Table 2 Mesh convergence analysis of the finite element models

Bone mesh size (mm)

1.8

2

2.2

2.4

2.6

2.8

Implant mesh size (mm)

0.4

0.5

0.6

0.7

0.8

0.9

Number of elements (bone)

394,567

283,144

211,575

162,570

130,294

105,606

Number of elements (implants)

927,049

476,396

279,679

176,629

118,313

83,809

Analysis time (min)

113

90

42

44

29

15

Maximum von Mises stress of the bone (mPa)

13.521

12.314

12.47

12.154

12.585

13.44

von Mises stress change rate (bone)

− 9.80%

1.25%

− 2.60%

3.42%

6.36%

–

Maximum von Mises stress of the implants (mPa)

99.186

102.14

101.33

96.872

100.58

95.029

von Mises stress change rate (implants)

2.89%

− 0.80%

− 4.60%

3.69%

− 5.84%

–