Affine kinematics in planar fibrous connective tissues: an experimental investigation.
Biomech Model Mechanobiol. 2017-03-29; 16(4): 1459-1473
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1. Biomech Model Mechanobiol. 2017 Aug;16(4):1459-1473. doi:
10.1007/s10237-017-0899-1. Epub 2017 Mar 29.
Affine kinematics in planar fibrous connective tissues: an experimental
Jayyosi C(1), Affagard JS(2)(3), Ducourthial G(4), Bonod-Bidaud C(5), Lynch B(2),
Bancelin S(4), Ruggiero F(5), Schanne-Klein MC(4), Allain JM(2)(3),
Bruyère-Garnier K(6), Coret M(7).
(1)IFSTTAR, UMR_T9406, LBMC, Univ Lyon, Université Claude Bernard Lyon 1, F69622,
(2)LMS, Ecole Polytechnique, CNRS, Université Paris-Saclay, Palaiseau, France.
(3)Inria, Université Paris-Saclay, Palaiseau, France.
(4)LOB, Ecole Polytechnique, CNRS, INSERM, Université Paris-Saclay, Palaiseau,
(5)Institut de Génomique Fonctionnelle de Lyon, ENS-Lyon, CNRS, Université Lyon
1, Lyon, France.
(6)IFSTTAR, UMR_T9406, LBMC, Univ Lyon, Université Claude Bernard Lyon 1, F69622,
Lyon, France. .
(7)LUNAM Université, GEM, UMR CNRS 6183, Ecole Centrale de Nantes, Université de
Nantes, Palaiseau, France.
The affine transformation hypothesis is usually adopted in order to link the
tissue scale with the fibers scale in structural constitutive models of fibrous
tissues. Thanks to the recent advances in imaging techniques, such as multiphoton
microscopy, the microstructural behavior and kinematics of fibrous tissues can
now be monitored at different stretching within the same sample. Therefore, the
validity of the affine hypothesis can be investigated. In this paper, the fiber
reorientation predicted by the affine assumption is compared to experimental data
obtained during mechanical tests on skin and liver capsule coupled with
microstructural imaging using multiphoton microscopy. The values of local strains
and the collagen fibers orientation measured at increasing loading levels are
used to compute a theoretical estimation of the affine reorientation of collagen
fibers. The experimentally measured reorientation of collagen fibers during
loading could not be successfully reproduced with this simple affine model. It
suggests that other phenomena occur in the stretching process of planar fibrous
connective tissues, which should be included in structural constitutive modeling
PMID: 28357604 [Indexed for MEDLINE]