Experiments in human ligaments revealed that the rate of stress relaxation
in such materials is strain dependent. This nonlinear behavior requires
therefore a modified description of the standard quasilinear viscoelasticity
theory commonly used in tissue biomechanics. The goal of this study
is to characterize and demonstrate the importance of the nonlinear
stress-relaxation behavior of ligaments undergoing finite deformation.
The structural model presented herein is based on a local additive
decomposition of the stress tensor into initial and non-equilibrium
parts as resulted from the assumed structure of the free energy density
function that generalizes Kelvin-Voigt nonlinear viscous models.
We consider different viscoelastic behavior for the matrix and the
fibers and the need of considering the strain dependency of this
effect is clearly demonstrated. Model parameters were fit to experimental
data obtained in specimens undergoing finite deformation in two directions:
longitudinal and transversal with respect to the directions of the
collagen fibers. The model was then tested against several multi-axial
loading situations. The strain dependent relaxation and the strain
rate dependent behavior of the human medial collateral ligament were
accurately predicted.
%0 Journal Article
%1 Pena2008
%A Pe�a, E.
%A Pe�a, J.A.
%A Doblar�, M.
%D 2008
%J Journal of Biomechanics
%K Anisotropy, Finite Hyperelasticity, Large Ligaments, Nonlinear analysis deformation, element viscoelasticity,
%N 12
%P 2659--2666
%T On modelling nonlinear viscoelastic effects in ligaments
%U http://www.sciencedirect.com/science/article/B6T82-4T3KTH2-4/2/fbd6d47c5e1e4283c057a2daa02f755c
%V 41
%X Experiments in human ligaments revealed that the rate of stress relaxation
in such materials is strain dependent. This nonlinear behavior requires
therefore a modified description of the standard quasilinear viscoelasticity
theory commonly used in tissue biomechanics. The goal of this study
is to characterize and demonstrate the importance of the nonlinear
stress-relaxation behavior of ligaments undergoing finite deformation.
The structural model presented herein is based on a local additive
decomposition of the stress tensor into initial and non-equilibrium
parts as resulted from the assumed structure of the free energy density
function that generalizes Kelvin-Voigt nonlinear viscous models.
We consider different viscoelastic behavior for the matrix and the
fibers and the need of considering the strain dependency of this
effect is clearly demonstrated. Model parameters were fit to experimental
data obtained in specimens undergoing finite deformation in two directions:
longitudinal and transversal with respect to the directions of the
collagen fibers. The model was then tested against several multi-axial
loading situations. The strain dependent relaxation and the strain
rate dependent behavior of the human medial collateral ligament were
accurately predicted.
@article{Pena2008,
abstract = {Experiments in human ligaments revealed that the rate of stress relaxation
in such materials is strain dependent. This nonlinear behavior requires
therefore a modified description of the standard quasilinear viscoelasticity
theory commonly used in tissue biomechanics. The goal of this study
is to characterize and demonstrate the importance of the nonlinear
stress-relaxation behavior of ligaments undergoing finite deformation.
The structural model presented herein is based on a local additive
decomposition of the stress tensor into initial and non-equilibrium
parts as resulted from the assumed structure of the free energy density
function that generalizes Kelvin-Voigt nonlinear viscous models.
We consider different viscoelastic behavior for the matrix and the
fibers and the need of considering the strain dependency of this
effect is clearly demonstrated. Model parameters were fit to experimental
data obtained in specimens undergoing finite deformation in two directions:
longitudinal and transversal with respect to the directions of the
collagen fibers. The model was then tested against several multi-axial
loading situations. The strain dependent relaxation and the strain
rate dependent behavior of the human medial collateral ligament were
accurately predicted.},
added-at = {2009-08-01T18:41:40.000+0200},
author = {Pe�a, E. and Pe�a, J.A. and Doblar�, M.},
biburl = {https://www.bibsonomy.org/bibtex/24d3294457d9669f50ca832968eed3d43/jaksonmv},
file = {:D\:\\Users\\Jaksonmv\\Documents\\papers\\Pena2008.pdf:PDF},
interhash = {8caae2af9f6bd5b5a500e88570d8e701},
intrahash = {4d3294457d9669f50ca832968eed3d43},
issn = {0021-9290},
journal = {Journal of Biomechanics},
keywords = {Anisotropy, Finite Hyperelasticity, Large Ligaments, Nonlinear analysis deformation, element viscoelasticity,},
month = {August},
number = 12,
owner = {Jaksonmv},
pages = {2659--2666},
timestamp = {2009-08-01T18:41:47.000+0200},
title = {On modelling nonlinear viscoelastic effects in ligaments},
url = {http://www.sciencedirect.com/science/article/B6T82-4T3KTH2-4/2/fbd6d47c5e1e4283c057a2daa02f755c},
volume = 41,
year = 2008
}