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

Table 2.

The Tresca shear stress average values (KPa) produced by 0.6 N of orthodontic forces.

Resorption (mm) 0 1 2 3 4 5 6 7 8
Intrusion 0.6 N a 3.00 3.49 3.98 4.46 4.96 5.78 6.62 7.43 8.25
% a 1.00 1.16 1.33 1.49 1.65 1.93 2.21 2.48 2.75
m 3.00 5.21 5.51 6.31 7.41 7.62 7.83 8.04 8.25
% m 1.00 1.74 1.84 2.10 2.47 2.54 2.61 2.68 2.75
c 5.22 6.68 8.15 9.61 11.07 12.91 14.75 16.58 18.43
% c 1.00 1.28 1.56 1.84 2.12 2.47 2.83 3.18 3.53
Extrusion 0.6 N a 3.00 3.80 4.59 5.39 6.18 6.70 7.22 7.73 8.25
% a 1.00 1.27 1.53 1.80 2.06 2.23 2.41 2.58 2.75
m 3.00 3.80 4.59 5.39 6.18 6.70 7.22 7.73 8.25
% m 1.00 1.27 1.53 1.80 2.06 2.23 2.41 2.58 2.75
c 6.70 8.41 10.11 11.82 13.52 15.77 18.04 20.29 22.55
% c 1.00 1.25 1.51 1.76 2.02 2.35 2.69 3.03 3.36
Translation 0.6 N a 2.01 2.57 3.13 3.69 4.25 5.06 5.88 6.69 7.51
% a 1.00 1.28 1.56 1.84 2.11 2.52 2.93 3.33 3.74
m 3.97 5.09 6.20 7.31 8.43 10.09 11.76 13.43 15.10
% m 1.00 1.28 1.56 1.84 2.12 2.54 2.96 3.38 3.80
c 17.71 23.76 29.80 35.84 41.89 48.29 54.69 61.10 67.70
% c 1.00 1.34 1.68 2.02 2.37 2.73 3.09 3.45 3.82
Rotation 0.6 N a 2.34 3.07 3.80 4.53 5.26 6.42 7.58 8.73 9.89
% a 1.00 1.32 1.63 1.94 2.25 2.75 3.24 3.74 4.24
m 4.62 6.05 7.48 8.90 10.33 12.65 14.98 17.30 19.62
% m 1.00 1.31 1.62 1.93 2.23 2.74 3.24 3.74 4.24
c 18.35 25.23 32.11 38.98 45.86 51.47 57.07 62.68 68.28
% c 1.00 1.37 1.75 2.12 2.50 2.80 3.11 3.42 3.72
Tipping 0.6 N a 1.55 2.36 3.16 3.96 4.78 5.65 6.52 7.39 8.26
% a 1.00 1.52 2.04 2.55 3.08 3.64 4.21 4.77 5.33
m 3.06 4.07 5.09 6.10 7.11 8.42 9.73 11.03 12.34
% m 1.00 1.33 1.66 1.99 2.32 2.75 3.18 3.60 4.03
c 12.13 15.55 18.96 22.38 25.79 30.57 35.35 40.13 44.91
% 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.