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Analysis of Articular Cartilage As A Composite Using Nonlinear Membrane Elements for Collagen Fibrils)
Reza Shirazi
Ecole Polytechnique de Montreal, Canada
To develop an axisymmetric composite fibre-reinforced model of the cartilage, membrane elements were introduced to represent collagen fibrils reinforcing the isotropic porous solid matrix filled with fluid. Nonlinear stress-strain curve of pure collagen fibres and collagen volume fraction were explicitly presented in the formulation of these membrane elements via subroutine UMAT. Different unconfined compression and indentation case studies were performed to determine the distinct role of membrane collagen fibrils in nonlinear poroelastic mechanics of articular cartilage. The importance of nonlinear fibril membrane elements in the tissue relaxation response as well as in temporal and spatial variations of pore pressure and solid matrix stresses was demonstrated.
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