FINITE ELEMENT ANALYSIS OF THE STRESS-STRAIN STATE OF 3D COMPUTER GENERATED IMAGING OF REVERSE TOTAL SHOULDER ENDOPROSTHESES

Mykola Korzh, Vasyl Makarov, Marcin Chilik, Serhii Zdanevych, Maksym Smoliar
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Abstract

Objective. To conduct a finite element analysis of the stress-strain state (STS) of the elements of the shoulder joint after implantation reverse shoulder endoprostheses. Material and methods. After 3Dscanning of the composite model of the scapula and humerus, geometric models of the shoulder joint were built in the SolidWorks 2019 SP 1.0 program, followed by mathematical modeling and FEA. For the comparative analysis of the STS of the «bone – reverse endoprosthesis» s ystem, t hree-dimensional m odels o f two types of reverse shoulder endoprostheses were created, which were then transformed into a finite-element model and implanted into the developed three-dimensional mathematical model of the shoulder joint without cement. The STS calculations of the elements of endoprostheses were carried out for two positions: abduction 90° and flexion 90° with a load of 5 kg. Results. Compared to the healthy shoulder joint, models with reverse shoulder endoprosthesis have significantly different contact stresses and contact areas. It was established that the maximum stress in the details of the contact parts of the endoprosthesis when retracted at an angle of 90° did not exceed +1.78 MPa, when bending +5.8 MPa. The maximum stresses on the liner during shoulder abduction are +8.6 MPa, the minimum –7.38 MPa, during flexion +2.3 MPa and –2.45 MPa, respectively. It has been proven that the contact areas of the hemisphere and inserts of both reverse endoprostheses during abduction and flexion of the limb by 90° are significantly larger (573 mm2 vs. 1809–2081 mm2) when compared with a healthy shoulder joint, while changes in the area between the endoprostheses are insignificant and equal to 2...3 %. Conclusions. Analysis of the STS load of elements of reverse shoulder endoprosthesis showed that the greatest stresses occur in the contact zones. It has been proven that the maximum stresses on the contact structures of endoprostheses are less than on the head of a healthy joint, but the contact area during implantation of a reversible endoprosthesis of the shoulder joint increases significantly (more than 3 times).
逆向全肩关节内假体三维计算机成像应力-应变状态的有限元分析
目标。目的:对肩关节单元植入后的应力-应变状态(STS)进行有限元分析。材料和方法。对肩胛骨和肱骨复合模型进行三维扫描后,在SolidWorks 2019 SP 1.0程序中建立肩关节几何模型,然后进行数学建模和有限元分析。为了对比分析“骨-反向假体”系统的STS,我们建立了两种反向肩关节假体的三维模型,并将其转化为有限元模型,植入已建立的无骨水泥肩关节三维数学模型。在载荷为5 kg的情况下,对假体外展90°和屈曲90°两种体位进行STS计算。结果。与健康肩关节相比,反向肩关节内假体模型的接触应力和接触面积有显著差异。结果表明,当人工牙体以90°角度收缩时,其接触部位的最大应力不超过+1.78 MPa,弯曲时不超过+5.8 MPa。肩关节外展时内胆承受的最大应力为+8.6 MPa,最小应力为-7.38 MPa,屈曲时内胆承受的应力为+2.3 MPa和-2.45 MPa。研究证明,与健康肩关节相比,在肢体外展和肢体屈曲90°时,两种反向假体的半球和插入物的接触面积明显更大(573 mm2比1809-2081 mm2),而假体之间的面积变化不显著,等于2…3%。结论。对反向肩关节内假体构件的STS载荷分析表明,最大应力发生在接触区。研究证明,肩关节可逆内假体植入过程中,肩关节接触结构的最大应力小于健康关节头部,但接触面积明显增加(超过3倍)。
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