Modeling of human intervertebral disc annulus fibrosus with complex multi-fiber networks

[Display omitted] Collagen fibers within the annulus fibrosus (AF) lamellae are unidirectionally aligned with alternating orientations between adjacent layers. AF constitutive models often combine two adjacent lamellae into a single equivalent layer containing two fiber networks with a crisscross pa...

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Bibliographic Details
Published in:Acta biomaterialia 2021-03, Vol.123, p.208-221
Main Authors: Ghezelbash, Farshid, Eskandari, Amir Hossein, Shirazi-Adl, Aboulfazl, Kazempour, Morteza, Tavakoli, Javad, Baghani, Mostafa, Costi, John J
Format: Article
Language:English
Subjects:
Anisotropy
Annuli
Annulus Fibrosus
Axial stress
Biaxial tests
Biomechanical Phenomena
Boundary conditions
Collagen
Compression
Compression tests
Constitutive modeling
Constitutive models
Elastic anisotropy
Equivalence
Fibers
Finite element
Humans
Intervertebral Disc
Intervertebral discs
Lamella
Lamellae
Mathematical models
Matrix methods
Models, Biological
Modulus of elasticity
Networks
Pressure
Simulation
Skewed distributions
Specimen geometry
Strain
Stress
Stress, Mechanical
Stress-strain relationships
Tissues
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Summary:[Display omitted] Collagen fibers within the annulus fibrosus (AF) lamellae are unidirectionally aligned with alternating orientations between adjacent layers. AF constitutive models often combine two adjacent lamellae into a single equivalent layer containing two fiber networks with a crisscross pattern. Additionally, AF models overlook the inter‐lamellar matrix (ILM) as well as elastic fiber networks in between lamellae. We developed a nonhomogenous micromechanical model as well as two coarser homogenous hyperelastic and microplane models of the human AF, and compared their performances against measurements (tissue level uniaxial and biaxial tests as well as whole disc experiments) and seven published hyperelastic models. The micromechanical model had a realistic non-homogenous distribution of collagen fiber networks within each lamella and elastic fiber network in the ILM. For small matrix linear moduli (10%) due to the elastic fiber network. However, at moduli >0.2 MPa, the effects of the elastic fiber network on differences in stress-strain responses at different directions disappeared (
ISSN:1742-7061
1878-7568
DOI:10.1016/j.actbio.2020.12.062