Time-related PDL: viscoelastic response during initial orthodontic tooth movement of a tooth with functioning interproximal contact—A mathematical model

Slomka, Noa; Vardimon, Alexander D.; Gefen, Amit; Pilo, Raphael; Bourauel, Christoph; Brosh, Tamar

doi:10.1016/j.jbiomech.2008.04.003

Cited by 26 publications

(14 citation statements)

References 21 publications

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“…A Maxwell rheological model (i.e., spring and dashpot in series) was used (Bien and Ayers, 1965) to describe the relaxation of a rat tooth, whereas a Kelvin-Voigt model (i.e., spring and dashpot in parallel) was suggested (Picton and Wills, 1978;Wills et al, 1972) to be used to describe PDL creep. A linear viscoelastic model modified for rotation, shown in (Funk et al, 2000) to suitably describe the viscoelastic behaviour of ligamentous tissues for small deformations was used by Slomka et al (2008) to develop a mathematical model of the premolar PDL relaxation response. The authors suggested that previous studies, which did not consider the role of functioning interproximal contact points in the time-dependent response of the PDL, were not appropriate models to evaluate initial orthodontic tooth movement when resistance from adjacent teeth was involved.…”

Section: Analytical Modelling Resultsmentioning

confidence: 99%

Analytically determined mechanical properties of, and models for the periodontal ligament: Critical review of literature

Fill

Toogood

Major

et al. 2012

Journal of Biomechanics

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Section: Analytical Modelling Resultsmentioning

confidence: 99%

Analytically determined mechanical properties of, and models for the periodontal ligament: Critical review of literature

Fill

Toogood

Major

et al. 2012

Journal of Biomechanics

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“…The present study focused on the numerical analysis of modal vibration of the tooth in the periodontal system. Viscoelastic behavior of the PDL was not taken into account, as the duration of periodical vibration studied is sufficiently short [6,18]. MSC software MARC-FEA was used in the modal analysis.…”

Section: Simulation Of the Tooth Vibrationmentioning

confidence: 99%

Nonlinear finite element analysis of the vibration characteristics of the maxillary central incisor related to periodontal attachment

Xin

Zhao

et al. 2009

Med Biol Eng Comput

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The vibration characteristics of a maxillary central incisor were investigated by using the finite element method (FEM) according to nonlinear behavior of the human periodontal ligament (PDL). The effect of alveolar bone loss was also studied to obtain the relationship between the vibration property of the tooth in the periodontal system and the level of periodontal attachment for assessing the condition of periodontium. Three-dimensional (3D) finite element model of the tooth was constructed using CT image-reconstruction, and the elastic face foundation constraint was applied to the surface of the tooth root where the PDL was attached to. Modal analysis was performed by using FEM. The nonlinear behavior of the PDL was assigned and approached by the piecewise linearized method. The results indicated that the vibration of the maxillary central incisor in the periodontal system could be described by several modal frequencies and modes. The first four modes were dominant, which varied with the deformation of the PDL or the force applied on the tooth. The vibration frequency of the maxillary central incisor decreased with the losing of the alveolar bone, but the ratio of decrease had no significant correlation with the nonlinear behavior of the human PDL. The vibration frequency of the maxillary central incisor can be used to describe the loss of the alveolar bone and the level of periodontal attachment, under physiological short-term loading.

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“…Despite its small thickness, the PDL plays an important role in absorbing energy and also transferring it to the bone 2‐4 . Also, orthodontic tooth movement in the alveolar bone is due to the mechanical response of the PDL to applied forces 5‐7 . Aforementioned mechanical functions can be mainly attributed to three structural elements of the PDL: (a) the collagen fibers, (b) the ground substance which consists of 30% glycoproteins and proteoglycans, and 70% bound water, and (c) the vasculature 1,3,8 .…”

Section: Introductionmentioning

confidence: 99%

Dynamic viscoelastic behavior of bovine periodontal ligament in compression

Najafidoust

Hashemi

Oskui

2020

J of Periodontal Research

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Background and Objective As the main connector of teeth to the surrounding bone, the periodontal ligament (PDL) plays an important role in absorption and distribution of physiological and para‐physiological loading. Despite the difference in the mechanical response of the PDL in tension and compression, little information is available on its viscoelastic behavior in compression. To explore the contribution of the fluid phase of the PDL, the aim of the present study was to measure its nonlinear time‐dependent behavior in compression. Material and Methods The in vitro dynamic compressive tests were carried out over a wide range of frequencies at three different preloads. Also, a generalized Maxwell model was proposed based on the experimental data to develop a viscoelastic model for subsequent computational analysis of the PDL. Results The higher values of loss factor in compression found in the range of 0.03‐0.4 than those of 0.04‐0.08 reported in tension, implies the focal role of the fluid phase in compressive dynamic response. Furthermore, the model parameters predicted that with an increase in preload, the role of the viscous components decrease, whereas the role of the elastic component increases. Conclusion The viscous effect of the PDL in compression is greater than that in tension. Also, the dependence of the relaxation modulus of the bovine PDL on the applied load indicates its nonlinear viscoelastic behavior in compression.

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Time-related PDL: viscoelastic response during initial orthodontic tooth movement of a tooth with functioning interproximal contact—A mathematical model

Cited by 26 publications

References 21 publications

Analytically determined mechanical properties of, and models for the periodontal ligament: Critical review of literature

Analytically determined mechanical properties of, and models for the periodontal ligament: Critical review of literature

Nonlinear finite element analysis of the vibration characteristics of the maxillary central incisor related to periodontal attachment

Dynamic viscoelastic behavior of bovine periodontal ligament in compression

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