Many soft tissues are naturally made of a matrix and fibres that present some privileged
directions. They are known to support large reversible deformations. The mechanical …

The highly organized structure and composition of the annulus fibrosus provides the tissue
with mechanical behaviors that include anisotropy and nonlinearity. Mathematical models …

Finite element (FE) models are advantageous in the study of intervertebral disc mechanics
as the stress–strain distributions can be determined throughout the tissue and the applied …

The human body consists of many different soft biological tissues that exhibit diverse
microstructures and functions and experience diverse loading conditions. Yet, under many …

Collagen fibers within the annulus fibrosus (AF) lamellae are unidirectionally aligned with
alternating orientations between adjacent layers. AF constitutive models often combine two …

In the present paper, we consider a class of constitutive models based on numerical
integration on the unit sphere. The directional behaviour of the quadrature schemes and its …

This work presents a method for computing the averaged free energy and constitutive
relations in hyperelastic material models with distributed fibres, as they apply to soft fibre …

The contribution at hand focuses on the introduction of a new constitutive approach at finite
deformations to represent an initially anisotropic material behavior accounting for fibers …

Study Design. Integrating theoretical and experimental approaches for annulus fibrosus (AF)
functional tissue engineering. Objective. Apply a hyperelastic constitutive model to …

The inter-lamellar connectivity of the annulus fibrosus in the intervertebral disc has been
shown to affect the prediction of the overall disc behaviour in computational models. Using a …