下颌第一前磨牙三维有限元模型的构建与应力分析  

Construction and Stress Analysis of the Three-Dimensional Finite Element Model of the Mandibular First Premolar

作　　者：付苗苗 裴丽娜 张昕雨 赵苑苑 尚卫华 王桃[1] FU Miaomiao;PEI Lina;ZHANG Xinyu;ZHAO Yuanyuan;SHANG Weihua;WANG Tao(Department of Prosthodontics,the First Affiliated Hospital of Zhengzhou University,Zhengzhou 450052,China;Department of Stomatology,Zhengzhou People’s Hospital,Zhengzhou 450052,China)

机构地区：[1]郑州大学第一附属医院口腔修复科,河南郑州450052 [2]郑州人民医院口腔科,河南郑州450052

出　　处：《河南医学研究》2021年第17期3081-3085,共5页Henan Medical Research

基　　金：河南省医学科技攻关计划项目(201702059)。

摘　　要：目的建立下颌第一前磨牙的三维有限元模型,分析不同加载方式对牙釉质和牙本质应力分布的影响。方法利用锥形束CT(CBCT)扫描志愿者下颌骨,Mimics软件初步处理图像,Geomagic软件精修及曲面优化,SolidWorks软件装配各模块并构成三维实体模型,Ansys软件赋予材料属性,网格划分后设置边界条件,分析牙釉质和牙本质在不同加载下的等效应力分布。结果成功构建下颌第一前磨牙的三维有限元模型,节点总数为253739个,单元总数为161053个。垂直加载下,牙釉质等效应力峰值(118.83 MPa)位于远中边缘嵴(加载区),牙本质等效应力峰值(28.83 MPa)位于远中牙颈部。斜向加载下,牙釉质等效应力峰值(140.64 MPa)位于颊尖颊斜面(加载区),牙本质的等效应力峰值(47.52 MPa)在舌侧牙根颈1/3。结论采用CBCT扫描法结合多种软件,可建立包括牙釉质、牙本质、牙髓、牙周膜、松质骨、皮质骨的下颌第一前磨牙三维有限元模型,仿真度良好,可用于后续力学研究。与斜向加载相比,垂直加载下的牙釉质和牙本质应力分布相对均匀,等效应力峰值更小。Objective To establish the three-dimensional(3 D) finite element model of the mandibular first premolar and analyse the effects of different loading conditions on stress distribution of enamel and dentin, so as to lay a foundation for subsequent mechanical research.Methods The mandible of volunteers was scanned by cone beam computer tomography(CBCT). Mimics software was utilized to deal with the tomography data preliminarily. Geomagic software was for precise modification and surface optimization, and SolidWorks software was used to assemble all of the modules and form the 3 D solid model. Ansys software was utilized to give material properties and set boundary condition after dividing meshes. The von-Mises stress distribution of enamel and dentin under different loading conditions was analyzed.Results The 3 D finite element model of the mandibular first premolar was successfully constructed, with a total of 253 739 nodes and 161 053 elements. Under vertical loading, the peak von-Mises stress was located in the distal marginal ridge of tooth enamel(loading area, 118.83 MPa) and the distal cervical dentin region(28.83 MPa). The oblique load resulted in the peak von-Mises stress at buccal inclined plane of buccal tip(the loading area, 140.64 MPa) and 1/3 of the lingual cervical root(47.52 MPa).Conclusions Using CBCT combined with a variety of softwares, the 3 D finite element model of the mandibular first premolar including enamel, dentin, dental pulp, periodontal ligament, cortical bone and cancellous bone could be efficiently and precisely established. The model has great simulation similarity and could be used for subsequent mechanical research. Compared with oblique loading, the stress distribution of enamel and dentin under vertical load is relatively uniform and the peak von-Mises stress of enamel and dentin is smaller.

关 键 词：下颌第一前磨牙 三维有限元 静态加载 锥形束CT 

分 类 号：R78[医药卫生—口腔医学]