Department of Mechanical Engineering, McGill University, Montreal, Quebec, Canada H3A0C3.
Department of Biomedical Engineering, University of Michigan, Ann Arbor, MI 48109, USA.
J Mech Behav Biomed Mater. 2018 Feb;78:465-479. doi: 10.1016/j.jmbbm.2017.11.041. Epub 2017 Dec 5.
This investigation presents the numerical development of a fully porous tibial knee implant that is suggested to alleviate the clinical problems associated with current prostheses that are fully solid. A scheme combining multiscale mechanics and topology optimization is proposed to handle the homogenized analysis and property tailoring of the porous architecture with the aim of reducing the stiffness mismatch between the implant and surrounding bone. The outcome of applying this scheme is a graded lattice microarchitecture that can potentially offer the implant an improved degree of load bearing capacity while reducing concurrently bone resorption and interface micromotion. Asymptotic Homogenization theory is used to characterize the mechanics of its building block, a tetrahedron based unit cell, and the Soderberg fatigue criterion to represent the implant fatigue resistance under multiaxial physiological loadings. The numerical results suggest that the overall amount of bone resorption around the graded porous tibial stem is 26% lower than that around a conventional, commercially available, fully dense titanium implant of identical shape and size. In addition, an improved interface micromotion is observed along the tibial stem, with values at the tip of the stem as low as 17µm during gait cycle and 22µm for deep bend compared to a fully dense implant. This decrease in micromotion compared to that of an identical solid implant made of titanium can reasonably be expected to alleviate post-operative end of stem pain suffered by some patients undergoing surgery at the present time.
本研究提出了一种完全多孔的胫骨膝关节植入物的数值开发,旨在缓解当前完全实心假体相关的临床问题。提出了一种结合多尺度力学和拓扑优化的方案,以处理多孔结构的均匀化分析和特性定制,目的是减少植入物和周围骨骼之间的刚度不匹配。应用该方案的结果是一种分级晶格微观结构,它可以潜在地提供植入物更高的承载能力,同时减少骨吸收和界面微动。渐近均匀化理论用于描述其构建块(基于四面体的单元)的力学特性,Soderberg 疲劳准则用于表示在多轴生理载荷下植入物的疲劳抗力。数值结果表明,分级多孔胫骨柄周围的总体骨吸收量比形状和尺寸相同的传统商业上可用的全致密钛植入物低 26%。此外,在胫骨柄处观察到改善的界面微动,在步态周期中柄尖端的微动值低至 17µm,而在深弯时为 22µm,与全致密植入物相比。与由钛制成的相同实心植入物相比,这种微动的减少可以合理地减轻当前接受手术的一些患者术后末端疼痛。