无限元法在柱状根骨内种植义齿应力分析中的应用  

The application of infinite element method to endodontic endosseous implant stress analysis

作　　者：辛海涛[1] 马轩祥[1] 应隆安[2] 张少锋[1] 钱宗才[3] 

机构地区：[1]第四军医大学口腔医学院修复学教研室,西安710032 [2]北京大学数学科学学院 [3]第四军医大学医学电子工程系计算机教研室

出　　处：《中华口腔医学杂志》2002年第3期183-186,共4页Chinese Journal of Stomatology

基　　金：国家自然科学基金资助项目 (3 95 70 769)

摘　　要：目的　研究柱状根骨内种植体根尖部应力集中区域不同组织界面的应力分布情况 ,以优化种植义齿设计。方法　在二维柱状根骨内种植义齿有限元法分析的基础上 ,将左、右根尖孔区域选定为无限元区域进行计算 ,对于有限元与无限元区域的数据连接 ,采用了最新区域分解法的D N迭代法实现。结果　 4 5°侧向静力加载下 ,修复体转动中心位于根尖孔下方种植体内 ;两侧根尖孔无限元区域均出现应力集中 ,近加载力方向侧呈现拉应力 ,而远离加载力方向侧呈现压应力 ;应力集中点为种植体与牙根的交汇点 ,从应力集中点开始应力呈放散状逐渐减小 ,但牙周膜区域相反。结论修复后转动中心位置的变化有助于牙齿的稳定和所承受咬合力的传导 ;种植体出根尖孔区域受力最大 ,不能将种植体出根尖孔处直径减小来达到保护牙根的目的 ;Objective To study the precise stress distribution of the apical foramen area of endodontic endosseous implant, in order to improve the prosthetics of endodontic endosseous implant. Methods After analysis of the two dimensional endodontic endosseous implants model with finite element method, left and right areas beside the apical foramen were selected as infinite domains to calculate. D N interactive method was used to connect the finite and infinite domains. Results Under 45° axial right oblique loading, the stress concentration occurred in both infinite domains of the apical foramen. The infinite domain nearing the load side was tension stress concentration, but the other side was compressive stress concentration.Two stress concentration points were just at the central points, which were intersections between implant and dentin. The stress reduced in all directions from these two stress concentration points, but in the ligament, the result was contrary. Conclusions The change of the tooth rotational center is helpful to the tooth stability and carrying capacity after restoration. In the implant area, the diameter of implant at the apical foramen of root shall not be reduced to protect root in clinical work. It is very important to preserve the tissue of periodontal ligament for endodontic endosseous implants.

关 键 词：无限元法 应力分析 根骨内种植 义齿学 

分 类 号：R783.6[医药卫生—口腔医学]