Deformation and the Structure of Cartilage Tissue


  • Yu.F. Zabashta Taras Shevchenko National University of Kyiv, Faculty of Physics
  • V.I. Kovalchuk Taras Shevchenko National University of Kyiv, Faculty of Physics
  • O.S. Svechnikova Taras Shevchenko National University of Kyiv, Faculty of Physics
  • L.Yu. Vergun Taras Shevchenko National University of Kyiv, Faculty of Physics
  • L.A. Bulavin Taras Shevchenko National University of Kyiv, Faculty of Physics



cartilage tissue, compliance tensor, shear modulus, Young’s modulus


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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How to Cite

Zabashta, Y., Kovalchuk, V., Svechnikova, O., Vergun, L., & Bulavin, L. (2024). Deformation and the Structure of Cartilage Tissue. Ukrainian Journal of Physics, 69(5), 329.



Liquid crystals and polymers

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