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. 2022 Sep 29;19(19):12424. doi: 10.3390/ijerph191912424

Table 2.

Maximum stress average values (KPa) produced by orthodontic forces: a-apical; c-cervical.

Resorption (mm) 0 1 2 3 4 5 6 7 8
Intrusion Tresca a 2.50 2.91 3.31 3.72 4.13 4.81 5.49 6.17 6.85
0.5 N c 4.97 6.04 7.10 8.17 9.23 10.34 11.44 12.45 13.66
VM a 2.17 2.53 2.90 3.26 3.62 4.22 4.81 5.41 6.00
c 4.32 5.26 6.21 7.15 8.09 9.05 10.00 10.95 11.91
Pressure a −13.68 −15.86 −18.40 −20.22 −24.55 −25.93 −27.31 −28.68 −30.06
c 18.86 20.61 22.36 24.11 25.86 34.60 43.33 52.07 60.80
S1 a −6.28 −9.07 −11.85 −14.64 17.42 −18.32 −19.22 −20.12 21.02
c 15.60 19.18 22.75 26.33 29.90 31.40 32.91 34.41 35.91
S3 a 11.32 13.13 14.93 16.74 18.54 20.10 21.66 23.22 24.78
c 12.07 13.69 15.31 16.92 18.54 20.10 21.66 23.22 24.78
Extrusion Tresca a 2.50 2.91 3.31 3.72 4.13 4.81 5.49 6.17 6.87
0.5 N c 5.59 7.01 8.43 9.85 11.27 13.01 15.50 17.10 18.75
VM a 2.17 2.53 2.90 3.26 3.62 4.22 4.81 5.41 6.00
c 4.85 6.11 7.37 8.62 9.88 11.75 13.62 15.49 16.34
Pressure a 13.68 15.86 18.40 20.22 24.55 25.93 27.31 28.68 30.00
c 19.10 23.61 28.12 32.64 37.15 42.95 48.75 54.55 60.34
S1 a −6.60 −9.59 −12.57 −15.55 −18.54 −19.76 −20.98 −22.20 −24.78
c 20.75 26.93 33.11 39.30 45.48 51.29 57.10 62.91 68.72
S3 a 11.74 13.17 14.60 16.03 −17.46 −22.07 −26.69 −31.30 −35.91
c 17.21 21.02 24.83 28.63 32.44 37.70 42.95 48.21 53.46
Translation Tresca a 1.68 2.14 2.61 3.07 3.53 4.23 4.92 5.62 6.31
0.5 N c 16.37 20.99 25.61 30.23 34.85 41.78 48.71 55.64 62.57
VM a 1.49 1.89 2.29 2.69 3.09 3.69 4.29 4.89 5.49
c 14.59 18.55 22.52 26.49 30.45 36.44 42.45 48.44 54.44
Pressure a −28.21 33.27 38.33 43.39 48.45 62.29 76.27 90.11 103.80
c −79.11 −80.83 −82.54 −84.26 −85.97 −96.75 −107.53 −118.31 −129.10
S1 a 10.53 17.06 23.60 30.13 −36.66 −49.25 −61.84 −74.43 −87.02
c 48.91 62.01 75.21 88.35 101.50 114.08 126.65 139.23 151.80
S3 a 38.69 41.50 44.31 47.11 49.92 64.52 79.11 93.71 108.30
c −93.59 104.62 115.65 126.67 137.70 159.13 180.55 201.98 223.40
Rotation Tresca a 1.94 2.55 3.16 3.76 4.37 5.34 6.30 7.27 8.23
0.5 N c 17.17 23.40 29.63 35.87 42.10 49.83 57.55 65.28 73.00
VM a 1.68 2.21 2.75 3.28 3.81 4.73 5.65 6.57 7.49
c 14.80 20.34 25.88 31.41 36.95 44.33 51.71 50.83 66.46
Pressure a −34.32 38.89 43.47 48.04 52.61 63.86 75.11 86.36 97.61
c −85.30 −89.63 −93.95 −98.28 −102.60 −117.50 −132.40 −147.30 −162.20
S1 a 12.90 18.30 23.70 29.09 −34.49 −46.45 −58.41 −70.36 −82.32
c 64.10 79.13 94.16 109.18 124.20 139.40 154.60 169.80 185.00
S3 a 56.60 59.46 62.33 65.19 −68.05 −86.29 −104.53 −122.76 −141.00
c −98.50 114.30 130.10 145.10 161.70 188.60 201.55 242.40 269.30
Tipping Tresca a 1.29 1.96 2.64 3.31 3.98 4.71 5.44 6.16 6.89
0.5 N c 11.36 13.89 16.43 18.96 21.49 25.44 29.43 33.41 37.42
VM a 1.12 1.71 2.30 2.88 3.47 4.12 4.77 5.42 6.07
c 9.85 12.07 14.28 16.50 18.71 22.28 25.86 29.43 33.00
Pressure a 13.75 16.03 18.31 20.59 22.84 34.97 47.09 59.22 71.34
c 33.04 35.44 37.83 40.23 42.62 64.22 85.81 107.41 129.00
S1 a 6.84 13.57 20.30 27.03 −33.76 −38.54 −43.31 −48.09 −52.86
c −31.37 39.43 47.50 55.56 63.62 77.54 91.46 105.38 119.30
S3 a 24.05 30.97 37.89 44.81 −51.73 −61.62 −71.52 −81.41 −91.30
c −35.17 38.95 42.72 46.50 50.27 88.45 126.64 164.82 203.00