## 2 Material and Methods
### Presentation of the Finite Element Parametrized Model
\begin{table}
\begin{tabular}{l l} \hline \hline
**Parameter** & \multicolumn{2}{c}{**Author Reference**} \\ \hline \multicolumn{3}{c}{Implant geometry} \\ \hline \multirow{4}{*}{Diameter and length} & [PERSON] et al. [7], [PERSON] et al. [17], [PERSON] et al. [18; 19], [PERSON] et al. [20], [PERSON] et al. [21], [PERSON] et al. [4], [PERSON] et al. [22], [PERSON] et al. [23], [PERSON] et al. [24], [PERSON] et al. [25; 26], [PERSON] et al. [27], [PERSON] et al. [28], [PERSON] et al. [29], [PERSON] et al. [30], [PERSON] et al. [31], [PERSON] et al. [32], [PERSON] et al., [PERSON] et al. [33], [PERSON] et al., [34], [PERSON] et al. [35] \\ \hline \multirow{3}{*}{Type or taper} & [PERSON] et al. [11], [PERSON] et al. [20], [PERSON] et al. [36], [PERSON] et al. [37], [PERSON] et al. [38], [PERSON] et al. [39], [PERSON] et al. [40], [PERSON] et al. [41], [PERSON] et al. [42], [PERSON] et al. [43] \\ \hline \multirow{3}{*}{Thread} & [PERSON] et al. [6], [PERSON] et al. [13], [PERSON] et al. [18], [PERSON] et al. [23], [PERSON] et al. [25], [PERSON] et al. [28], [PERSON] et al. [44], [PERSON] et al. [45], [PERSON] et al. [46], [PERSON] et al. [47], [PERSON] et al. [48] \\ \hline \multirow{3}{*}{Depth of insertion} & [PERSON] et al. [8], [PERSON] et al. [14], [PERSON] et al. [24], [PERSON] et al. [49], [PERSON] et al. [50] \\ \hline \multirow{3}{*}{Angle of inclination} & [PERSON] et al. [9], [PERSON] et al. [35], [PERSON] et al. [44], [PERSON] et al. [51], [PERSON] et al. [52], \\ \hline \multicolumn{3}{c}{**Bone geometry**} \\ \hline \multirow{3}{*}{Cortical thickness} & [PERSON] et al. [7], [PERSON] et al. [11], [PERSON] et al. [12], [PERSON] et al. [17], [PERSON] et al. [21], [PERSON] et al. [33], [PERSON] et al. [37], [PERSON] et al. [39], [PERSON] et al. [53], [PERSON] et al. [54], [PERSON] et al. [55], [PERSON] et al. [56] \\ \hline \multicolumn{3}{c}{**Materials**} \\ \hline \multirow{3}{*}{Bone parts} & [PERSON] et al. [7], [PERSON] et al. [8], [PERSON] et al. [13], [PERSON] et al. [33], [PERSON] et al. [39], [PERSON] et al. [53], [PERSON] et al. [54], [PERSON] et al. [56], [PERSON] et al. [57], [PERSON] et al. [58], [PERSON] et al. [59], \\ \hline Implant parts & [PERSON] et al. [14], [PERSON] [15] \\ \hline \multicolumn{3}{c}{**Others**} \\ \hline \multirow{3}{*}{Interaction and contact} & [PERSON] et al. [11], [PERSON] et al. [14], [PERSON] et al. [16], [PERSON] et al. [20], [PERSON] et al. [54], [PERSON] et al. [60], [PERSON] et al. [61], [PERSON] et al. [62] \\ \hline \multirow{3}{*}{Loading conditions} & [PERSON] et al. [17], [PERSON] et al. [20], [PERSON] et al. [24], [PERSON] et al. [25], [PERSON] et al. [31], [PERSON] et al. [36], [PERSON] et al. [39], [PERSON] et al. [42], [PERSON] et al. [56], [PERSON] et al. [60], [PERSON] et al. [63], [PERSON] et al. [64] \\ \hline \hline \end{tabular}
\end{table} 
Table 1: Summary of the literature. with a 0.1-mm average mesh size for a 300,000 tetrahedral average number of elements per model. To finish, boundary conditions, load and materials are set up. The elastic behaviour of the assigned materials is summarized in Table 2. Tied contact is adopted for each interaction. The cross-sectional surfaces of cortical bone and cancellous bone are embedded. A force of 120 N is applied on the top surface of the abutment; see Figure 1a. Whatever the configuration of the model, the direction of the load corresponds to the axis of the implant when it is not inclined.