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

Komatsu, Koichiro

doi:10.4061/2010/502318

Cited by 39 publications

(17 citation statements)

References 63 publications

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“…In studies by Komatsu et al [16], the relaxation curves of rabbit periodontal ligament was fitted with time constants between 0.2-0.4 s, 2-4 s, and 100-400 s. Wagenseil et al [17] reported that the stress relaxation behavior of fibroblast populated collagen s consists of three time constants between 1-10 s, 10-100 s, and >1000 s. The three exponential term decay model has also been used to describe the Table 1. Table 1 Summary of material parameters in the viscous model (Eq.…”

Section: Discussionmentioning

confidence: 99%

“…Studying the tissue level constitutive behavior, previous studies have shown that the stress-relaxation behavior of collagen based material was well described by a function with three exponential decay terms which reflecting the short-, medium-, and long-term relaxation components in the tissue [16,17]. In studies by Komatsu et al [16], the relaxation curves of rabbit periodontal ligament was fitted with time constants between 0.2-0.4 s, 2-4 s, and 100-400 s. Wagenseil et al [17] reported that the stress relaxation behavior of fibroblast populated collagen s consists of three time constants between 1-10 s, 10-100 s, and >1000 s. The three exponential term decay model has also been used to describe the Table 1.…”

Section: Discussionmentioning

confidence: 99%

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An Experimental and Modeling Study of the Viscoelastic Behavior of Collagen Gel

Xu¹,

Zhang

2013

Journal of Biomechanical Engineering

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The macroscopic viscoelastic behavior of collagen gel was studied through relaxation time distribution spectrum obtained from stress relaxation tests and viscoelastic constitutive modeling. Biaxial stress relaxation tests were performed to characterize the viscoelastic behavior of collagen gel crosslinked with Genipin solution. Relaxation time distribution spectrum was obtained from the stress relaxation data by inverse Laplace transform. Peaks at the short (0.3 s-1 s), medium (3 s-90 s), and long relaxation time (>200 s) were observed in the continuous spectrum, which likely correspond to relaxation mechanisms involve fiber, interfibril, and fibril sliding. The intensity of the long-term peaks increases with higher initial stress levels indicating the engagement of collagen fibrils at higher levels of tissue strain. We have shown that the stress relaxation behavior can be well simulated using a viscoelastic model with viscous material parameters obtained directly from the relaxation time spectrum. Results from the current study suggest that the relaxation time distribution spectrum is useful in connecting the macro-level viscoelastic behavior of collagen matrices with micro-level structure changes.

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Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

An Experimental and Modeling Study of the Viscoelastic Behavior of Collagen Gel

Xu¹,

Zhang

2013

Journal of Biomechanical Engineering

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“…By contrast, non-mineralized soft biological materials refer to biopolymers such as collagen and viscid spider silk, which possess simultaneously low elastic moduli, large levels of stretchability, and relatively high tensile strengths. Recent studies show that an unconventional J-shaped stress-strain curve, induced by molecular uncoiling and unkinking under low stress, can yield superior mechanical properties (Fratzl et al, 1998; Gautieri et al, 2011; Keten et al, 2010; Komatsu, 2010; Meyers et al, 2013; Miserez et al, 2009; Provenzano et al, 2002; Simmons et al, 1996). Despite promising applications in tissue engineering and biomedical devices, the development of soft synthetic materials with matching mechanical properties has received far less attention (Hong, 2011; Jang et al, 2015; Naik et al, 2014) compared to that of mineralized biological materials, in part due to the complex, irregularly distributed microstructures.…”

Section: Introductionmentioning

confidence: 99%

A nonlinear mechanics model of bio-inspired hierarchical lattice materials consisting of horseshoe microstructures

Cheng

Jang

et al. 2016

Journal of the Mechanics and Physics of Solids

250

108

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Development of advanced synthetic materials that can mimic the mechanical properties of non-mineralized soft biological materials has important implications in a wide range of technologies. Hierarchical lattice materials constructed with horseshoe microstructures belong to this class of bio-inspired synthetic materials, where the mechanical responses can be tailored to match the nonlinear J-shaped stress-strain curves of human skins. The underlying relations between the J-shaped stress-strain curves and their microstructure geometry are essential in designing such systems for targeted applications. Here, a theoretical model of this type of hierarchical lattice material is developed by combining a finite deformation constitutive relation of the building block (i.e., horseshoe microstructure), with the analyses of equilibrium and deformation compatibility in the periodical lattices. The nonlinear J-shaped stress-strain curves and Poisson ratios predicted by this model agree very well with results of finite element analyses (FEA) and experiment. Based on this model, analytic solutions were obtained for some key mechanical quantities, e.g., elastic modulus, Poisson ratio, peak modulus, and critical strain around which the tangent modulus increases rapidly. A negative Poisson effect is revealed in the hierarchical lattice with triangular topology, as opposed to a positive Poisson effect in hierarchical lattices with Kagome and honeycomb topologies. The lattice topology is also found to have a strong influence on the stress-strain curve. For the three isotropic lattice topologies (triangular, Kagome and honeycomb), the hierarchical triangular lattice material renders the sharpest transition in the stress-strain curve and relative high stretchability, given the same porosity and arc angle of horseshoe microstructure. Furthermore, a demonstrative example illustrates the utility of the developed model in the rapid optimization of hierarchical lattice materials for reproducing the desired stress-strain curves of human skins. This study provides theoretical guidelines for future designs of soft bio-mimetic materials with hierarchical lattice constructions.

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“…Its mechanical behaviour is anisotropic as a consequence of its composition, with collagen fibres that run in different directions (Zhurov et al, 2007). Between the collagen fibres there are tissue fluids that provide a damping behaviour, which enables the ligament to offer a viscous and timedependent response (Komatsu, 2010). Some works have shown that the elastic response of the PDL is nonlinear (Pini et al, 2002).…”

Section: Theoretical Biomechanics 144mentioning

confidence: 99%