A three-dimensional constitutive model for the stress relaxation of articular ligaments
A three-dimensional constitutive model for the stress relaxation of articular ligaments
A new nonlinear constitutive model for the three-dimensional stress relaxation of articular ligaments is proposed. The model accounts for finite strains, anisotropy, and strain-dependent stress relaxation behavior exhibited by these ligaments. The model parameters are identified using published uniaxial stress-stretch and stress relaxation data on human medial collateral ligaments (MCLs) subjected to tensile tests in the fiber and transverse to the fiber directions (Quapp and Weiss in J Biomech Eng Trans ASME 120:757-763, 1998; Bonifasi-Lista et al. in J Orthop Res 23(1):67-76, 2005). The constitutive equation is then used to predict the nonlinear elastic and stress relaxation response of ligaments subjected to shear deformations in the fiber direction and transverse to the fiber direction, and an equibiaxial extension. A direct comparison with stress relaxation data collected by subjecting human MCLs to shear deformation in the fiber direction is presented in order to demonstrate the predictive capabilities of the model.
biaxial stretch, collagenous tissue, finite strain, mcl, medial collateral ligament, nonlinear viscoelasticity, simple shear, stress relaxation, transversely isotropic material
653-663
Davis, Frances M.
20f89066-bbac-42dc-908d-d89a747dc399
De Vita, Raffaella
4c91bf7a-7fa6-43c8-ae7a-0f244d244c92
June 2014
Davis, Frances M.
20f89066-bbac-42dc-908d-d89a747dc399
De Vita, Raffaella
4c91bf7a-7fa6-43c8-ae7a-0f244d244c92
Davis, Frances M. and De Vita, Raffaella
(2014)
A three-dimensional constitutive model for the stress relaxation of articular ligaments.
Biomechanics and Modeling in Mechanobiology, 13 (3), .
(doi:10.1007/s10237-013-0525-9).
(PMID:23990018)
Abstract
A new nonlinear constitutive model for the three-dimensional stress relaxation of articular ligaments is proposed. The model accounts for finite strains, anisotropy, and strain-dependent stress relaxation behavior exhibited by these ligaments. The model parameters are identified using published uniaxial stress-stretch and stress relaxation data on human medial collateral ligaments (MCLs) subjected to tensile tests in the fiber and transverse to the fiber directions (Quapp and Weiss in J Biomech Eng Trans ASME 120:757-763, 1998; Bonifasi-Lista et al. in J Orthop Res 23(1):67-76, 2005). The constitutive equation is then used to predict the nonlinear elastic and stress relaxation response of ligaments subjected to shear deformations in the fiber direction and transverse to the fiber direction, and an equibiaxial extension. A direct comparison with stress relaxation data collected by subjecting human MCLs to shear deformation in the fiber direction is presented in order to demonstrate the predictive capabilities of the model.
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More information
Accepted/In Press date: August 2013
Published date: June 2014
Keywords:
biaxial stretch, collagenous tissue, finite strain, mcl, medial collateral ligament, nonlinear viscoelasticity, simple shear, stress relaxation, transversely isotropic material
Organisations:
Engineering Science Unit
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Local EPrints ID: 382228
URI: http://eprints.soton.ac.uk/id/eprint/382228
ISSN: 1617-7959
PURE UUID: 6df78fe7-c482-4f2b-8c57-ce6004743cfd
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Date deposited: 27 Oct 2015 13:08
Last modified: 14 Mar 2024 21:26
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Author:
Frances M. Davis
Author:
Raffaella De Vita
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