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Characterisation of the bending stiffness components of MDF panels from full-field slope measurements

Abstract

This paper deals with the characterisation of bending stiffness components of medium density fibreboard (MDF) by carrying out a single plate bending test. The approach couples full-field slope measurements with an inverse identification method. MDF panels manufactured with different fractions of Eucalyptus fibres and sugarcane bagasse particles were used. The slope maps generated across the plate surface were measured by the deflectometry technique. The curvature fields of the deformed plate were reconstructed by numerical differentiation afterwards. The virtual fields method was then implemented for material parameter identification under the framework of Kirchhoff–Love plate bending theory. The elastic properties obtained from the proposed data reduction (i.e. simultaneous identification of modulus of elasticity, Poisson’s ratio and shear modulus) were compared with values determined from classical three-point bending tests and reported in the literature. The set of properties were found in relatively good agreement.

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References

  • Avril S, Grédiac M, Pierron F (2004) Sensitivity of the virtual fields method to noisy data. Comput Mech 34(6):439–452

    Article  Google Scholar 

  • Avril S, Bonnet M, Bretelle AS, Grédiac M, Hild F, Ienny P, Latourte F, Lemosse D, Pagano S, Pagnacco E, Pierron F (2008) Overview of identification methods of mechanical parameters based on full-field measurements. Exp Mech 48(4):381–402

    Article  Google Scholar 

  • Belini U, Tomazello Filho M, Louzada J, Rodrigues J, Astolphi J (2012) Pilot study for MDF manufacture from sugarcane bagasse and Eucalyptus fibers. Eur J Wood Prod 70(4):537–539

    Article  CAS  Google Scholar 

  • EN 310 (1993) Wood-based panels, determination of modulus of elasticity in bending and bending strength. European Committee for Standardization, Brussels, Belgium

  • Ghiglia D, Pritt M (1998) Two-dimensional phase unwrapping: theory, algorithms, and software. Wiley, USA

    Google Scholar 

  • Grédiac M (2004) The use of full-field measurement methods in composite material characterization: interest and limitations. Compos A Appl Sci Manuf 35(7–8):751–761

    Article  Google Scholar 

  • Grédiac M, Toussaint E, Pierron F (2003) Special virtual fields for the direct determination of material parameters with the virtual fields method. 3- Application to the bending rigidities of anisotropic plates. Int J Solids Struct 40(10):2401–2419

    Article  Google Scholar 

  • Grédiac M, Pierron F, Avril S, Toussaint E (2006) The virtual fields method for extracting constitutive parameters from full-field measurements: a review. Strain 42(4):233–253

    Article  Google Scholar 

  • Kim JH (2008) Identification of the local stiffness reduction of damaged composite plates using the virtual fields method. PhD thesis, Art et Métiers ParisTech Châlons-en-Champagne, France

  • Kim JH, Pierron F, Grédiac M, Wisnom M (2007) A procedure for producing reflective coatings on plates to be used for full-field slope measurements by a deflectometry technique. Strain 43(2):138–144

    Article  Google Scholar 

  • Machado J, Cruz H (2005) Within stem variation of maritime pine timber mechanical properties. Holz Roh Werkst 63(2):154–159

    Article  Google Scholar 

  • Moboru S, Taeko S (2004) Poisson’s ratio of wood-based panels and Poisson’s effect of hygroscopic linear expansion under a uniaxially dimensional restraint. J Soc Mat Sci 53(4):396–401

    Article  Google Scholar 

  • Müller U, Sretenovi A, Vincenti A, Gindl W (2005) Direct measurement of strain distribution along a wood bond line. Part 1: shear strain concentration in a lap joint specimen by means of electronic speckle pattern interferometry. Holzforschung 59(3):300–306

    Article  Google Scholar 

  • Pierron F (2009) A novel method for measuring the through-thickness shear moduli of anisotropic plates from surface deformation measurements. Compos A Appl Sci Manuf 40(12):1815–1825

    Article  Google Scholar 

  • Pierron F, Grédiac M (2012) The virtual fields method. Springer, New York

    Book  Google Scholar 

  • Surrel Y (1999) Fringe analysis. In: Rastogi P (ed) Photomechanics (topics in applied physics). Springer, Berlin, pp 57–104

    Google Scholar 

  • Surrel Y (2002) Some metrological issues in optical full-field techniques. Proc SPIE 4777:220–231

    Article  Google Scholar 

  • Surrel Y (2004) Deflectometry: a simple and efficient noninterferometric method for slope measurement. In: Xth SEM International congress on experimental mechanics, society for experimental mechanics, 7–10 June in Costa Mesa, California, USA

  • Syed-Muhammad K, Toussaint E, Grédiac M, Avril S, Kim J (2008) Characterization of composite plates using the virtual fields method with optimized loading conditions. Compos Struct 85(1):7082

    Article  Google Scholar 

  • Williamson TG (2002) APA engineered wood handbook. McGraw-Hill, USA

    Google Scholar 

  • Xavier J, Avril S, Pierron F, Morais J (2009) Variation of transverse and shear stiffness properties of wood in a tree. Compos A Appl Sci Manuf 40:1953–1960

    Article  Google Scholar 

  • Xavier J, de Jesus A, Morais J, Pinto J (2012) Stereovision measurements on evaluating the modulus of elasticity of wood by compression tests parallel to the grain. Constr Build Mater 26(1):207–215

    Article  Google Scholar 

  • Zhou C, Dai C, Smith G (2011) Modeling vertical density profile formation for strand-based wood composites during hot pressing: part 2. Experimental investigations and model validation. Compos B Eng 42(6):1357–1365

    Article  Google Scholar 

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Acknowledgments

The authors would like to acknowledge the São Paulo Research Foundation (FAPESP), the programs CAPES-GRICES and Ciência 2008 of the Foundation of Science and Technology of Portugal (FCT) for financial support. We also thank São Manoel Sugar Factory S.A. (Brasil) for support in the MDF manufacturing process. Finally, we thank Joaquim Moura and Cristóvão Santos for helping in the plate bending fixture set-up.

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Xavier, J., Belini, U., Pierron, F. et al. Characterisation of the bending stiffness components of MDF panels from full-field slope measurements. Wood Sci Technol 47, 423–441 (2013). https://doi.org/10.1007/s00226-012-0507-6

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Keywords

  • Urea Formaldehyde Resin
  • Electronic Speckle Pattern Interferometry
  • Medium Density Fibreboard
  • Curvature Field
  • Virtual Field