A nonlinear constitutive model for stress relaxation in ligaments and tendons
A nonlinear constitutive model for stress relaxation in ligaments and tendons
A novel constitutive model that describes stress relaxation in transversely isotropic soft collagenous tissues such as ligaments and tendons is presented. The model is formulated within the nonlinear integral representation framework proposed by Pipkin and Rogers (J. Mech. Phys. Solids. 16:59-72, 1968). It represents a departure from existing models in biomechanics since it describes not only the strain dependent stress relaxation behavior of collagenous tissues but also their finite strains and transverse isotropy. Axial stress-stretch data and stress relaxation data at different axial stretches are collected on rat tail tendon fascicles in order to compute the model parameters. Toward this end, the rat tail tendon fascicles are assumed to be incompressible and undergo an isochoric axisymmetric deformation. A comparison with the experimental data proves that, unlike the quasi-linear viscoelastic model (Fung, Biomechanics: Mechanics of Living Tissues. Springer, New York, 1993) the constitutive law can capture the observed nonlinearities in the stress relaxation response of rat tail tendon fascicles.
animals, computer simulation, ligaments, models, biological, rats, stress, physiological, tail, tendons
2541-2550
Davis, Frances M.
20f89066-bbac-42dc-908d-d89a747dc399
De Vita, Raffaella
4c91bf7a-7fa6-43c8-ae7a-0f244d244c92
December 2012
Davis, Frances M.
20f89066-bbac-42dc-908d-d89a747dc399
De Vita, Raffaella
4c91bf7a-7fa6-43c8-ae7a-0f244d244c92
Davis, Frances M. and De Vita, Raffaella
(2012)
A nonlinear constitutive model for stress relaxation in ligaments and tendons.
Annals of Biomedical Engineering, 40 (12), .
(doi:10.1007/s10439-012-0596-2).
(PMID:22648576)
Abstract
A novel constitutive model that describes stress relaxation in transversely isotropic soft collagenous tissues such as ligaments and tendons is presented. The model is formulated within the nonlinear integral representation framework proposed by Pipkin and Rogers (J. Mech. Phys. Solids. 16:59-72, 1968). It represents a departure from existing models in biomechanics since it describes not only the strain dependent stress relaxation behavior of collagenous tissues but also their finite strains and transverse isotropy. Axial stress-stretch data and stress relaxation data at different axial stretches are collected on rat tail tendon fascicles in order to compute the model parameters. Toward this end, the rat tail tendon fascicles are assumed to be incompressible and undergo an isochoric axisymmetric deformation. A comparison with the experimental data proves that, unlike the quasi-linear viscoelastic model (Fung, Biomechanics: Mechanics of Living Tissues. Springer, New York, 1993) the constitutive law can capture the observed nonlinearities in the stress relaxation response of rat tail tendon fascicles.
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Accepted/In Press date: May 2012
Published date: December 2012
Keywords:
animals, computer simulation, ligaments, models, biological, rats, stress, physiological, tail, tendons
Organisations:
Engineering Science Unit
Identifiers
Local EPrints ID: 382227
URI: http://eprints.soton.ac.uk/id/eprint/382227
ISSN: 0090-6964
PURE UUID: 2e1e114c-fb70-4da5-8429-50b66bf4d47d
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Date deposited: 22 Oct 2015 13:41
Last modified: 14 Mar 2024 21:26
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Author:
Frances M. Davis
Author:
Raffaella De Vita
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