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A Model of Changing of Physical–Mechanical Properties and Accumulations of Damages in Joints of a Person

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Mathematical Models of Exoskeleton

Abstract

Much of the medical literature is dedicated to the description of the work of human joints and their pathologies. Joint pathologies resulting in total endoprosthesis replacement have been studied; the endoprosthesis models and further observation of their operation are described.

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References

  1. Gavryushenko, N.S.: Material science aspects of designing of erosion-resistant friction units of simulated human joints, 234 pp. Thesis of Doctor of Science, Moscow (2000) (in Russian)

    Google Scholar 

  2. Shataeva, E.V.: Biomechanical fundamentals of diagnostics of the functional state of the “endoprothesis-bone” system, 208 pp. Thesis of Doctor of Science, Saint-Petrsburg (2003) (in Russian)

    Google Scholar 

  3. Sotin, A.V.: Mechanics of interplay of a root of an endoprothesis of a hip joint with a cortical layer of a femoral bone, 109 pp. Thesis of Candidate of Science, Perm (2005) (in Russian)

    Google Scholar 

  4. Afonin, P.N.: Methods and means of computer diagnostics of the spinal column of a human, 276 pp. Thesis of Doctor of Science, Moscow (2003) (in Russian)

    Google Scholar 

  5. Timanin, E.M.: Theoretical and experimental fundamentals of vibroacoustic viscoelography of soft biological tissues, 265 pp. Thesis of Doctor of Science, Nizhni Novgorod (2006) (in Russian)

    Google Scholar 

  6. Skvorchevskiy, К.A.: Fiber-optic measuring systems in problems of biomechanics, 184 pp. Thesis of Doctor of Science, Moscow (2004) (in Russian)

    Google Scholar 

  7. Matthewson, M.J.: Axi-symmetric contact on thin complain coatings. J. Mech. Phys. 29(2), 89–113 (1981)

    Article  Google Scholar 

  8. Chigarev, A.V., Chigarev, Yu.V.: A self-consistent method of calculation of effective coefficients of inhomogeneous mediums with continuous distribution of physical-mechanical properties. Rep. Acad. Sci. USSR 313(2), 292–295 (1990) (in Russian)

    Google Scholar 

  9. Kroner, F.: Elastic moduli of perfectly disordered composite materials. J. Mech. Phys. Solids 15(5), 319–324 (1967)

    Article  Google Scholar 

  10. Bražėnas, A., Vaičiulis, D.: Determination of stresses and strains in two-layer mechanically inhomogeneous pipe subjected to internal pressure at elastic plastic loading. Mechanika Kaunas: Technologija 6(80), 12–17 (2009)

    Google Scholar 

  11. Kravchuk, A.S., Chigarev, A.V.: Mechanics of contact interplay of bodies with circumferential borders, 196 pp. Tehnoprint, Minsk (2000) (in Russian)

    Google Scholar 

  12. Drozd, S.G.: Contact interplay spherical friction pairs with allowance for damages accumulation and changes of physical-mechanical properties in the surface layer. Frict. Wearing 17(2) (March–April 1996) (in Russian)

    Google Scholar 

  13. Ghannad, M., Zamani Nejad, M., Rahimi, G.H.: Elastic solution of axisymmetric thick truncated conical shells based on first-order shear deformation theory. Mechanika Kaunas: Technologija 5(79), 13–20 (2009)

    Google Scholar 

  14. Konovalenko, I.S.: Analytical study of deformation and destruction of porous materials of medical assigning and biomechanical structures. Author’s Abstract of Thesis of Candidate of Sciences, Tomsk (2007) (in Russian)

    Google Scholar 

  15. Matlin, M., Kazankina, E., Kazankin, V.: Mechanics of initial dot contact. Mechanika Kaunas: Technologija 2(76), 20–23 (2009)

    Google Scholar 

  16. Landau, L.D., Livschitz, E.M.: A Theory of Elastity, 246 pp. Nauka, Moscow (1987) (in Russian)

    Google Scholar 

  17. Patsahan, T., Taleb, A., Stafiej, J., Holovko, M., Badiali, J.P.: Stochastic simulation of destruction processes in self-irradiated materials. Condensed Matter Phys. 20, 33003 (2017). https://doi.org/10.5488/CMP.20.33003

  18. Ramazanov, M., Aslanov, M.: The change of physical-mechanical properties of viscoelastic liquids in consideration of nanoparticles. Appl. Math. 4, 1367–1370 (2013).https://doi.org/10.4236/am.2013.410184

  19. Petrů, M., Novák, O.: Measurement and numerical modeling of mechanical properties of polyurethane foams. In: Yilmaz, F. (ed.) Aspects of Polyurethanes. IntechOpen (September 27th 2017). https://doi.org/10.5772/intechopen.69700. Available from: https://www.intechopen.com/chapters/56306

  20. Aliyev, G.G.: Experimental-theoretical method for defining physical-mechanical properties of polymer materials with regard to change of their physical-chemical properties. In: Methodologies and Applications for Chemoinformatics and Chemical Engineering (2013).https://doi.org/10.4018/978-1-4666-4010-8.ch014

  21. Gao, L., Luo, Y., Kang, Y., Gao, M., Abdulhafidh, O.: Experimental study on physical mechanical properties and microstructure of diatomite soil in Zhejiang Province, China. Appl. Sci. 12(1), 387 (2022). https://doi.org/10.3390/app12010387

    Article  Google Scholar 

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Correspondence to Andrey Valerievich Borisov .

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Borisov, A.V., Chigarev, A.V. (2022). A Model of Changing of Physical–Mechanical Properties and Accumulations of Damages in Joints of a Person. In: Mathematical Models of Exoskeleton. Studies in Systems, Decision and Control, vol 431. Springer, Cham. https://doi.org/10.1007/978-3-030-97733-7_2

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  • DOI: https://doi.org/10.1007/978-3-030-97733-7_2

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  • Print ISBN: 978-3-030-97732-0

  • Online ISBN: 978-3-030-97733-7

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