Pavel Bolshakov, Alex G. Kuchumov, Nikita Kharin, Kirill Akifyev, Evgeny Statsenko, Vadim V. Silberschmidt
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This makes the design and choice of the structure's basic cell a crucial task. This study focuses on a novel computational method, based on the basic-cell concept to design a hip endoprosthesis with an unregularly complex structure. A cube with spheroid pores was utilized as a basic cell, with each cell having its own porosity and mechanical properties. A novelty of the suggested method is in its combination of the topology optimization method and the structural design algorithm. Bending and compression cases were analyzed for a cylinder structure and two hip implants. The ability of basic-cell geometry to influence the structure's stress–strain state was shown. The relative change in the volume of the original structure and the designed cylinder structure was 6.8%. Computational assessments of a stress–strain state using the proposed method and direct modeling were carried out. The volumes of the two types of implants decreased by 9% and 11%, respectively. The maximum von Mises stress was 600 MPa in the initial design. After the algorithm application, it increased to 630 MPa for the first type of implant, while it is not changing in the second type of implant. At the same time, the load-bearing capacity of the hip endoprostheses was retained. The internal structure of the optimized implants was significantly different from the traditional designs, but better structural integrity is likely to be achieved with less material. Additionally, this method leads to time reduction both for the initial design and its variations. 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The internal structure of the optimized implants was significantly different from the traditional designs, but better structural integrity is likely to be achieved with less material. Additionally, this method leads to time reduction both for the initial design and its variations. 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引用次数: 0
摘要
人工髋关节置换术是治疗骨关节炎或功能障碍关节骨折的传统方法。为了制造出具有长期性能和生物相容性的可靠的患者专用装置,人们采用了不同的制造方法。最近,增材制造技术已成为一种很有前途的医疗器械制造技术,因为它可以制造出具有各种孔隙结构的复杂样品。此外,还可以避免传统制造方法的局限性。众所周知,设计良好的多孔结构能更好地促进细胞增殖,从而改善骨骼重塑。此外,多孔性还可用于调整所设计结构的机械性能。因此,设计和选择结构的基本细胞是一项至关重要的任务。本研究以基本细胞概念为基础,重点介绍一种新型计算方法,用于设计具有不规则复杂结构的髋关节假体。基本单元是一个具有球形孔隙的立方体,每个单元都有自己的孔隙率和机械性能。该方法的新颖之处在于将拓扑优化方法与结构设计算法相结合。对一个圆柱体结构和两个髋关节植入物的弯曲和压缩情况进行了分析。结果表明,基本单元的几何形状能够影响结构的应力应变状态。原始结构和设计的圆柱体结构体积的相对变化为 6.8%。使用建议的方法和直接建模对应力应变状态进行了计算评估。两种植入体的体积分别减少了 9% 和 11%。初始设计中的最大 von Mises 应力为 600 兆帕。应用该算法后,第一类种植体的最大 von Mises 应力增至 630 兆帕,而第二类种植体的最大 von Mises 应力没有变化。与此同时,髋关节假体的承重能力得以保留。优化后的植入体内部结构与传统设计有很大不同,但使用更少的材料就能获得更好的结构完整性。此外,这种方法还能缩短初始设计及其变化所需的时间。此外,这种方法还能通过增材制造方法生产出具有特定功能结构的医疗植入物,避免了传统技术的限制。
Method of computational design for additive manufacturing of hip endoprosthesis based on basic-cell concept
Endoprosthetic hip replacement is the conventional way to treat osteoarthritis or a fracture of a dysfunctional joint. Different manufacturing methods are employed to create reliable patient-specific devices with long-term performance and biocompatibility. Recently, additive manufacturing has become a promising technique for the fabrication of medical devices, because it allows to produce complex samples with various structures of pores. Moreover, the limitations of traditional fabrication methods can be avoided. It is known that a well-designed porous structure provides a better proliferation of cells, leading to improved bone remodeling. Additionally, porosity can be used to adjust the mechanical properties of designed structures. This makes the design and choice of the structure's basic cell a crucial task. This study focuses on a novel computational method, based on the basic-cell concept to design a hip endoprosthesis with an unregularly complex structure. A cube with spheroid pores was utilized as a basic cell, with each cell having its own porosity and mechanical properties. A novelty of the suggested method is in its combination of the topology optimization method and the structural design algorithm. Bending and compression cases were analyzed for a cylinder structure and two hip implants. The ability of basic-cell geometry to influence the structure's stress–strain state was shown. The relative change in the volume of the original structure and the designed cylinder structure was 6.8%. Computational assessments of a stress–strain state using the proposed method and direct modeling were carried out. The volumes of the two types of implants decreased by 9% and 11%, respectively. The maximum von Mises stress was 600 MPa in the initial design. After the algorithm application, it increased to 630 MPa for the first type of implant, while it is not changing in the second type of implant. At the same time, the load-bearing capacity of the hip endoprostheses was retained. The internal structure of the optimized implants was significantly different from the traditional designs, but better structural integrity is likely to be achieved with less material. Additionally, this method leads to time reduction both for the initial design and its variations. Moreover, it enables to produce medical implants with specific functional structures with an additive manufacturing method avoiding the constraints of traditional technologies.
期刊介绍:
All differential equation based models for biomedical applications and their novel solutions (using either established numerical methods such as finite difference, finite element and finite volume methods or new numerical methods) are within the scope of this journal. Manuscripts with experimental and analytical themes are also welcome if a component of the paper deals with numerical methods. Special cases that may not involve differential equations such as image processing, meshing and artificial intelligence are within the scope. Any research that is broadly linked to the wellbeing of the human body, either directly or indirectly, is also within the scope of this journal.