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Date of download: 5/5/2017
Copyright © ASME. All rights reserved.
From: Modeling Stress-Relaxation Behavior of the Periodontal Ligament During the Initial Phase of
Orthodontic Treatment
J Biomech Eng. 2013;135(9):091007-091007-8. doi:10.1115/1.4024631
Figure Legend:
Three-stage schematic of the PDL response due to applied orthodontic loading. Stage 1 (time 0–0+), is the initial load drop caused
by the PDL compliance. Stage 2 (time 0+–T1) is characterized by an almost linear constant force with a nonlinear creep PDL
displacement. This can be considered the transient stage. Stage 3 (time T1–T2) is characterized by the maximum PDL displacement
and a decaying stress relaxation to the zero force level. This can be considered a stable or steady-state stage.
Date of download: 5/5/2017
Copyright © ASME. All rights reserved.
From: Modeling Stress-Relaxation Behavior of the Periodontal Ligament During the Initial Phase of
Orthodontic Treatment
J Biomech Eng. 2013;135(9):091007-091007-8. doi:10.1115/1.4024631
Figure Legend:
Representation of test specimens utilized by Komatsu et al. [21]
Date of download: 5/5/2017
Copyright © ASME. All rights reserved.
From: Modeling Stress-Relaxation Behavior of the Periodontal Ligament During the Initial Phase of
Orthodontic Treatment
J Biomech Eng. 2013;135(9):091007-091007-8. doi:10.1115/1.4024631
Figure Legend:
Spring/damper representation of the Burgers model
Date of download: 5/5/2017
Copyright © ASME. All rights reserved.
From: Modeling Stress-Relaxation Behavior of the Periodontal Ligament During the Initial Phase of
Orthodontic Treatment
J Biomech Eng. 2013;135(9):091007-091007-8. doi:10.1115/1.4024631
Figure Legend:
Five-parameter spring/damper configuration
Date of download: 5/5/2017
Copyright © ASME. All rights reserved.
From: Modeling Stress-Relaxation Behavior of the Periodontal Ligament During the Initial Phase of
Orthodontic Treatment
J Biomech Eng. 2013;135(9):091007-091007-8. doi:10.1115/1.4024631
Figure Legend:
Comparison of quadratic and cubic polynomial fit: (a) Gr(ε, t) = {0.4, 0.5, 0.58, 0.6) for time t = 200 s; (b) Gr(ε, t) = {0.38, 0.49, 0.57, 0.59)
for time t = 200 s; (c) Gr(ε, t) = {0.41, 0.51, 0.585, 0.6) for time t = 200 s; (d) Gr(ε, t) = {0.39, 0.5, 0.57, 0.59) for time t = 300 s; (e) Gr(ε,
t) = {0.38, 0.49, 0.54, 0.56) for time t = 300 s; (f) Gr(ε, t) = {0.37, 0.48, 0.53, 0.56) for time t = 300 s. The R2 for all curves range between
0.88 and 0.89 for both cubic and quadratic approaches.
Date of download: 5/5/2017
Copyright © ASME. All rights reserved.
From: Modeling Stress-Relaxation Behavior of the Periodontal Ligament During the Initial Phase of
Orthodontic Treatment
J Biomech Eng. 2013;135(9):091007-091007-8. doi:10.1115/1.4024631
Figure Legend:
Evaluation of viscoelastic models that describe the behavior of the PDL with initial deformation of (a) 36 μm, (b) 57 μm, (c) 78 μm,
and (d) 99 μm. Data of (a) were used to determine model constants. (b)–(d) show the predictive capabilities of the models for
different deformation levels. Left figure is the full data from 0 to 300 seconds. The right is a close-up view of the first 20 seconds.