Determination of nonlinear fibre-reinforced biphasic poroviscoelastic constitutive parameters of articular cartilage using stress relaxation indentation testing and an optimizing finite element analysis

Seifzadeh, Alireza; Oguamanam, D. C. D.; Trutiak, N.; Hurtig, Mark; Papini, M.

doi:10.1016/j.cmpb.2011.07.004

Cited by 36 publications

(17 citation statements)

References 33 publications

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“…1(b)]. The general procedure is described in more detail in Seifzadeh et al [26], but the high strains encountered in the present experiments required a novel cost function formulation that has not been previously employed. Initially, following Wilson et al [25], the objective function based on the sum of error norms for the relaxation force used was…”

Section: Optimization Of Constitutive Parametersmentioning

confidence: 99%

“…To define the permeability, a specific weight of the wetting liquid c ¼ 9.81 kN/m 3 [26] was used. k 0 and M were determined as part of the optimization.…”

Section: Continuum Mechanical Frameworkmentioning

confidence: 99%

“…Since the model is highly nonlinear with a large number of material parameters [30,31] to be determined, the optimization design space has many local minima. This will require use of the simulated annealing (SA) optimization algorithm scheme previously utilized by Seifzadeh et al [26]. Because of the high strains encountered in the experiments, the total duration of the relaxation was very high compared to the time to ramp up to the peak forces.…”

Section: Introductionmentioning

confidence: 99%

“…These models; however, did not account for the intrinsic viscoelasticity of the solid matrix, and were tested against 5% strain experiments done by DiSilvestro and Suh [14]. Seifzadeh et al [26] also used a nonlinear fiber-reinforced BPVE model to show the effect of friction when determining the material properties of human cartilage during indentation testing.…”

Section: Introductionmentioning

confidence: 99%

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A Nonlinear Biphasic Fiber-Reinforced Porohyperviscoelastic Model of Articular Cartilage Incorporating Fiber Reorientation and Dispersion

Seifzadeh

Wang

Oguamanam

et al. 2011

Journal of Biomechanical Engineering

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A nonlinear biphasic fiber-reinforced porohyperviscoelastic (BFPHVE) model of articular cartilage incorporating fiber reorientation effects during applied load was used to predict the response of ovine articular cartilage at relatively high strains (20%). The constitutive material parameters were determined using a coupled finite element-optimization algorithm that utilized stress relaxation indentation tests at relatively high strains. The proposed model incorporates the strain-hardening, tension-compression, permeability, and finite deformation nonlinearities that inherently exist in cartilage, and accounts for effects associated with fiber dispersion and reorientation and intrinsic viscoelasticity at relatively high strains. A new optimization cost function was used to overcome problems associated with large peak-to-peak differences between the predicted finite element and experimental loads that were due to the large strain levels utilized in the experiments. The optimized material parameters were found to be insensitive to the initial guesses. Using experimental data from the literature, the model was also able to predict both the lateral displacement and reaction force in unconfined compression, and the reaction force in an indentation test with a single set of material parameters. Finally, it was demonstrated that neglecting the effects of fiber reorientation and dispersion resulted in poorer agreement with experiments than when they were considered. There was an indication that the proposed BFPHVE model, which includes the intrinsic viscoelasticity of the nonfibrillar matrix (proteoglycan), might be used to model the behavior of cartilage up to relatively high strains (20%). The maximum percentage error between the indentation force predicted by the FE model using the optimized material parameters and that measured experimentally was 3%.

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Section: Optimization Of Constitutive Parametersmentioning

confidence: 99%

“…To define the permeability, a specific weight of the wetting liquid c ¼ 9.81 kN/m 3 [26] was used. k 0 and M were determined as part of the optimization.…”

Section: Continuum Mechanical Frameworkmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A Nonlinear Biphasic Fiber-Reinforced Porohyperviscoelastic Model of Articular Cartilage Incorporating Fiber Reorientation and Dispersion

Seifzadeh

Wang

Oguamanam

et al. 2011

Journal of Biomechanical Engineering

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“…Besides, experimental approaches limit the study of parameters in an individual manner. To solve these problems, in the last decade, it has emerged the use of computational models to simulate cartilage behaviour (Landinez-Parra et al 2011;Seifzadeh et al 2012) as well as materials mimicking cartilage Krishnan Namboori et al 2013). Therein, the finite element method is the most used (Soulhat et al 1999;Smith et al, 2013).…”

Section: Introductionmentioning

confidence: 99%

Parameter-dependent behavior of articular cartilage: 3D mechano-electrochemical computational model

Manzano

Doblaré

Doweidar

2015

Computer Methods and Programs in Biomedicine

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How changes in fibril‐level organization correlate with the macrolevel behavior of articular cartilage

Nickien

Thambyah

Broom

2013

WIREs Mechanisms of Disease

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The primary structural components of articular cartilage are the zonally differentiated interconnected network of collagen fibrils and proteoglycans, the latter having the potential to bind large amounts of water. Both components exist in a coupled relationship that gives rise to its remarkable mechanical properties. The response of cartilage to compression is governed both by the degree to which the hydrated proteoglycans are constrained within this fibrillar network and the ease with which the matrix fluid can be displaced. The functional properties of cartilage are therefore closely linked to the integrity of the fibrillar network. Our current understanding of this network has been derived via studies conducted at the macro, micro, and ultrastructural levels. Of particular interest to joint researchers and clinicians are issues relating to how the network structure varies both directionally and with zonal depth, how its integrity is maintained via mechanisms of fibril interconnectivity, and how it is modified by ageing, degeneration, and trauma. Physical models have been developed to explore modes of interconnectivity. Combined micromechanical and structural studies confirm the critical role that this interconnectivity must play but detailed descriptions at the molecular level remain elusive. Current computationally based models of cartilage have in some cases implemented the fibrillar component, albeit simplistically, as a separate structure. Considering how important a role fibril network interconnectivity plays in actual tissue structure and mechanical behavior, and especially how it changes with degeneration, a major challenge facing joint tissue modellers is how to incorporate such a feature in their models.

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Determination of nonlinear fibre-reinforced biphasic poroviscoelastic constitutive parameters of articular cartilage using stress relaxation indentation testing and an optimizing finite element analysis

Cited by 36 publications

References 33 publications

A Nonlinear Biphasic Fiber-Reinforced Porohyperviscoelastic Model of Articular Cartilage Incorporating Fiber Reorientation and Dispersion

A Nonlinear Biphasic Fiber-Reinforced Porohyperviscoelastic Model of Articular Cartilage Incorporating Fiber Reorientation and Dispersion

Parameter-dependent behavior of articular cartilage: 3D mechano-electrochemical computational model

How changes in fibril‐level organization correlate with the macrolevel behavior of articular cartilage

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