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Hygromechanical behaviour of a wooden panel
Cécilia Gauvin, Delphine Jullien, Joseph Gril
To cite this version:
Cécilia Gauvin, Delphine Jullien, Joseph Gril. Hygromechanical behaviour of a wooden panel. Wood and Science Technology conference, Oct 2014, Maastricht, Netherlands. 2014. �hal-01769737�
Hygromechanical behaviour of a wooden panel
Cécilia Gauvin, Delphine Jullien, Joseph Gril
Laboratoire de Mécanique et de Génie Civil (LMGC) CNRS UMR 5508, Université Montpellier 2, France
cecilia.gauvin@univ-‐montp2.fr
Numerical simulaLons
Experimental results
Material and Method Introduc<on
W ooden panel painLngs from cultural heritage are excellent cases of study for an engineer. They are witness of ancient Lmes and pracLces, and may provide keys to the understanding of long term behaviour of wooden structures [1,2]. A parLcularity of these objects is the permanent cupping of the panel. It seems to appear whatever the orientaLon of the panel cuYng (quatersawn or flatsawn) and the posiLon of the paint layer.
References:
[1] Colmars, J., (2011) Hygromécanique du matériau bois appliquée à la conserva8on du patrimoine culturel: étude sur la courbure des panneaux peints. PhD thesis, Montpellier 2 University (in
French).
[2] Marcon, B., (2009) Hygromécanique des panneaux en bois et conserva8on du patrimoine culturel. PhD thesis, Montpellier 2 University, Università degli studi di Firenze (in French).
[3] Perré P. and Turner I. W. (1999) A 3-‐D version of TransPore: a comprehensive heat and mass transfer computaLonal model for simulaLng the drying of porous media, InternaLonal Journal of Heat and Mass Transfer, vol. 42, no. 24, pp. 4501-‐4521.
Fig. 1: Digital image correlaLon technics -‐ Track marking with
conLnuous weighLng
Panel mock-‐up
Mass balance
Zc2 Xc2
Yc2 2
1
3
Zc1 Xc1 Yc1
Fig. 2: RelaLve Humidity (RH) set over the Lme
Fig. 3: Mean Moisture Content (MC) over the Lme (%) due to Fig. 2 hygro-‐loading
(a) (b)
(c)
(d)
(e) (f)
E11
! VerLcal strain (E22) and shear (E12) are negligible compared to the horizontal strain (E11)
Mechanical simula<on : weAng
GIBI FECIT
EPXX
>−1.92E−03
< 9.61E−03
−5.00E−03
−2.46E−03 7.69E−05 2.62E−03 5.15E−03 7.69E−03 1.02E−02 1.28E−02 1.53E−02 1.78E−02 2.04E−02 2.29E−02 2.55E−02 2.80E−02
AMPLITUDE DEFORMEE 5.0
GIBI FECIT
EPXX
> 5.74E−03
< 1.73E−02
−5.00E−03
−2.46E−03 7.69E−05 2.62E−03 5.15E−03 7.69E−03 1.02E−02 1.28E−02 1.53E−02 1.78E−02 2.04E−02 2.29E−02 2.55E−02 2.80E−02
AMPLITUDE DEFORMEE 5.0
GIBI FECIT
EPXX
> 1.53E−02
< 1.54E−02
−5.00E−03
−2.46E−03 7.69E−05 2.62E−03 5.15E−03 7.69E−03 1.02E−02 1.28E−02 1.53E−02 1.78E−02 2.04E−02 2.29E−02 2.55E−02 2.80E−02
AMPLITUDE DEFORMEE 5.0
Q uar te rsaw n
GIBI FECIT
AMPLITUDE
0.0 5.0
GIBI FECIT
AMPLITUDE
0.0 5.0
GIBI FECIT
AMPLITUDE
0.0 5.0
mc = 5%
mc = 0%
mc = 10%
mc = 5%
mc = 10%
mc = 10%
Moisture content
Painted face
GIBI FECIT GIBI FECIT
EPXX
> 9.36E−03
< 3.06E−02
−5.00E−03
−2.46E−03 7.69E−05 2.62E−03 5.15E−03 7.69E−03 1.02E−02 1.28E−02 1.53E−02 1.78E−02 2.04E−02 2.29E−02 2.55E−02 2.80E−02
AMPLITUDE DEFORMEE 5.0 GIBI FECIT
EPXX
>−3.56E−03
< 1.69E−02
−5.00E−03
−2.46E−03 7.69E−05 2.62E−03 5.15E−03 7.69E−03 1.02E−02 1.28E−02 1.53E−02 1.78E−02 2.04E−02 2.29E−02 2.55E−02 2.80E−02
AMPLITUDE DEFORMEE
5.0
Flats aw n
GIBI FECIT
AMPLITUDE
0.0 5.0
GIBI FECIT
AMPLITUDE
0.0 5.0
GIBI FECIT
AMPLITUDE
0.0 5.0
Displacement Strain
Hygroscopic loading mc = 5%
mc = 0%
mc = 10%
mc = 5%
mc = 10%
mc = 10%
Moisture content
Painted face
Fig. 6: Board with one painted face submimed to an increase of moisture content. Displacement and strain of the cross secLon
GIBI FECIT
EPXX
>−1.92E−03
< 9.61E−03
−5.00E−03
−2.46E−03 7.69E−05
2.62E−03
5.15E−03
7.69E−03
1.02E−02
1.28E−02
1.53E−02
1.78E−02
2.04E−02
2.29E−02
2.55E−02
2.80E−02
AMPLITUDE DEFORMEE
5.0
Max: 0.96%
1.7%
1.5%
-‐0.36%
0.94%
2.5% 2.7%
-‐0.5 -‐0.25 0.008 0.26 0.51 0.77 1.0 1.3 1.5 1.8 2.0
2.3 2.5 2.8
! DrasLc weYng:
" compressive strain on the painted face " Tension strain on the back face
(d’)
0.57%
1.5%
1.7%
3.1%
Mark range in X (b): 6h Mark range in X (c): 20h Mark range in X
(a): 0h
(d): 49h (e): 223h (f): 321h
Fig. 4: Horizontal strain (E11) of the surface of the panel with four coated lateral faces, over the Lme, corresponding to Fig. 3 points
Mass transfer simula<on: drying
Fig. 5: Moisture content distribuLon into the cross secLon of a panel with four coated lateral faces, obtained by mass transfer simulaLon
using the sooware Transpore [3], corresponding to Fig. 3 points
(f): 321h (e): 223h (d’): 120h (d): 49h (b): 6h T R
L
% Min: -‐0.19%
