Skip to main content
Log in

Finite element analysis of stress-related degrade during drying of Corymbia citriodora and Eucalyptus obliqua

  • Original
  • Published:
Wood Science and Technology Aims and scope Submit manuscript

Abstract

With the use of experimental wood properties and input moisture content field data, a predictive 3D stress–strain finite element analysis (FEA) model was developed allowing to predict the development of stress-related end splitting and surface checking degrade during conventional and vacuum wood drying. Simulations were carried out for two Australian hardwood species, messmate (Eucalyptus obliqua) and spotted gum (Corymbia citriodora), as these species contrast, in terms of wood properties, drying rates and stress degrade susceptibility. The simulations were performed using a 1/8 symmetry model where the full board dimensions are 1900 mm long × 30 mm thick × 100 mm wide. Moisture content field data model simulations were utilised in a three-dimensional FEA model by extruding a 2D moisture content field computed in the TL plane across the radial direction to create a 3D model. Material mechanical properties and shrinkage were calculated in relation to moisture content, over discrete time intervals, using a quasi-static solver. End split failure was investigated at the board end, and surface check failure at the board surface, using a Tsai–Wu failure criterion. Simulations showed that messmate was more susceptible to end splitting than spotted gum and that conventionally dried messmate was more susceptible to surface checking than vacuum-dried messmate. The same results were observed from drying trials. The locations of predicted surface check failure also matched drying trials and are compared.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8

Similar content being viewed by others

References

  • AS/NZS:4787 (2001) Timber-assessment of drying quality. Standards Australia. www.standards.com.au

  • Bootle KR (2005) Wood in Australia—types, properties and uses, 2nd edn. McGraw Hill, Sydney

    Google Scholar 

  • Brandao A, Perré P (1996) The “flying wood”—a quick test to characterise the drying behaviour of tropical woods. In: 5th International IUFRO wood drying conference, Quebec, Canada, pp 315–321

  • Cabrero JM, Kifle G, Gebremedhin G (2010) Evaluation of failure criteria in wood members. Paper presented at the 11th world conference on timber engineering 2010 (WCTE 2010), Trentino, Italy

  • Carr EJ, Turner IW, Perre P (2013a) A variable-stepsize Jacobian-free exponential integrator for simulating transport in heterogeneous porous media: application to wood drying. J Comput Phys 233:66–82

    Article  Google Scholar 

  • Carr EJ, Turner IW, Perre P (2013b) A dual-scale modeling approach for drying hygroscopic porous media. Multiscale Model Simul 11(1):362–384

    Article  Google Scholar 

  • Dahlblom O, Ormarsson S, Petersson H (1996) Simulation of wood deformation processes in drying and other types of environmental loading. Ann For Sci 53:857–866

    Article  Google Scholar 

  • Ekevad M, Salin J-G, Grundberg S, Nyström J, Grönlund A (2006) Modelling of adequate pretwist for obtaining straight timber. Wood Mater Sci Eng 1(2):76–84

    Article  Google Scholar 

  • Ekevad M, Lundgren N, Flodin J (2011) Drying shrinkage of sawn timber of Norway spruce (Picea abies): industrial measurements and finite element simulations. Wood Mater Sci Eng 6:41–48

    Article  CAS  Google Scholar 

  • Fernandez-Golfin JI, Alvarez Noves H (1996) Kiln and continuous vacuum drying of Eucalyptus globulus, Oak and Chestnut 27 and 50 mm thick boards. In: 5th international IUFRO wood drying conference, Quebec City, Canada, pp 185–190

  • Guitard D, El Amri F (1987) Modèles prévisionnels de comportement élastique tridimensionnel pour les bois feuillus et les bois résineux. Ann For Sci 44:335–358

    Article  Google Scholar 

  • Haque MN (2002) Modelling of solar kilns and the development of an optimised schedule for drying hardwood timber. University of Sydney, Camperdown

    Google Scholar 

  • Innes TC (1996) Collapse and internal checking in the latewood of Eucalyptus regnans F. Muell. Wood Sci Technol 30:373–383

    Article  CAS  Google Scholar 

  • Innes T, Redman AL (2005) Improvement of hardwood drying schedules. www.fwpa.com.au

  • Kretschmann DE (2010) Mechanical properties of wood. In: Agriculture USDo (ed) Wood handbook—wood as an engineering material. Forest Products Laboratory, USDA, Madison

    Google Scholar 

  • Lin J, Cloutier A (1996) Finite element modelling of the viscoelastic behaviour of wood during drying. In: 5th international IUFRO wood drying conference, Quebec, Canada, pp 117–122

  • Mårtensson A, Svensson S (1997) Stress–strain relationship of drying wood. Part 1: development of a constitutive model. Holzforschung 51:472–478

    Article  Google Scholar 

  • Mascia NT, Simoni RA (2013) Analysis of failure criteria applied to wood. Eng Fail Anal 35:703–712

    Article  Google Scholar 

  • Möttönen V (2006) Varition in drying behaviour and final moisture content of wood during conventional low temperature drying and vacuum drying of Betula pendula Timber. Dry Technol 24:1405–1413

    Article  Google Scholar 

  • Nolan G, Innes TC, Redman AL, McGavin R (2003) Australian hardwood drying best practice manual. Forest and Wood Products Research and Development Corporation. www.fwpa.com.au

  • Perré P (1996) The numerical modelling of physical and mechanical phenomena involved in wood drying: an excellent tool for assisting with the study of new processes. In: 5th international IUFRO wood drying conference, Quebec, Canada, pp 11–38

  • Perré P (2007a) Fundamentals of wood drying. A.R.BO.LOR, Nancy

    Google Scholar 

  • Perré P (2007b) Multiscale aspects of heat and mass transfer during drying. Transp Porous Media 66:59–76

    Article  Google Scholar 

  • Perré P (2010) Multiscale modeling of drying as a powerful extension of the macroscopic approach: application to solid wood and biomass processing. Dry Technol 28:944–959

    Article  Google Scholar 

  • Perré P, Passard J (2004) A physical and mechanical model able to predict the stress field in wood over a wide range of drying conditions. Dry Technol 22:24–44

    Article  Google Scholar 

  • Perré P, Turner IW (1999a) A 3-D version of TransPore: a comprehensive heat and mass transfer computational model for simulating the drying of porous media. Int J Heat Mass Transf 42:4501–4521

    Article  Google Scholar 

  • Perré P, Turner IW (1999b) Transpore: a generic heat and mass transfer computational model for understanding and visualising the drying of porous media. Dry Technol 17:1273–1289

    Article  Google Scholar 

  • Redman AL, Bailleres H, Perré P (2011) Characterization of viscoelastic, shrinkage and transverse anatomy properties of four Australian hardwood species. Wood Mater Sci Eng 6:95–104

    Article  Google Scholar 

  • Redman AL, Bailleres H, Turner I, Perré P (2012) Mass transfer properties (permeability and mass diffusivity) of four Australian hardwood species. BioResources 7:3410–3424

    Google Scholar 

  • Redman AL, Bailleres H, Turner I, Perré P (2016) Characterisation of wood–water relationships and transverse anatomy and their relationship to drying degrade. Wood Sci Technol 50:739–757

    Article  CAS  Google Scholar 

  • Redman AL, Bailleres H, Perré P, Carr E, Turner I (2017) A relevant and robust vacuum-drying model applied to hardwoods. Wood Sci Technol 51:701–719

    Article  CAS  Google Scholar 

  • Rémond R, Passard J, Perré P (2007) The effect of temperature and moisture content on the mechanical behaviour of wood: a comprehensive model applied to drying and bending. Eur J Mech A/Solids 26:558–572

    Article  Google Scholar 

  • Risbrudt CD, Ritter MA, Wegner TH (2010) Wood handbook—wood as an engineering material, Centennial Edition edn. U.S. Department of Agriculture, Forest Service, Forest Products Laboratory, Madison

    Google Scholar 

  • Rozsa A, Mills RG (1997) Index of kiln seasoning schedules. In: Waterson GC (ed) Australian timber seasoning manual, 3rd edn. Australian Furniture Research and Development Institute, Launceston, pp 167–175

    Google Scholar 

  • Salin JG (2010) Problems and solutions in wood drying modelling: history and future. Wood Mater Sci Eng 5:123–134

    Article  CAS  Google Scholar 

  • Savard M, Lavoie V, Trembala C (2004) Technical and economical assessment of superheated steam vacuum drying of Northern Red Oak. In: N.A.G.R.E.F. COST E15 conference, Athens, Greece, 22–24 April 2004. Forintek Canada Corp., pp 1–10

  • Skaar C (1988) Wood–water relations. Springer, Berlin. doi:10.1007/978-3-642-73683-4

    Book  Google Scholar 

  • Strand7 (2005) Theoretical manual—theoretical background to the Strand7 finite element analysis system, vol 1. Strand7, Sydney. doi:10.1007/978-3-642-73683-4

    Google Scholar 

  • Tsai SW (1992) Theory of composites design. Think Composites, Palmetto

    Google Scholar 

  • Tsai SW, Wu EM (1971) A general theory of strength for anisotropic materials. J Compos Mater 5:58–80

    Article  Google Scholar 

  • Wang SJ, Chui CM, Lin CJ (2002) Variations in ultrasonic wave velocity and dynamic Young’s modulus with moisture content for Taiwana plantation lumber. Wood Fiber Sci 34:370–381

    CAS  Google Scholar 

Download references

Acknowledgements

The substantial contributions of CentraleSupelec, Université Paris-Saclay, Queensland University of Technology (QUT), Griffith University, Forest and Wood Products Australia (FWPA) and the Queensland Government Department of Agriculture and Fisheries (DAF), to the successful undertaking of this collaborative project are gratefully acknowledged. Authors Turner and Carr wish to acknowledge that this research was partially supported by the Australian Research Council (ARC) via the Discovery Project DP150103675 and DECRA Project DE150101137, respectively.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Adam L. Redman.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Redman, A.L., Bailleres, H., Gilbert, B.P. et al. Finite element analysis of stress-related degrade during drying of Corymbia citriodora and Eucalyptus obliqua . Wood Sci Technol 52, 67–89 (2018). https://doi.org/10.1007/s00226-017-0955-0

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00226-017-0955-0

Navigation