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Using a radial point interpolation meshless method and the finite element method for application of a bio-inspired remodelling algorithm in the design of optimized bone scaffold
Journal of the Brazilian Society of Mechanical Sciences and Engineering ( IF 2.2 ) Pub Date : 2021-11-24 , DOI: 10.1007/s40430-021-03280-2
A. I. Pais 1 , J. L. Alves 2 , J. Belinha 3
Affiliation  

The design of bone scaffold involves the analysis of stress shielding, which can occur when the Young’s modulus of the implant is higher than the Young’s modulus of the bone it is replacing, leading to bone decay in the surrounding tissue. It is therefore very important that the material is adequately designed to match the properties of the surrounding tissue, allowing an appropriate load transfer. While some approaches exist in the literature exploring functional gradients of material density, there are much less solutions based on biological laws. A homogenized model of gyroid infill obtained with PLA (\(E = 3145\) MPa) was obtained through mechanical tests of 3D printed specimens, namely tensile and compression, and the obtained model was implemented in a bone remodelling algorithm. The homogenized law was compared to the results obtained with a bone tissue law to assess the equivalence of density distribution and mechanical properties. Through a radial point interpolation method, it was found that similar density fields were obtained for the gyroid infill and for bone tissue when subject to the same boundary conditions. The finite element method was also used for comparison and validation. With the density field results, the gyroid mechanical behaviour was extrapolated to other materials, and similar stiffness values were obtained for bone tissue and titanium alloy (\(E = 110\) GPa) scaffold, which justify this proposal of gyroid scaffolds for mimicking bone properties.



中文翻译:

使用径向点插值无网格法和有限元法仿生重构算法在优化骨支架设计中的应用

骨支架的设计涉及应力屏蔽分析,当植入物的杨氏模量高于其替代骨的杨氏模量时,就会发生应力屏蔽,从而导致周围组织中的骨腐烂。因此,材料的设计要与周围组织的特性相匹配,从而实现适当的负荷转移,这一点非常重要。虽然在探索材料密度功能梯度的文献中存在一些方法,但基于生物学定律的解决方案要少得多。用 PLA 获得的陀螺填充的均质模型 ( \(E = 3145\)MPa) 是通过 3D 打印标本的力学测试获得的,即拉伸和压缩,并且获得的模型在骨重建算法中实现。将均质定律与骨组织定律获得的结果进行比较,以评估密度分布和机械性能的等效性。通过径向点插值方法,发现当受到相同边界条件时,回旋填充物和骨组织获得相似的密度场。有限元方法也用于比较和验证。根据密度场结果,将陀螺仪力学行为外推到其他材料,骨组织和钛合金获得了相似的刚度值 ( \(E = 110\) GPa) 支架,这证明了这种模拟骨骼特性的 gyroid 支架的提议是合理的。

更新日期:2021-11-25
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