Tissues are intrinsically non-linear, anisotropic, viscoelastic, and
undergo a process of mechanical adaptation (preconditioning). Previous
constitutive laws considered one or two of these response aspects,
often resulting in inadequate fit to data. Here we developed a general
constitutive formulation encompassing the entire set of features.
To exemplify this novel approach, constitutive equation for the skin
was developed by stochastic incorporation of the fibers' orientation
and undulation distributions. Predictions were contrasted with biaxial
data of rabbit skin. The significance of each micro-feature was examined
by sensitivity analysis. The results show that micro-structure based
rheological characterization provides reliable representation under
multiple biaxial protocols. Parametric investigation points to the
essential roles of the fibers' orientation distributions (elastin
and collagen) and waviness (collagen), their respective stress-strain
relationship, and their viscoelasticity and preconditioning adaptation.
The effect of ground substance is small but significant for model-to-data
fit. Although the collagen is two order of magnitude stiffer, the
contribution of elastin is predominant at low strains, and still
significant (up to 20%) at high strains at which collagen carries
the major load. The results are consistent with collagen preconditioning
steming from stretch induced increase in the reference length, while
in elastin it is the Mullins effect (strain softening). The most
important impact of the study is that for the first time the entire
scope of multi-axial tissue properties are unified in a single constitutive
formulation. The potential implications are on the procedures of
tissues characterization and on the design and analysis of artificial
tissue scaffolds.
%0 Journal Article
%1 Lokshin2009
%A Lokshin, Olga
%A Lanir, Yoram
%D 2009
%J Biomaterials
%K Connective Constitutive In Micro-structure, Preconditioning, Viscoelasticity, modelling, test tissue, vitro
%N 17
%P 3118--3127
%T Micro and macro rheology of planar tissues
%U http://www.sciencedirect.com/science/article/B6TWB-4VXJVY9-1/2/a1799b8ccf5b05fe76aa86d0e6a34907
%V 30
%X Tissues are intrinsically non-linear, anisotropic, viscoelastic, and
undergo a process of mechanical adaptation (preconditioning). Previous
constitutive laws considered one or two of these response aspects,
often resulting in inadequate fit to data. Here we developed a general
constitutive formulation encompassing the entire set of features.
To exemplify this novel approach, constitutive equation for the skin
was developed by stochastic incorporation of the fibers' orientation
and undulation distributions. Predictions were contrasted with biaxial
data of rabbit skin. The significance of each micro-feature was examined
by sensitivity analysis. The results show that micro-structure based
rheological characterization provides reliable representation under
multiple biaxial protocols. Parametric investigation points to the
essential roles of the fibers' orientation distributions (elastin
and collagen) and waviness (collagen), their respective stress-strain
relationship, and their viscoelasticity and preconditioning adaptation.
The effect of ground substance is small but significant for model-to-data
fit. Although the collagen is two order of magnitude stiffer, the
contribution of elastin is predominant at low strains, and still
significant (up to 20%) at high strains at which collagen carries
the major load. The results are consistent with collagen preconditioning
steming from stretch induced increase in the reference length, while
in elastin it is the Mullins effect (strain softening). The most
important impact of the study is that for the first time the entire
scope of multi-axial tissue properties are unified in a single constitutive
formulation. The potential implications are on the procedures of
tissues characterization and on the design and analysis of artificial
tissue scaffolds.
@article{Lokshin2009,
abstract = {Tissues are intrinsically non-linear, anisotropic, viscoelastic, and
undergo a process of mechanical adaptation (preconditioning). Previous
constitutive laws considered one or two of these response aspects,
often resulting in inadequate fit to data. Here we developed a general
constitutive formulation encompassing the entire set of features.
To exemplify this novel approach, constitutive equation for the skin
was developed by stochastic incorporation of the fibers' orientation
and undulation distributions. Predictions were contrasted with biaxial
data of rabbit skin. The significance of each micro-feature was examined
by sensitivity analysis. The results show that micro-structure based
rheological characterization provides reliable representation under
multiple biaxial protocols. Parametric investigation points to the
essential roles of the fibers' orientation distributions (elastin
and collagen) and waviness (collagen), their respective stress-strain
relationship, and their viscoelasticity and preconditioning adaptation.
The effect of ground substance is small but significant for model-to-data
fit. Although the collagen is two order of magnitude stiffer, the
contribution of elastin is predominant at low strains, and still
significant (up to 20%) at high strains at which collagen carries
the major load. The results are consistent with collagen preconditioning
steming from stretch induced increase in the reference length, while
in elastin it is the Mullins effect (strain softening). The most
important impact of the study is that for the first time the entire
scope of multi-axial tissue properties are unified in a single constitutive
formulation. The potential implications are on the procedures of
tissues characterization and on the design and analysis of artificial
tissue scaffolds.},
added-at = {2009-08-01T18:41:40.000+0200},
author = {Lokshin, Olga and Lanir, Yoram},
biburl = {https://www.bibsonomy.org/bibtex/22933f90cb22da900de67a5036086d17c/jaksonmv},
file = {:D\:\\Users\\Jaksonmv\\Documents\\papers\\Lokshin2009.pdf:PDF},
interhash = {d86e7d544551c76aa873e72e2f6c914f},
intrahash = {2933f90cb22da900de67a5036086d17c},
issn = {0142-9612},
journal = {Biomaterials},
keywords = {Connective Constitutive In Micro-structure, Preconditioning, Viscoelasticity, modelling, test tissue, vitro},
month = {June},
number = 17,
owner = {Jaksonmv},
pages = {3118--3127},
timestamp = {2009-08-01T18:41:45.000+0200},
title = {Micro and macro rheology of planar tissues},
url = {http://www.sciencedirect.com/science/article/B6TWB-4VXJVY9-1/2/a1799b8ccf5b05fe76aa86d0e6a34907},
volume = 30,
year = 2009
}