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Using a Scale-bridging Technique to Determine the Effect of Elastic Properties on Stress Distribution Around the Femoral Stem of an Artificial Hip Joint with a Simplified Geometry

机译:使用尺度桥接技术来确定弹性特性对简化几何形状的人工髋关节股骨柄周围应力分布的影响

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scale-bridging technique was used to investigate the effect of the elastic properties of β-Ti alloys on the stress distribution around the femoral stem of an artificial hip joint with a simplified geometry when under an external loading. The anisotropic elastic constants of single-crystalline β-Ti alloys (TN1 Ti-18.75 at% Nb, TN2: Ti-37.5 at% Nb, and TN3: Ti-43.75 at% Nb) were calculated using an ab-initio technique that was based on density functional theory calculation. The single-crystalline elastic constants calculated via the ab-initio technique were used to calculate the elastic constants of polycrystal β-Ti alloys using an elastic self-consistent scheme. Finite element analysis based on the elastic constants of polycrystalline β-Ti alloys for a femoral stem was conducted to calculate the above-mentioned stress distribution. The model system consisting of a TN1alloy exhibited a relatively high level of von Mises stress on the surface of cancellous and cortical bones compared to model systems consisting of TN2, TN3 alloys and commercial biomateri-als (Ti-6A1-4V alloy and 316STS). The thickness of the cancellous bone between the femoral stem and the cortical bone affected the stress concentration on the surface of the cortical bone.
机译:比例桥接技术用于研究β-Ti合金的弹性特性对在外部载荷下具有简化几何形状的人工髋关节股骨柄周围应力分布的影响。单晶β-Ti合金(TN1 Ti-18.75 at%Nb,TN2:Ti-37.5 at%Nb和TN3:Ti-43.75 at%Nb)的各向异性弹性常数是使用ab-initio技术计算的。基于密度泛函理论的计算。使用从头算技术计算出的单晶弹性常数,采用弹性自洽方案计算多晶β-Ti合金的弹性常数。基于用于股骨柄的多晶β-Ti合金的弹性常数进行有限元分析,以计算上述应力分布。与由TN2,TN3合金和市售生物材料(Ti-6A1-4V合金和316STS)组成的模型系统相比,由TN1合金组成的模型系统在松质和皮质骨表面上表现出较高水平的von Mises应力。股骨柄和皮质骨之间的松质骨的厚度影响了皮质骨表面上的应力集中。

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