Affine kinematics in planar fibrous connective tissues: an experimental investigation

Jayyosi, Charles; Affagard, Jean‐Sébastien; Ducourthial, Guillaume; Bonod‐Bidaud, Christelle; Lynch, Barbara; Bancelin, Stéphane; Ruggiero, Florence; Schanne-Klein, Marie-Claire; Allain, Jean-Marc; Bruyère-Garnier, Karine; Coret, Michel

doi:10.1007/s10237-017-0899-1

Cited by 21 publications

(13 citation statements)

References 40 publications

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“…Ligaments may have complex collagen structures; the facet capsule ligament of the spine exhibits a patchwork of preferentially oriented subdomains [8]. In membranes, collagen organization is quasi-two-dimensional and some degree of preferential orientation in the plane of the membrane is expected [9][10][11][12][13], although the quantitative experimental evaluation of the difference between the in-plane and out-of-plane fibril orientation in the undeformed state is difficult.…”

Section: Introductionmentioning

confidence: 99%

Poisson's Contraction and Fiber Kinematics in Tissue: Insight From Collagen Network Simulations

Picu

Deogekar

Islam

2018

Journal of Biomechanical Engineering

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Connective tissue mechanics is highly nonlinear, exhibits a strong Poisson's effect, and is associated with significant collagen fiber re-arrangement. Although the general features of the stress-strain behavior have been discussed extensively, the Poisson's effect received less attention. In general, the relationship between the microscopic fiber network mechanics and the macroscopic experimental observations remains poorly defined. The objective of the present work is to provide additional insight into this relationship. To this end, results from models of random collagen networks are compared with experimental data on reconstructed collagen gels, mouse skin dermis, and the human amnion. Attention is devoted to the mechanism leading to the large Poisson's effect observed in experiments. The results indicate that the incremental Poisson's contraction is directly related to preferential collagen orientation. The experimentally observed downturn of the incremental Poisson's ratio at larger strains is associated with the confining effect of fibers transverse to the loading direction and contributing little to load bearing. The rate of collagen orientation increases at small strains, reaches a maximum, and decreases at larger strains. The peak in this curve is associated with the transition of the network deformation from bending dominated, at small strains, to axially dominated, at larger strains. The effect of fiber tortuosity on network mechanics is also discussed, and a comparison of biaxial and uniaxial loading responses is performed.

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Section: Introductionmentioning

confidence: 99%

Poisson's Contraction and Fiber Kinematics in Tissue: Insight From Collagen Network Simulations

Picu

Deogekar

Islam

2018

Journal of Biomechanical Engineering

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“…Other studies considered the skin as hyperelastic and isotropic and characterised the parameters of Rivlin or Ogden models . In this study, a hyperelastic model, incorporating information on the microstructure and with a natural anisotropy, was chosen so that it can be ultimately compared with experimental microstructural observations …”

Section: Discussionmentioning

confidence: 99%

Improving the experimental protocol for a more accurate identification of a given mechanical behaviour in a single assay: Application to skin

Affagard

Wijanto

Allain

2017

Strain

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Mechanical properties of the skin, the external organ of the human body, are important for many applications such as surgery or cosmetics. Due to the highly hierarchical structure of the tissue, it is interesting to develop microstructural models that have better predictability and should reduce the consequences of sample variability. However, these models generally include a quite large number of mechanical parameters. Therefore, complex assays are required to achieve a proper identification of the microstructural models. We investigated here the best experimental protocol to identify a nonlinear, anisotropic, model of skin behaviour, namely, the Holzapfel law, using displacement field and force measurements. This was done through a sensitivity analysis of the different parameters. We determined first the optimal assay, which appears to be a biaxial test with an alternated loading: first a stretch in one direction, then in the perpendicular one, and so on. To further improve the quality of the assay, we also determined the optimal geometry. Interestingly, slightly asymmetric geometries are more adequate than symmetric ones, while being easier to realise.

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“…While this concept frequently provided very satisfactory results, in particular so in the context of mitral valve leaflet modeling, we also note several experimental observations where the fibers do not follow such a deformation pattern. These observations concern the adventitia layer of carotid arteries, but also tissues beyond the cardiac realm, such as the human liver capsule and murine skin . Typically, the aforementioned deformation patterns are associated with large shear strains in the soft matrix being situated in‐between the fibers; and such discrepancies between macroscopic and microscopic strains, being incompatible with affine deformation characteristics, have also been reported for tendon fascicles .…”

Section: Introductionmentioning

confidence: 93%

Non‐affine fiber kinematics in arterial mechanics: a continuum micromechanical investigation

2018

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There is growing experimental evidence for non-affine deformations occurring in different types of fibrous soft tissues; meaning that the fiber orientations do not follow the macroscopic deformation gradient. Suitable mathematical modeling of this phenomenon is an open challenge, which we here tackle in the framework of continuum micromechanics. From a rate-based analogon of Eshelby's inhomogeneity problem, we derive strain and spin concentration tensors relating macroscopic strain rate tensors applied to the boundaries of a Representative Volume Element (RVE), to strain rates and spins within the tissue microstructure, in particular those associated with fiber rotations due to external mechanical loading. After presenting suitable algorithms for integrating the resulting rate-type governing equations, a first relevance check of the novel modeling approach is undertaken, by comparison of model results to recent experiments performed on the adventitia layer of rabbit carotid tissue. K E Y W O R D S large fiber rotations, large strain continuum micromechanics, soft tissues, spin concentration tensorThis is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.

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Affine kinematics in planar fibrous connective tissues: an experimental investigation

Cited by 21 publications

References 40 publications

Poisson's Contraction and Fiber Kinematics in Tissue: Insight From Collagen Network Simulations

Poisson's Contraction and Fiber Kinematics in Tissue: Insight From Collagen Network Simulations

Improving the experimental protocol for a more accurate identification of a given mechanical behaviour in a single assay: Application to skin

Non‐affine fiber kinematics in arterial mechanics: a continuum micromechanical investigation

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