j.culher.2018.07.006.Search in Google Scholar

Kühnen, R. and Wagenführ, R. (2002). Werkstoffkunde Holz für Restauratoren. Seemann Verlag, Leipzig.Search in Google Scholar

Kühn, H., Roosen-Runge, H., Straub, R.E., and Koller, M. (1988). Reclams Handbuch der künstlerischen Techniken/Farbmittel, Buchmalerei, Tafel- und Leinwandmalerei. Philipp Reclam jun., Stuttgart.Search in Google Scholar

Leontiev, N.L. (1960). The strength of wood at varying moisture content (in Russian). Derevoobrab. Prom. 10: 15.Search in Google Scholar

Leontiev, N.L. (1962). Strength of wood of different moisture content (in Russian). Derevoobrab. Prom. 4: 14–15.Search in Google Scholar

Majka, J. and Olek, W. (2008). Sorption properties of mature and juvenile lime wood (Tilia sp.). Folia For. Pol., Ser. B 39: 65–75.Search in Google Scholar

Patera, A., Derluyn, H., Derome, D., and Carmeliet, J. (2016). Influence of sorption hysteresis on moisture transport in wood. Wood Sci. Technol. 50: 259–283, https://doi.org/10.1007/s00226-015-0786-9.Search in Google Scholar

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

Perkowski, Z., Świrska Perkowska, J., and Gajda, M. (2017). Comparison of moisture diffusion coefficients for pine, oak and linden wood. J. Build. Phys. 41: 135–161, https://doi.org/10.1177/1744259116673967.Search in Google Scholar

Popescu, C.-M. and Hill, C.A. (2013). The water vapour adsorption–desorption behaviour of naturally aged Tilia cordata Mill. wood. Polym. Degrad. Stab. 98: 1804–1813, https://doi.org/10.1016/j.polymdegradstab.2013.05.021.Search in Google Scholar

Popper, R. and Niemz, P. (2009). Wasserdampfsorptionsverhalten ausgewählter heimischer und überseeischer Holzarten. Bauphysik 31: 117–121, https://doi.org/10.1002/bapi.200910017.Search in Google Scholar

Rachwał, B., Bratasz, Ł., Łukomski, M., and Kozłowski, R. (2012). Response of wood supports in panel paintings subjected to changing climate conditions. Strain 48: 366–374, https://doi.org/10.1111/j.1475-1305.2011.00832.x.Search in Google Scholar

Reichel, S. (2015). Modellierung und Simulation hygro-mechanisch beanspruchter Strukturen aus Holz im Kurz- und Langzeitbereich (in German), Ph.D. thesis. Institute for Structural Analysis, Technische Universität Dresden.Search in Google Scholar

Skaar, C. (1988). Wood-water relations. Springer-Verlag, Berlin.10.1007/978-3-642-73683-4Search in Google Scholar

Sliker, A. (1988). A method for predicting non-shear compliances in the rt plane of wood. Wood Fiber Sci. 20: 44–55.Search in Google Scholar

Sliker, A. and Yu, Y. (1993). Elastic constants for hardwoods measured from plate and tension tests. Wood Fiber Sci. 25: 8–22.Search in Google Scholar

Stöcklein, J., Grajcarek, G., Konopka, D., and Kaliske, M. (2024 Submitted for publication). Hygro-mechanical long-term behaviour of spruce, pine and lime wood – parameter identification and model validation. Wood Sci. Technol..Search in Google Scholar

Vorreiter, L. (1949). Holztechnologisches Handbuch, Band 1. Verlag Georg Fromme & Co., Wien.Search in Google Scholar

Zuritz, C., Singh, R.P., Moini, S.M., and Henderson, S.M. (1979). Desorption isotherms of rough rice from 10°C to 40°C. Trans. Am. Soc. Agric. Eng. 22: 433–440.10.13031/2013.35034Search in Google Scholar


Supplementary Material

This article contains supplementary material (https://doi.org/10.1515/hf-2023-0029).


Received: 2023-03-17
Accepted: 2023-12-21
Published Online: 2024-02-13
Published in Print: 2024-03-25

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