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Efficient System Reliability-Based Design Optimization Study for Replaced Hip Prosthesis Using New Optimized Anisotropic Bone Formulations

机译:基于高效的系统可靠性的设计优化研究,用于使用新优化各向异性骨配方进行替代髋关节假体的设计优化研究

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摘要

An efficient reliability algorithm is developed to transfer the system reliability problem to a single-component reliability problem, considering the uncertainty of loading cases and the material properties. The main difficulty is that femoral bone densities change after hip arthroplasty and, thus, the mechanical properties of the distinctive bone tissues and, therefore, the corresponding elasticity modulus and yield stress values change. Therefore, taking these changes into account during the hip prosthesis design process is strongly needed. As the bone possesses anisotropic behaviors, as the material properties in both radial and tangential directions in long bone (femur, tibia) are almost similar, the bone anisotropy is represented in this study by transversal isotropy. Two optimized formulations for yield stress against the elasticity modulus relationship are first developed and then integrated into an efficient reliability algorithm. Thus, a coupling between reliability and optimization, so-called reliability-based design optimization (RBDO), is introduced in order to control the reliability level. The proposed RBDO algorithm using optimum safety factors (OSF) takes into account the material uncertainties and leads to new stem dimensions. An in-depth numerical analysis on a cementless hip prosthesis is implemented to demonstrate the appropriateness of the proposed algorithm with the consideration of many different loading cases. The results show that the studied model can be effectively used when compared to previous works, which concerns the changes in both geometry and material properties.
机译:考虑到装载案例的不确定性和材料特性,开发了一种高效的可靠性算法来将系统可靠性问题传输到单组分可靠性问题。主要困难是髋关节置换术后股骨密度变化,因此,具有独特骨组织的机械性能,因此,相应的弹性模量和产量应力值变化。因此,强烈需要在髋关节假体设计过程中考虑这些变更。由于骨骼具有各向异性行为,随着长骨(股骨,胫骨)的径向和切向方向上的材料特性几乎相似,骨各向异性在本研究中由横向各向同性作用。首先开发出用于弹性模量关系的两个优化配方,然后集成到高效的可靠性算法中。因此,引入了可靠性和优化之间的耦合,即所谓的基于可靠性的设计优化(RBDO),以控制可靠性水平。所提出的RBDO算法使用最佳安全性因子(OSF)考虑了材料的不确定性,并导致新的茎尺寸。实施了对软泥髋关节假体的深入数值分析,以展示所提出的算法与考虑许多不同的装载案例的适当性。结果表明,与以前的作品相比,可以有效地使用所研究的模型,涉及几何形状和材料属性的变化。

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