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Official Journal of the Japan Wood Research Society

Table 1 Material parameters used

From: Analysis of drying stresses in green-glued plywood of Bete (Mansonia Altissima) specie

Designation

Parameters along orthotropic directions

Observations

1

Elastic properties (12%)

EL (MPa)

GLT (MPa)

νLT = 0.46

ET (MPa)

GTR (MPa)

νTR = 0.39

ER = 1846 MPa

GLR (MPa)

νLR = 0.39

EL and ET were determined experimentally. The other elastic properties were obtained from the literature [16, 22]

2

Failure strengths

\({\sigma}_{\text{RL}}\) (MPa)

\({\sigma}_{\text{RT}}\) (MPa)

 

σRL and σRT were obtained experimentally

3

Total shrinkage coefficient

αL = 0.001

αT (%)

αR (%)

αT and αR were determined experimentally. αL was given by the literature

4

Density of wood (Bete) (12%)

   

This value was determined experimentally

5

Compliances of mechano-sorptive creep (MPa−1)

\({m}_{L}\text{=0.1 }{10}^{-3}\)

\({m}_{\text{LT}}=0.008\)

\({\mu}_{\text{LT}}= \text{0}\)

\({m}_{T}\text{=0.15}\)

\({m}_{\text{RT}}\text{=0.8}\)

\({\mu}_{\text{RT}}= \text{1 }\)

\({m}_{R}\text{=0.2}\)

\({m}_{\text{LR}}\text{=0.008 }{10}^{-3}\)

\({\mu}_{\text{LR}}= \text{0}\)

Obtained in the literature [13, 23]

mi = compliance in the direction i

mij = compliance in the plan ij

with \(i, j \epsilon \left\{\mathrm{L},\mathrm{T},\mathrm{ R}\right\}\): direction of wood

\(\bar m = {\rm{ }}\left[ {\begin{array}{*{20}{l}} {\begin{array}{*{20}{c}} {{m_L}}&{ - {\mu _{\rm LT}}{m_L}}&{ - {\mu _{\rm LR}}{m_L}}\\ { - {\mu _{\rm TL}}{m_T}}&{{m_T}}&{ - {\mu _{\rm TR}}{m_T}}\\ { - {\mu _{\rm RL}}{m_R}}&{ - {\mu _{\rm RT}}{m_r}}&{{m_R}} \end{array}}&{\begin{array}{*{20}{c}} 0&0&0\\ 0&0&0\\ 0&0&0 \end{array}}\\ {\begin{array}{*{20}{c}} 0&0&0\\ 0&0&0\\ 0&0&0 \end{array}}&{\begin{array}{*{20}{c}} {{m_{\rm TR}}}&0&0\\ 0&{{m_{\rm LR}}}&0\\ 0&0&{{m_{\rm LT}}} \end{array}} \end{array}} \right]{\rm{ }}\)

6

Diffusion (KD) and exchange coefficients (KC)

\({{K}}_{D}\) (m2/s)

KC (m/s)

These parameters were determined experimentally

7

Viscosity parameters

\({\gamma }_{1}^{l}\)

\({\gamma }_{2}^{l}\)

\({\gamma }_{3}^{l}\)

\({\left({\alpha }_{1}^{l}\right)}^{-1}\) (hours)

\({\left({\alpha }_{2}^{l}\right)}^{-1}\) (hours)

\({\left({\alpha }_{3}^{l}\right)}^{-1}\) (hours)

\({\gamma }_{\mu }^{l}={\gamma }_{\mu }^{t}={\gamma }_{\mu }^{r}\)

\({\alpha }_{\mu }^{l}= {\alpha }_{\mu }^{t}= {\alpha }_{\mu }^{r}\)

\(with {\gamma }_{\mu }^{i}=\frac{{E}_{0}^{i}}{{E}_{\mu }^{i}} and\)

\({\alpha }_{\mu }^{i}=\frac{{E}_{\mu }^{i}}{{}} ( {s}^{-1})\)

These parameters were obtained by fitting the models and numerical curves to that resulting from the experiment

With \(\epsilon \left\{\mathrm{1,2}, 3\right\}\): number of branches and \(i \epsilon \left\{L,T, R\right\}\): direction of wood