Design of functionally graded porous lattice structure tibial implant for TAR

IF 7.1 1区 工程技术 Q1 ENGINEERING, MECHANICAL International Journal of Mechanical Sciences Pub Date : 2024-08-23 DOI:10.1016/j.ijmecsci.2024.109671
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Abstract

Use of porous lattice structures and functionally graded (FG) implants in orthopaedic applications has emerged as a promising solution to reduce stress shielding. However, there is a notable research gap in examining the effects of post-operative scenarios within the lattice pores and different porosity distribution laws in functionally graded porous lattice structure (FGPLS) implants on the biomechanical performance of tibial implant for total ankle replacement (TAR). The objective of the study is to investigates the effects of both post-operative tissues and various porosity distribution laws on the biomechanical performance of tibial implant for TAR and proposes a new design strategy. CAD models for lattice structures at various porosities were developed to incorporate the effects of post-operative tissues such as fibrous tissue, cartilage, immature bone, and mature bone. The pore spaces of these lattice structures were assumed to be filled with the post-operative ingrowth tissues. The lattice structure and these tissues together form the Representative volume element (RVE), whose effective properties were calculated using Asymptotic homogenization (AH) technique. Equations linking mechanical properties and porosity were established and used to assign mechanical properties to macro-FE models of FGPLS tibial implants based on three different power laws i.e. n = 0.1,1 and 5. Macro-FE models for intact and implanted tibia bones were developed using homogeneous properties of cortical bone and heterogeneous cancellous bone properties. The proximal part of the tibia was fixed, and a compressive load was applied through the anterior nodes of the meniscal bearing to represent dorsiflexion loading during normal walking. The Finite Element Analysis (FEA) was utilized to investigate the biomechanical performance of these implanted models in terms of stress distribution in the tibia bone and implant-bone micromotion. A comparison was made between models with solid metallic implants and those with FGPLS implants. Additionally, models with varying post-operative tissues in the pore space were compared, as well as models with different porosity variation laws were also compared. Results demonstrated that models implanted with FGPLS implants having porosity variation based on power law n = 0.1 showed increased bone stress and micromotion compared to those with solid metallic implants. Specifically, in models with FGPLS implants with porosity variation based on a power law of n = 0.1, the bone area with stress ranging from 2–5 MPa increased significantly in the periprosthetic region compared to models with solid metallic implants. The bone stress value for the majority of the region above the medial and lateral peg increased from 1–2 MPa to 2–5 MPa. Although there was a slight increase in micromotion values, they remained below the acceptable threshold of 50 µm. Models with porosity variations based on power laws n = 1 and n = 5 exhibited similar bone stress and micromotion results as solid metallic implants. Additionally, no significant difference in bone stresses was observed for different stages of bone ingrowth at pore space. These findings indicate that both the porous structure and porosity distribution within the implant significantly influence the biomechanical performance of tibial implants for TAR. So, it can be concluded that FGPLS implants with power law n = 0.1 are effective in reducing stress shielding and supporting the long-term survival of TAR by increasing bone stress and reducing the chances of aseptic loosening due to implant induced adaptive bone remodelling.

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设计用于 TAR 的功能分级多孔晶格结构胫骨植入物
在骨科应用中使用多孔晶格结构和功能分级(FG)植入物已成为减少应力屏蔽的一种有前途的解决方案。然而,在研究功能分级多孔晶格结构(FGPLS)植入物中晶格孔内的术后情况和不同孔隙率分布规律对全踝关节置换术(TAR)胫骨植入物生物力学性能的影响方面,还存在明显的研究空白。本研究旨在探讨术后组织和各种孔隙率分布规律对全踝关节置换术胫骨植入物生物力学性能的影响,并提出一种新的设计策略。为了将纤维组织、软骨、未成熟骨和成熟骨等术后组织的影响考虑在内,我们开发了不同孔隙率的网格结构 CAD 模型。假定这些晶格结构的孔隙由术后生长组织填充。晶格结构和这些组织共同构成了代表体积元素(RVE),其有效特性是通过渐近均质化(AH)技术计算得出的。根据三种不同的幂律,即 n = 0.1、1 和 5,建立了力学性能和孔隙率之间的联系方程,并用于为 FGPLS 胫骨植入物的宏观-FE 模型分配力学性能。利用皮质骨的同质特性和松质骨的异质特性,建立了完整和植入胫骨的宏观有限元模型。固定胫骨近端,通过半月板轴承的前部节点施加压缩载荷,以表示正常行走时的背屈载荷。有限元分析(FEA)用于研究这些植入模型在胫骨应力分布和植入物-骨微动方面的生物力学性能。对使用固体金属植入物的模型和使用 FGPLS 植入物的模型进行了比较。此外,还比较了孔隙中不同术后组织的模型,以及不同孔隙率变化规律的模型。结果表明,植入 FGPLS 种植体的模型与植入固体金属种植体的模型相比,其孔隙率变化基于幂律 n = 0.1,显示出更大的骨应力和微动。具体来说,与植入固体金属假体的模型相比,植入了基于 n = 0.1 的幂律孔隙率变化的 FGPLS 假体的模型在假体周围区域的骨应力(2-5 兆帕)显著增加。内侧和外侧骨钉上方大部分区域的骨应力值从 1-2 兆帕增加到 2-5 兆帕。虽然微动值略有增加,但仍低于 50 微米的可接受阈值。基于幂律 n = 1 和 n = 5 的孔隙率变化模型显示出与固体金属植入物相似的骨应力和微动结果。此外,在孔隙处骨生长的不同阶段,也没有观察到明显的骨应力差异。这些研究结果表明,多孔结构和种植体内的孔隙分布都会对 TAR 胫骨种植体的生物力学性能产生重大影响。因此,可以得出结论,幂律 n = 0.1 的 FGPLS 植入体能有效减少应力屏蔽,并通过增加骨应力和降低因植入体诱导的适应性骨重塑而导致的无菌性松动的几率来支持 TAR 的长期存活。
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来源期刊
International Journal of Mechanical Sciences
International Journal of Mechanical Sciences 工程技术-工程:机械
CiteScore
12.80
自引率
17.80%
发文量
769
审稿时长
19 days
期刊介绍: The International Journal of Mechanical Sciences (IJMS) serves as a global platform for the publication and dissemination of original research that contributes to a deeper scientific understanding of the fundamental disciplines within mechanical, civil, and material engineering. The primary focus of IJMS is to showcase innovative and ground-breaking work that utilizes analytical and computational modeling techniques, such as Finite Element Method (FEM), Boundary Element Method (BEM), and mesh-free methods, among others. These modeling methods are applied to diverse fields including rigid-body mechanics (e.g., dynamics, vibration, stability), structural mechanics, metal forming, advanced materials (e.g., metals, composites, cellular, smart) behavior and applications, impact mechanics, strain localization, and other nonlinear effects (e.g., large deflections, plasticity, fracture). Additionally, IJMS covers the realms of fluid mechanics (both external and internal flows), tribology, thermodynamics, and materials processing. These subjects collectively form the core of the journal's content. In summary, IJMS provides a prestigious platform for researchers to present their original contributions, shedding light on analytical and computational modeling methods in various areas of mechanical engineering, as well as exploring the behavior and application of advanced materials, fluid mechanics, thermodynamics, and materials processing.
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