双曲抛物面形态和传统近似牙槽嵴形态3D打印钛网的力学性能研究

Research on mechanical properties of 3D printed titanium mesh with hyperbolic paraboloid morphology and traditional approximate alveolar ridge morphology

目的探究双曲抛物面空间结构对个性化钛网的力学性能影响。方法使用3-Matic 15软件为牙槽嵴吸收患者的下颌骨三维模型进行虚拟骨增量,分别增量为双曲抛物面结构和近似牙槽嵴结构,并制作孔隙为圆形、三角形、四边形和六边形,厚度为0.2 mm、0.3 mm、0.4 mm的个性化钛网,构建有限元分析模型,施加力和约束,分析各组钛网的应力和位移。结果同一厚度下,不同孔隙结构的双曲抛物面钛网应力和位移均明显低于近似牙槽嵴形态的钛网;随厚度减小,各组钛网的应力和位移显著增加。结论双曲抛物面这一空间结构可以均匀的分散应力,减少个性化钛网的应力集中,减少钛网受力后的位移,使钛网兼具了良好的力学性能和较薄的厚度,降低了对软组织的刺激,减少钛网暴露的可能。

Objective To investigate the influence of hyperbolic paraboloid spatial structure on the mechanical properties of personalized titanium mesh.Methods Virtual bone augmentations were performed using 3-Matic 15 software on 3D models of the mandibles of patients with alveolar ridge resorption.The bone augmentations were performed with hyperbolic paraboloid structure and approximate alveolar ridge structure,respectively.Personalized titanium meshes with pore shapes of circular,triangular,quadrilateral,and hexagonal,and thicknesses of 0.2 mm,0.3 mm,and 0.4 mm were fabricated.Finite element analysis models were constructed,applying the forces and constraints.The stress and displacement of titanium mesh in each group were analyzed.Results Under the same thickness,the stresses and displacements of the hyperbolic paraboloid titanium mesh with different pore structures were significantly lower than those of the approximate alveolar ridge titanium mesh;as the thickness decreased,the stress and displacement of titanium mesh in each group significantly increased.Conclusion This spatial structure of hyperbolic paraboloid can distribute the stress uniformly,reduce the stress concentration of the personalized titanium mesh,decrease displacement of the titanium mesh after loading,allowing the titanium mesh to combine good mechanical properties and thinner thickness,reducing irritation to soft tissues and the risk of titanium mesh exposure.