## 4 Conclusions  
The Norton-Bailey power law model was implemented to predict the long-term deformation of WPC lumber in flexure. \begin{table}
\begin{tabular}{c c c c c c c c c c} \hline \hline \multirow{3}{*}{**Time (Years)**} & \multicolumn{6}{c}{**Number of Elements of the Structure**} \\ \cline{2-10}  & \multicolumn{3}{c}{**t = 0.125 Day**} & \multicolumn{3}{c}{**t = 1 Day**} \\ \cline{2-10}  & \multicolumn{3}{c}{**2676**} & \multicolumn{3}{c}{**2676**} & \multicolumn{3}{c}{**5100**} & \multicolumn{3}{c}{**12,876**} & \multicolumn{3}{c}{**51,552**} \\ \cline{2-10}  & \(\sigma\) & \(\epsilon\) & \(\sigma\) & \(\epsilon\) & \(\sigma\) & \(\epsilon\) & \(\sigma\) & \(\epsilon\) & \(\sigma\) & \(\epsilon\) \\ \hline
0 & 6.47 & 1.53 & 6.40 & 1.47 & 6.52 & 1.50 & 6.61 & 1.52 & 6.65 & 1.53 \\
0.125 & 6.34 & 1.65 & 6.27 & 1.59 & 6.37 & 1.62 & 6.45 & 1.64 & 6.49 & 1.65 \\
0.25 & 6.30 & 1.69 & 6.24 & 1.62 & 6.34 & 1.65 & 6.41 & 1.68 & 6.45 & 1.69 \\
0.5 & 6.26 & 1.72 & 6.20 & 1.66 & 6.30 & 1.70 & 6.37 & 1.72 & 6.40 & 1.73 \\
1 & 6.22 & 1.78 & 6.16 & 1.76 & 6.25 & 1.74 & 6.32 & 1.76 & 6.35 & 1.78 \\
1.5 & 6.19 & 1.80 & 6.13 & 1.73 & 6.22 & 1.77 & 6.29 & 1.79 & 6.31 & 1.81 \\
2 & 6.17 & 1.82 & 6.16 & 1.76 & 6.20 & 1.79 & 6.27 & 1.82 & 6.28 & 1.83 \\
5 & 6.05 & 1.90 & 6.04 & 1.83 & 6.12 & 1.87 & 6.19 & 1.90 & 6.27 & 1.91 \\
10 & 5.99 & 1.98 & 5.98 & 1.91 & 6.05 & 1.94 & 6.21 & 1.97 & 6.26 & 1.99 \\ \hline \hline \end{tabular}
\end{table} 
Table 2: Convergence study of the total number of elements (at two different time increments t) of the structure based on the long-term axial strain (\(\epsilon\)) and the axial stress (\(\sigma\)) at the strut adjacent to the hanging point as shown in Figure 4C at given time values. Units of axial stress are MPa and the units of strain are (mm/mm \(\times\) 10\({}^{-3}\)). Figure 5: Ten-year (3650 days) time-dependent axial strain of the WPC strut adjacent to the hanging position of the cage structure. \begin{table}
\begin{tabular}{c c} \hline \hline
**Strain Year Interval** & **Axial Strain Rate Value (mm/mm \(\times\) 10\({}^{-3}\))** \\ \hline \(\epsilon\)1 year–\(\epsilon\)1 day & 0.20 \\ \(\epsilon\)2 year–\(\epsilon\)1 year & 0.10 \\ \(\epsilon\)5 year–\(\epsilon\)4 year & 0.10 \\ \(\epsilon\)10 year–\(\epsilon\)9 year & 0.10 \\ \hline \hline \end{tabular}
\end{table} 
Table 3: Long-term axial strain rate (at the strut adjacent to the hanging point as shown in Figure 4C at four time intervals. FEA was used to conduct the time-dependent structural analysis of an aquacultural geodesic spherical rigid frame structure made from WPC lumber. The WPC lumber shows potential to be used in structural applications because of its relatively low creep strain during the service life. This study enabled envisioning the long-term deformation of structures during their service life, based on the experimental time-dependent deformation of the material that form the structures. The stress intendency of the Norton-Bailey parameters is very beneficial to model structures under a level of stress differs from the stress levels applied experimentally on the material to obtain the parameters. The Norton-Bailey parameters are temperature and moisture dependent. Thus, the temperature and moisture conditions used in the experiments to obtain the Norton-Bailey parameters, must be as same as the temperature and moisture conditions that the structure is exposed to during its service life. This explains the consistency behind modeling the geodesic spherical cage in four-point hanging position (dry) based on the 200-day creep experiment in dry conditions. Conceptualization, the first author M.A.A.A. and the second author D.J.G. ; methodology, M.A.A.A. ; software, M.A.A.A. ; validation, M.A.A.A., D.J.G. and the third author R.A.L.-A. ; formal analysis, M.A.A.A. ; investigation, M.A.A.A. and D.J.G. ; resources, D.J.G. ; data curation, M.A.A.A. ; writing--Original draft preparation, M.A.A.A. ; writing--Review and editing, M.A.A.A., D.J.G., and R.A.L.-A. ; visualization, M.A.A.A., D.J.G. and R.A.L.-A.