华西口腔医学杂志

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有限元法初步探讨釉牙本质界对裂纹的阻断机制

郑晶晶1 侯铁舟1 陶洪2 郭雪艳1 吴翠1   

  1. 1.西安交通大学附属口腔医院牙体牙髓病科,西安 710004;2.西安交通大学第一附属医院口腔科,西安 710061
  • 出版日期:2014-10-01 发布日期:2014-10-01
  • 通讯作者: 侯铁舟,教授,硕士,E-mail:tiezhou@mail.xjtu.edu.cn
  • 作者简介:郑晶晶,博士,E-mail:zhengjingjing1984@163.com
  • 基金资助:

    国家自然科学基金资助项目(30872871)

Mechanism of the dentino-enamel junction on the resist-crack propagation of human teeth by the finite element method

Zheng Jingjing1, Hou Tiezhou1, Tao Hong2, Guo Xueyan1, Wu Cui1.   

  1. 1. Dept. of Endodontics, Hospital of Stomatology, Xi’an Jiaotong University, Xi’an 710004, China; 2. Dept. of Stomatology, The First Affiliated Hospital of Xi’an Jiaotong University, Xi’an 710061, China
  • Online:2014-10-01 Published:2014-10-01

摘要:

目的 通过有限元方法计算裂纹扩展过程中裂纹尖端应力强度因子的变化和裂纹扩展的路径。方法 用ANSYS软件建立釉牙本质界结构的有限元模型,在模型的单边缘设置长度为0.1 mm的初始裂纹,该数值试样的底端固定,顶端受有б=1 MPa的均匀拉伸载荷,加载频率为5 Hz。利用ANSYS软件计算裂纹在扩展过程中裂纹尖端的应力强度因子和裂纹在扩展过程中的偏斜角度。结果 裂纹到达釉牙本质界时应力强度因子会突然降低并且在釉牙本质界内随裂纹的延伸而降低。裂纹在釉质和牙本质内的偏斜角度小于15°,当裂纹扩展到釉牙本质界时会出现大的偏斜角度,裂纹尖端出现应力降低的现象。结论 由于裂纹尖端应力强度因子在釉牙本质界处的降低以及裂纹偏斜,釉牙本质界可能具有阻断裂纹扩展的作用。

关键词: 釉牙本质界, 有限元, 应力强度因子, 裂纹扩展

Abstract:

Objective This study aims to identify the crack tip stress intensity factor of the propagation process, crack propagation path, and the changes in the shape of the crack tip by the finite element method. Methods The finite element model of dentino-enamel junction was established with ANSYS software, and the length of the initial crack in the single edge was set to 0.1 mm. The lower end of the sample was fixed. The tensile load of 1 MPa with frequency of 5 Hz was applied to the upper end. The stress intensity factor, deflection angle, and changes in the shape of the crack tip in the crack propagation were calculated by ANSYS. Results The stress intensity factor suddenly and continuously decreased in dentino-enamel junction as the crack extended. A large skewed angle appeared, and the stress on crack tip was reduced. Conclusion The dentino-enamel junction on human teeth may resist crack propagation through stress reduction.

Key words: dentino-enamel junction, finite element, stress intensity factor, crack propagation