## 4 Discussion  
This study tested the null hypothesis that there were no differences in the stress distribution on the root using different post materials: the PEEK material post or the high noble alloy post. The results showed that the tested null hypothesis should be accepted because the PEEK post material was similar to the high noble alloy post material in stress distribution and von Mises and principal stresses. Figure 5: Lingual and proximal views of von Mises and principal stress values using high noble alloy material. Figure 6: Total displacement and overall stress values using high noble alloy material. \begin{table}
\begin{tabular}{c c c c c c} \hline \hline  & & \multicolumn{4}{c}{**Stresses**} \\ \hline
**Component** & **Material** & **Strength** & **Von Mises** & **Principal** & **FOS** \\  & & **(MPa)** & **(MPa)** & **Stress (MPa)** & **FOS** \\ \hline Root & Dentin & 86 & 31.77 & 43.82 & 1.96 \\ \hline Post & PEEK & 192 & 19.08 & 0.6456 & 10.01 \\ \hline Crown & Zirconia & 1100 & 79.47 & 50.53 & 13.84 \\ \hline Bone & & & 199.4 & 225.2 & \\ \hline  & & & \
\begin{tabular}{c} Displacement \\ (um) \\ \end{tabular} & 4.925 & \\ \hline Root & Dentin & 86 & 29.98 & 42.63 & 2.02 \\ \hline Post & High Alloy & 310 & 18.35 & 13.41 & 16.89 \\ \hline Crown & Zirconia & 1100 & 66.18 & 42.01 & 16.62 \\ Bone & & & 190.9 & 216.5 & \\  & & &
\begin{tabular}{c} Displacement \\ (um) \\ \end{tabular} & 4.724 & \\ \hline \hline \end{tabular}
\end{table} 
Table 3: Total displacement, stresses, and FOS of the tested groups. We found the following key outcomes based on the studies mentioned earlier compared to our methodology. [PERSON] et al. used FEA with contact elements to explore the effects of the ferrule, length of cast, and FRC posts on the stresses on anterior teeth in a study. For instance, 120,000 elements were used for each of the thirteen tooth models, with 150,000 nodes connecting them [23]. Compared to our study, the number of elements and nodes enrolled in our study, 265,325 and 504,203, respectively, were higher than the inputs in [PERSON]'s study [23]. Moreover, that study used two types of posts: cast nickel chrome (NiCr) and glass fiber posts with composite core build-up and crowns made of leucite ceramic cemented with luting resin cement. In contrast, in our study, we used posts of high noble alloy and PEEK materials luted with resin cement. The result of that study showed that there were minimal tensile stresses around ferrule posts in the teeth. Moreover, it was concluded that teeth restored with cast posts have lower von Mises stresses than teeth restored with FRC posts. Regardless of the post material, the von Mises stresses in teeth with varying lengths of posts were identical. Accordingly, our study results show increased stresses on the bone and the root using the PEEK post compared to the high noble alloy. As for the FOS, it was reduced from 16 to 10 when using the PEEK post. In a study by [PERSON] et al., they applied their model bone, and the number of elements and nodes was much smaller than in the current study. They used a gold-cast post and core and fiber posts only and a metal-ceramic crown, and they did not show the FOS in their study [20]. In our study, we used a PEEK material and zirconia crown in the tested model, and the FOS was demonstrated in our study. A previous study used gold post and core and Ni-Cr post and core and metal-ceramic restorations and a stainless-steel post, titanium post, carbon fiber post, glass fiber post, and quartz fiber post with composite cores restored with metal-ceramic restorations (MCRs). The third group included a zirconia post and core restored with all-ceramic restorations (ACRs), zirconia post, carbon fiber post, glass fiber post, and quartz fiber post with composite cores and ACRs. Meanwhile, PEEK was not simulated in the model. The finite element meshes were composed of nearly 4300 elements and 6000 nodes. That study showed the von Mises stresses but did not mention the FOS of the tested model [21].