A viscoelastic model for collagen fibres

Sanjeevi, R.; Somanathan, N.; Ramaswamy, D.

doi:10.1016/0021-9290(82)90250-0

Cited by 80 publications

(35 citation statements)

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“…Diese setzen sich aus elastischen (im Wesentlichen Kollagen-und elastischen Fasern) und flüssigen (dazu gehören Blut und Lymphe sowie die interstitielle Flüssig-keit) Komponenten zusammen [6]. Ihr viskoelastisches Materialverhalten wird von verschiedenen Autoren [5,11,22] durch das Zusammenspiel der unterschiedlichen Komponenten begründet. Auch die Reaktion eines Zahnes auf äußere Kräfte setzt sich deshalb aus den Reaktionsmechanismen mehrerer Materialien zusammen, die sich in ihren mechanischen Eigenschaften stark unterscheiden.…”

Section: Methodsunclassified

“…Such tissues are composed of elastic components (mainly collagen and elastic fibers) and fluid components (including blood and lymph vessels as well as interstitial fluid) [6]. Their viscoelastic material behavior is explained by various authors [5,11,22] in terms of the interaction of the different components. The reaction of a tooth to externally applied forces is thus also determined by the reaction mechanisms of several materials, which differ significantly in their mechanical properties.…”

Section: Survey Of the Literaturementioning

confidence: 99%

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Experiments to Determine the Material Properties of the Periodontal Ligament

Dorow

Krstin

Sander

2002

Journal of Orofacial Orthopedics / Fortschritte der Kieferortho

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Section: Methodsunclassified

Section: Survey Of the Literaturementioning

confidence: 99%

Experiments to Determine the Material Properties of the Periodontal Ligament

Dorow

Krstin

Sander

2002

Journal of Orofacial Orthopedics / Fortschritte der Kieferortho

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“…Viscoelastic behavior has been observed and studied in cells (Bausch et al 1999;Guilak 2000;Guilak et al 1999Guilak et al , 2000Heidemann et al 1999;Trickey et al 2000) and a number of biologic tissues such as articular cartilage (Mak 1986;Woo et al 1980), bone , skeletal muscle (Best et al 1994), cardiovascular tissue , tendon (Atkinson et al 1999;Graf et al 1994), and ligament (Haut and Little 1969;Provenzano et al 2001; Thornton et al 1997;Woo 1982, Woo et al 1981. Structural, phenomenological, and continuum models have been formulated to describe these viscoelastic behaviors (Bingham and DeHoff 1979;Corr et al 2001;Decraemer et al 1980;Dehoff 1978;Egan 1987;Fung 1972;Johnson et al 1996;Lakes and Vanderby 1999;Lanir 1979Lanir , 1980Lanir , 1983Sanjeevi et al 1982;Shoemaker et al 1986;Viidik 1968). The most commonly applied model of viscoelastic behavior in biomechanics has been the quasilinear viscoelasticity (QLV) model of Fung (1972).…”

Section: Introductionmentioning

confidence: 98%

Application of nonlinear viscoelastic models to describe ligament behavior

Provenzano

Lakes

Corr

et al. 2002

Biomechanics and Modeling in Mechanobiology

147

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Recent experiments in rat medial collateral ligament revealed that the rate of stress relaxation is strain dependent and the rate of creep is stress dependent. This nonlinear behavior requires a more general description than the separable quasilinear viscoelasticity theory commonly used in tissue biomechanics. The purpose of this study was to determine whether the nonlinear theory of Schapery or the modified superposition method could adequately model the strain-dependent stress-relaxation behavior of ligaments. It is shown herein that both theories describe available nonlinear experimental ligament data well and hence can account for both elastic and viscous nonlinearities. However, modified superposition allows for a more direct interpretation of the relationship between model parameters and physical behavior, such as elastic and viscous nonlinearities, than does Schapery's theory. Hence, the modified superposition model is suggested to describe ligament data demonstrating both elastic nonlinearity and strain-dependent relaxation rate behavior. The behavior of the modified superposition model under a sinusoidal strain history is also examined. The model predicts that both elastic and viscous behaviors are dependent on strain amplitude and frequency.

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“…These viscous factors contribute to the nonlinear viscoelastic behavior of gelatin gels, which cannot be described with the pure elastic models [39,40] . These characteristics are also common in other biopolymer gels such as collagens and F-actin networks [41,42] . In the view of the above considerations, the models mentioned above appear to be hardly considered best for the gelatin gel.…”

Section: Introductionmentioning

confidence: 91%

Large amplitude oscillatory shear studies on the strain-stiffening behavior of gelatin gels

et al. 2014

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Linear and nonlinear viscoelasticity of gelatin solutions was investigated by rheology. The dynamic mechanical properties during the sol-gel transition of gelatin followed the time-cure superposition. The fractal dimension d f of the critical gel was estimated as 1.76, which indicated a loose network. A high sol fraction w s = 0.61 was evaluated from the plateau modulus by semi-empirical models. Strain-stiffening behavior was observed under large amplitude oscillatory shear (LAOS) for the gelatin gel. The strain and frequency dependence of the minimum strain modulus G M , energy dissipation E d , and nonlinear viscoelastic parameter N E was illustrated in Pipkin diagrams and explained by the strain induced helix formation reported previously by others. The BST model described the strain-stiffening behavior of gelatin gel quite well, whereas the Gent and worm-like chain network models overestimated the strain-stiffening at large strains.

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A viscoelastic model for collagen fibres

Cited by 80 publications

References 1 publication

Experiments to Determine the Material Properties of the Periodontal Ligament

Experiments to Determine the Material Properties of the Periodontal Ligament

Application of nonlinear viscoelastic models to describe ligament behavior

Large amplitude oscillatory shear studies on the strain-stiffening behavior of gelatin gels

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