ANALYSIS OF THE STRESS-STRAIN STATE THREE-DIMENSIONAL MODEL OF A HEALTHY SHOULDER JOINT

Authors

  • Mykola Korzh Sytenko Institute of Spine and Joint Pathology National Academy of Medical Sciences of Ukraine, Kharkiv, Ukraine https://orcid.org/0000-0002-0489-3104
  • Vasyl Makarov Municipal non-profit enterprise «City Clinical Hospital № 16» of the Dnipro City Council. Ukraine, Ukraine
  • Smerdov Smerdov Bauman University, Moscow. Russian Federation, Ukraine
  • Оleksiy Tankut Sytenko Institute of Spine and Joint Pathology National Academy of Medical Sciences of Ukraine, Kharkiv, Russian Federation
  • Pidgaiska Pidgaiska Sytenko Institute of Spine and Joint Pathology National Academy of Medical Sciences of Ukraine, Kharkiv, Ukraine https://orcid.org/0000-0002-5025-977X
  • Sergiy Zdanevych Dnipro State Agrarian and Economic University. Ukraine, Ukraine

DOI:

https://doi.org/10.15674/0030-59872021327-36

Keywords:

Shoulder joint, humerus, articular cartilage, contact area of the scapula, three-dimensional model, finite element method, stress-strain state

Abstract

Objective. To work out as close as possible to normal human anatomy three-dimensional finite element model of the shoulder joint with elastic ligaments as well as with muscles and the spatial location of their attachment points, to analyze the stress-strain state of the element proximal humerus and scapula. Methods. A geometric model of the humerus and scapulae are constructed. The three-dimensional modeling of the shoulder join based on the geometric models  was used with software SolidWorks with mathematical modeling method finite elements and the stress-strain state analysis in the application
package Ansys software. To approach the real conditions of the model we have added the elastic elements that mimic muscles. Model loaded with forces that reproduce the effort in the muscles, applied to the respective contact planes on the humerus head of the human bone. The stress-strain state of proximal elements is calculated in the humerus and scapula for the angles of the abduction  — 0 °, 30°, 60° and 90° in neutral rotation of the humerus.
Results. The tensile stresses in the scapula are distributed in such a way that at an angle of 0 ° the limb is not raised +5.67 MPa in the area below the joint depressions. The minimum values of the compressive stress have been reached 18.5 MPa. Maximum stresses are in 1.5–2 times higher area of the articular cartilage of the humerus head compared to the cartilage of the glenoid cavity of the scapula. It is established that the dependence of the values
of the area of the contact zone in the range of change limb abduction angle (0° ... 90°) can be approximated section of a cubic parabola, with changes in area insignificant and are equal to +2.26% — 7.3 % of the value in neutral position at an angle of 0°. Minor differences with the results of similar studies indicate that the validity of the developed mathematical model. Conclusions. The proposed model would allow performing more correct mathematical modeling and comparative analysis of the stress-strain state for various methods of surgical treatment of pathology shoulder joint, in particular arthroplasty.

Author Biographies

Mykola Korzh, Sytenko Institute of Spine and Joint Pathology National Academy of Medical Sciences of Ukraine, Kharkiv

MD, Prof. in Traumatology and Orthopaedics

Vasyl Makarov, Municipal non-profit enterprise «City Clinical Hospital № 16» of the Dnipro City Council. Ukraine

MD, PhD in Orthopaedics and Traumatology

Smerdov Smerdov, Bauman University, Moscow. Russian Federation

PhD in Tech. Sci.

Оleksiy Tankut, Sytenko Institute of Spine and Joint Pathology National Academy of Medical Sciences of Ukraine, Kharkiv

MD, PhD in Traumatology and Orthopаedics

Pidgaiska Pidgaiska, Sytenko Institute of Spine and Joint Pathology National Academy of Medical Sciences of Ukraine, Kharkiv

MD, PhD in Traumatology and Orthopaedics

Sergiy Zdanevych, Dnipro State Agrarian and Economic University. Ukraine

PhD in Tech. Sci.

References

Haering, D., Raison, M., & Begon, M. (2014). Measurement and description of three-dimensional shoulder range of motion with degrees of freedom interactions. Journal of Biomechanical Engineering, 136(8). https://doi.org/10.1115/1.4027665

Lazarev, I. A., Lomko, V. M., Strafun, S. S., & Skiban, M. V. (2018). Comparative analysis of changes in the stress-strain state on the cartilage of the humeral head in conditions of different types of damage to the articular lip of the scapula. Trauma, 19(2), 51–59. https://doi.org/10.22141/1608-1706.2.19.2018.130654. [in Ukrainian]

Zheng, M., Zou, Z., Bartolo, P. J., Peach, C., & Ren, L. (2016). Finite element models of the human shoulder complex: A review of their clinical implications and modelling techniques. International Journal for Numerical Methods in Biomedical Engineering, 33(2), e02777. https://doi.org/10.1002/cnm.2777

Lazarev, I. A., Kopchak, A. V., & Skiban, M. V. (2019). Finite element modeling in biomechanical research in orthopedics and traumatology. Bulletin of orthopedics, traumatology and prosthetics, 1, 92–101. [in Ukrainian]

Apreleva, M., Parsons, I., Warner, J. J., Fu, F. H., & Woo, S. L. (2000). Experimental investigation of reaction forces at the glenohumeral joint during active abduction. Journal of Shoulder and Elbow Surgery, 9(5), 409-417. https://doi.org/10.1067/mse.2000.106321

Parsons, I. M., Apreleva, M., Fu, F. H., & Woo, S. L. (2002). The effect of rotator cuff tears on reaction forces at the glenohumeral joint. Journal of Orthopaedic Research, 20(3), 439-446. https://doi.org/10.1016/s0736-0266(01)00137-1

Haering, D., Raison, M., & Begon, M. (2014). Measurement and description of three-dimensional shoulder range of motion with degrees of freedom interactions. Journal of Biomechanical Engineering, 136(8). https://doi.org/10.1115/1.4027665

Asadi Nikooyan, A., Veeger, H. E., Chadwick, E. K., Praagman, M., & Van der Helm, F. C. (2011). Development of a comprehensive musculoskeletal model of the shoulder and elbow. Medical & Biological Engineering & Computing, 49(12), 1425-1435. https://doi.org/10.1007/s11517-011-0839-7

Reilly, D. T., Burstein, A. H., & Frankel, V. H. (1974). The elastic modulus for bone. Journal of Biomechanics, 7(3), 271-275. https://doi.org/10.1016/0021-9290(74)90018-9

Rice, J., Cowin, S., & Bowman, J. (1988). On the dependence of the elasticity and strength of cancellous bone on apparent density. Journal of Biomechanics, 21(2), 155-168. https://doi.org/10.1016/0021-9290(88)90008-5

Büchler, P., Ramaniraka, N., Rakotomanana, L., Iannotti, J., & Farron, A. (2002). A finite element model of the shoulder: Application to the comparison of normal and osteoarthritic joints. Clinical Biomechanics, 17(9-10), 630-639. https://doi.org/10.1016/s0268-0033(02)00106-7

Gallager, R. (1984). Method of finite elements. Basics. Moscow: Mir. [in Russian]

Zenkevich, O. K. (1970). The finite element method: from intuition to generality. Moscow: Mechanics. [in Russian]

Gadala, M. (2020). Finite elements for engineers with Ansys applications. Cambridge: Cambridge University Press

Gunneswara Rao, T. D., & Mudimby A. (2018). Strength of Materials: Fundamentals and Applications. Cambridge University Press

Singh, D., Rana, A., Jhajhria, S. K., Garg, B., Pandey, P. M., & Kalyanasundaram, D. (2018). Experimental assessment of biomechanical properties in human male elbow bone subjected to bending and compression loads. Journal of Applied Biomaterials & Functional Materials, 17(2), 228080001879381. https://doi.org/10.1177/2280800018793816

Volkov, A. A., Beloselsky, N. N., & Pribytkov, Yu. N. (2015). Absorptiometric analysis of some quantitative and qualitative indicators of bone tissue status assessed by a quantitative computed tomography in women of different ages. Osteoporosis and Bone Diseases, 18(2), 3–5. https://doi.org/10.14341/osteo201523-5. [in Russian]

Rubin, C., & Rubin, J. (2006). Biomechanics and Mechanobiology of Bone. Primer on Metabolic Bone Diseases and Disorders of Mineral Metabolism. 6th еd.

Published

2021-11-30

Issue

Section

ORIGINAL ARTICLES

Most read articles by the same author(s)

1 2 3 4 5 6 7 8 9 > >>