Viscoelastic material model for the temporomandibular joint disc derived from dynamic shear tests or strain-relaxation tests

Koolstra, J.H.; Tanaka, Eiji; Eijden, T.M.G.J. van

doi:10.1016/j.jbiomech.2006.10.019

Cited by 41 publications

(35 citation statements)

References 11 publications

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“…2,14 Mechanical properties of the disc tissue can also be used in finite element models simulations 15 to understand the biomechanical response of the tissue under complex loading condition. There have been studies examining the shear, 32,49,52,53 compressive, 1,5,31,33 or tensile 4,13 properties of the TMJ disc. Most of these studies are done at the macroscale level, are destructive and require the tissue to be punched for gripping purposes, which can result in alteration of the collagen network structure.…”

Section: Introductionmentioning

confidence: 99%

Evaluating Anisotropic Properties in the Porcine Temporomandibular Joint Disc Using Nanoindentation

et al. 2010

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The objective of this study was to determine the viscoelastic properties present within the intermediate zone of the porcine temporomandibular joint (TMJ) disc using nanoindentation. A 50-microm conospherical indenter tip using a displacement-controlled ramp function with a 600 nm/s loading and unloading rate, a 3000-nm peak displacement with a holding period of 30 s was used to indent the samples. Experimental load-relaxation tests were performed on the TMJ disc to determine the response in three different directions; the mediolateral, anteroposterior, and articular surface directions. The experimental data were analyzed using a generalized Maxwell model to obtain values for short- and long-time relaxation modulus and of material time constants. The short time relaxation modulus E ( I ) values were 180.92, 64.99, and 487.77 kPa for testing done on the articular surface, mediolateral, and anteroposterior directions, respectively. Corresponding values for the long-time relaxation modulus E (infinity) were 45.9, 14.97, and 133.5 kPa. The method confirmed anisotropy present within the central intermediate zone of the porcine TMJ disc due to the directional orientation of the collagen fibers.

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Section: Introductionmentioning

confidence: 99%

Evaluating Anisotropic Properties in the Porcine Temporomandibular Joint Disc Using Nanoindentation

et al. 2010

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“…The material parameters corresponding to a cartilaginous temporomandibular joint are taken from Koolstra et al 12 ; they are summarized in Table 5.…”

Section: Uniaxial Compression Testsmentioning

confidence: 99%

Efficient time stepping for the multiplicative Maxwell fluid including the Mooney‐Rivlin hyperelasticity

Shutov

2017

Numerical Meth Engineering

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A popular version of the finite-strain Maxwell fluid is considered, which is based on the multiplicative decomposition of the deformation gradient tensor. The model combines Newtonian viscosity with hyperelasticity of the Mooney-Rivlin type; it is a special case of the viscoplasticity model proposed by Simo and Miehe in 1992. A simple, efficient, and robust implicit time-stepping procedure is suggested. Lagrangian and Eulerian versions of the algorithm are available, with equivalent properties. The numerical scheme is iteration free, unconditionally stable, and first order accurate. It exactly preserves the inelastic incompressibility, symmetry, and positive definiteness of the internal variables and w-invariance. The accuracy of the stress computations is tested using a series of numerical simulations involving a nonproportional loading and large strain increments. In terms of accuracy, the proposed algorithm is equivalent to the modified Euler backward method with exact inelastic incompressibility; the proposed method is also equivalent to the classical integration method based on exponential mapping. Since the new method is iteration free, it is more robust and computationally efficient. The algorithm is implemented into MSC.MARC, and a series of initial boundary value problems is solved to demonstrate the usability of the numerical procedures.

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“…As occurred previously in the stress-relaxation and creep tests, a tendency is observed for the medial and lateral zones of the disc to have a higher stiffness than the central zone, in spite of the dispersion of the results. It can also be deduced that a greater preload corresponds to a greater stiffness for a constant deformation [15].…”

Section: Cyclic Loading Testingmentioning

confidence: 99%

Viscoelastic Characterisation of the Temporomandibular Joint Disc in Bovines

Pelayo

Rey

Fernández‐Canteli

2011

Strain

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The aim of this paper was to develop a biomechanical model to reproduce the viscoelastic behaviour of the material of the bovine temporomandibular joint (TMJ) disc, as a substitute material to be applied in subsequent experimental studies of possible human TMJ disorders. As the mechanical properties of the disc change due to different factors, this study is focussed on evaluating its viscoelastic response under compression in stress–relaxation, creep and cycling loading tests, using an equipment that allows us to simulate the real function conditions of the material in a liquid medium at 37 °C. In order to fit the data obtained from the relaxation and creep tests, generalised Maxwell and Kelvin models of eight terms are proposed, leading to Prony’s series of practical interest for subsequent numerical calculations.

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Viscoelastic material model for the temporomandibular joint disc derived from dynamic shear tests or strain-relaxation tests

Cited by 41 publications

References 11 publications

Evaluating Anisotropic Properties in the Porcine Temporomandibular Joint Disc Using Nanoindentation

Evaluating Anisotropic Properties in the Porcine Temporomandibular Joint Disc Using Nanoindentation

Efficient time stepping for the multiplicative Maxwell fluid including the Mooney‐Rivlin hyperelasticity

Viscoelastic Characterisation of the Temporomandibular Joint Disc in Bovines

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