Age-related and regional differences in the stress–strain and stress–relaxation behaviours of the rat incisor periodontal ligament

Komatsu, Koichiro; Shibata, Tatsuya; Shimada, Akemi; Viidik, Andrus; Chiba, M.

doi:10.1016/j.jbiomech.2003.11.013

Cited by 39 publications

(27 citation statements)

References 36 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…The numerical solution obtained from a model with four viscoelastic branches shows an increase of parameters number not justified in front of a marginal improvement of accuracy. Relaxation times for the model with three viscous processes show the presence of a short-, medium-, and long-term contribution spanning the order of magnitude of about 1 s, 10 s and 100 s, as a feature typically found in other soft tissues [18, 19, 26]. …”

Section: Discussionmentioning

confidence: 75%

“…The gauge length of the samples was 10 mm, corresponding to a mean aspect ratio (length/width) of about 2. Nominal strain values were calculated dividing the current sample length by its initial length value, according to the procedure usually adopted in the literature [5, 18, 19]. Nominal stress was evaluated as the ratio between recorded force and value of undeformed cross-sectional area.…”

Section: Methodsmentioning

confidence: 99%

See 1 more Smart Citation

Constitutive Modeling of Time-Dependent Response of Human Plantar Aponeurosis

Pavan

Pachera

Stecco

et al. 2014

Computational and Mathematical Methods in Medicine

View full text Add to dashboard Cite

The attention is focused on the viscoelastic behavior of human plantar aponeurosis tissue. At this purpose, stress relaxation tests were developed on samples taken from the plantar aponeurosis of frozen adult donors with age ranging from 67 to 78 years, imposing three levels of strain in the physiological range (4%, 6%, and 8%) and observing stress decay for 240 s. A viscohyperelastic fiber-reinforced constitutive model with transverse isotropy was assumed to describe the time-dependent behavior of the aponeurotic tissue. This model is consistent with the structural conformation of the tissue where collagen fibers are mainly aligned with the proximal-distal direction. Constitutive model fitting to experimental data was made by implementing a stochastic-deterministic procedure. The stress relaxation was found close to 40%, independently of the level of strain applied. The agreement between experimental data and numerical results confirms the suitability of the constitutive model to describe the viscoelastic behaviour of the plantar aponeurosis.

show abstract

Section: Discussionmentioning

confidence: 75%

Section: Methodsmentioning

confidence: 99%

Constitutive Modeling of Time-Dependent Response of Human Plantar Aponeurosis

Pavan

Pachera

Stecco

et al. 2014

Computational and Mathematical Methods in Medicine

View full text Add to dashboard Cite

show abstract

“…In order to elucidate the tooth support mechanisms, Chiba's group systematically investigated the effects, on the mechanical properties of the PDL, of various experimental factors [4] such as periodontal disease [10, 22], hypofunction [18, 35, 36], orthodontic forces [37–39], treatment with inhibitors (lathyrogens) of collagen cross-linking and an inhibitor (hydrocortisone) of collagen degradation or turnover [8, 40–43], age [7, 17, 20, 44, 45], and root levels [19, 21]. They found that the mechanical properties were sensitive to both experimental alterations and to differences in the content, direction, and organisation of the collagen fibre components of the PDL.…”

Section: The Mechanical Strength Of the Pdlmentioning

confidence: 99%

“…Several methods of measurement and analysis of the stress-relaxation response of the PDL have recently been reported [13, 17, 20, 26, 62–66]. The distinctive property of the stress-relaxation of the PDL is that the amount of stress-relaxation during 10 minutes reaches about 50% of the initially applied stress [17], which is greater than those of other soft connective tissues.…”

Section: The Viscoelastic Response Of the Pdlmentioning

confidence: 99%

Mechanical Strength and Viscoelastic Response of the Periodontal Ligament in Relation to Structure

Komatsu¹

2010

Journal of Dental Biomechanics

View full text Add to dashboard Cite

The mechanical strength of the periodontal ligament (PDL) was first measured as force required to extract a tooth from its socket using human specimens. Thereafter, tooth-PDL-bone preparations have extensively been used for measurement of the mechanical response of the PDL. In vitro treatments of such specimens with specific enzymes allowed one to investigate into the roles of the structural components in the mechanical support of the PDL. The viscoelastic responses of the PDL may be examined by analysis of the stress-relaxation. Video polarised microscopy suggested that the collagen molecules and fibrils in the stretched fibre bundles progressively align along the deformation direction during the relaxation. The stress-relaxation process of the PDL can be well expressed by a function with three exponential decay terms. Analysis after in vitro digestion of the collagen fibres by collagenase revealed that the collagen fibre components may play an important role in the long-term relaxation component of the stress-relaxation process of the PDL. The dynamic measurements of the viscoelastic properties of the PDL have recently suggested that the PDL can absorb more energy in compression than in shear and tension. These viscoelastic mechanisms of the PDL tissue could reduce the risk of injury to the PDL.

show abstract

“…However, some studies indicate that the elastic property of the PDL is nonlinear [7-9]. Previous analytical models have assumed viscoelastic properties for the PDL such as creep, stress relaxation, and hysteresis [10-13]. However, most PDL researchers prefer the linear elastic behavior because of its simplicity.…”

Section: Introductionmentioning

confidence: 99%

Predicting the holistic force-displacement relation of the periodontal ligament: in-vitro experiments and finite element analysis

Chang

Lei

et al. 2014

BioMed Eng OnLine

View full text Add to dashboard Cite

BackgroundThe biomechanical property of the periodontal ligament (PDL) is important in orthodontics and prosthodontics. The objective of this study was to evaluate the feasibility of measuring the biomechanical behavior of the periodontal ligament using micro-computed tomography (micro-CT).MethodsA custom-made apparatus measured the force and displacement of a porcine PDL specimen within the micro-CT environment. Synchronized computed tomography (CT) images were used to obtain the deformation and displacement of the entire specimen and to reconstruct the three-dimensional mesh model. To match the experimental results, finite element analysis was then applied to simulate the biomechanical response of the PDL. The mechanical model of the PDL was assumed as the hyperelastic material in this study.ResultsThe volume variations of the tooth and the alveolar bone were less than 1%, which implies that tooth displacement was caused mostly by displacement of the PDL. Only translational displacement was observed with each load step because the transformation matrix acquired from the CT image registration was identical. The force-displacement curve revealed the nonlinear behavior of the PDL. There was a high correlation between the experimental displacement results and the simulation displacement results. The numerical results (based on the assumption that the PDL is the hyperelastic material) showed good agreement with the experimental results.ConclusionsNondestructive measurements by micro-CT obtained the biomechanical behavior of the PDL. Using the hyperelastic characteristic as the constitutive model can properly predict the force-displacement relation of the PDL after loading. This study provided a feasible approach for measuring the biomechanical behavior of the PDL for further dental application.

show abstract

Age-related and regional differences in the stress–strain and stress–relaxation behaviours of the rat incisor periodontal ligament

Cited by 39 publications

References 36 publications

Constitutive Modeling of Time-Dependent Response of Human Plantar Aponeurosis

Constitutive Modeling of Time-Dependent Response of Human Plantar Aponeurosis

Mechanical Strength and Viscoelastic Response of the Periodontal Ligament in Relation to Structure

Predicting the holistic force-displacement relation of the periodontal ligament: in-vitro experiments and finite element analysis

Contact Info

Product

Resources

About