Deformation and the Structure of Cartilage Tissue
DOI:
https://doi.org/10.15407/ujpe69.5.329Keywords:
cartilage tissue, compliance tensor, shear modulus, Young’s modulusAbstract
We propose a model of the structure of cartilage tissue which is considered as a set of local equilibrium regions. Every region is a lattice formed by plates (proteoglycan aggregates) and collagen fibers. A deformation of cartilage tissue under the action of an external load mainly occurs through the bending of chains entering the content of proteoglycan aggregates. Formulas for the shear and Young’s moduli of cartilage tissue have been derived. It is shown that these parameters are reciprocal to the square of the collagen fiber diameter, and their values are equal to 106 Pa by order of magnitude, which agrees with experimental data.
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