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. 2023 Jan 19;20(3):1889. doi: 10.3390/ijerph20031889

Table 3.

The Tresca shear stress average values (KPa) produced by 1.2 N of orthodontic force.

Resorption (mm) 0 1 2 3 4 5 6 7 8
Intrusion 1.2 N a 5.99 6.98 7.95 8.93 9.92 11.55 13.23 14.85 16.50
% a 1.00 1.17 1.33 1.49 1.66 1.93 2.21 2.48 2.75
m 5.99 10.41 11.01 12.62 14.81 15.24 15.66 16.08 16.50
% m 1.00 1.74 1.84 2.11 2.47 2.54 2.61 2.68 2.75
c 10.44 13.37 16.30 19.22 22.15 25.82 29.49 33.17 36.86
% c 1.00 1.28 1.56 1.84 2.12 2.47 2.82 3.18 3.53
Extrusion 1.2 N a 5.99 7.59 9.18 10.77 12.37 13.40 14.43 15.47 16.50
% a 1.00 1.27 1.53 1.80 2.06 2.23 2.41 2.58 2.75
m 5.99 7.59 9.18 10.77 12.37 13.40 14.43 15.47 16.50
% m 1.00 1.27 1.53 1.80 2.06 2.23 2.41 2.58 2.75
c 13.41 16.81 20.22 23.63 27.04 31.54 36.07 40.59 45.10
% c 1.00 1.25 1.51 1.76 2.02 2.35 2.69 3.03 3.36
Translation 1.2 N a 4.03 5.15 6.26 7.38 8.49 10.13 11.75 13.39 15.02
% a 1.00 1.28 1.55 1.83 2.11 2.51 2.92 3.32 3.73
m 7.95 10.18 12.40 14.63 16.85 20.19 23.53 26.86 30.20
% m 1.00 1.28 1.56 1.84 2.12 2.54 2.96 3.38 3.80
c 35.43 47.52 59.60 71.69 83.77 96.58 109.39 122.19 135.40
% c 1.00 1.34 1.68 2.02 2.36 2.73 3.09 3.45 3.82
Rotation 1.2 N a 4.67 6.14 7.60 9.06 10.51 12.83 15.15 17.47 19.79
% a 1.00 1.31 1.63 1.94 2.25 2.75 3.24 3.74 4.24
m 9.25 12.10 14.95 17.81 20.67 25.31 29.95 34.60 39.24
% m 1.00 1.31 1.62 1.93 2.24 2.74 3.24 3.74 4.24
c 36.70 50.46 64.21 77.97 91.72 102.93 114.14 125.35 136.56
% c 1.00 1.37 1.75 2.12 2.50 2.80 3.11 3.42 3.72
Tipping 1.2 N a 3.10 4.72 6.32 7.92 9.56 11.30 13.04 14.78 16.53
% a 1.00 1.52 2.04 2.55 3.08 3.65 4.21 4.77 5.33
m 6.12 8.15 10.17 12.20 14.22 16.84 19.45 22.07 24.68
% m 1.00 1.33 1.66 1.99 2.32 2.75 3.18 3.60 4.03
c 24.26 31.09 37.92 44.75 51.58 61.14 70.70 80.26 89.82
% c 1.00 1.28 1.56 1.84 2.13 2.52 2.91 3.31 3.70

a—apical stress, m—middle stress, c—stress cervical, % a—nr. of times of stress increase apically, % m—nr. of times of stress increase medially, and % c—nr. of times of stress increase cervically.