华西口腔医学杂志

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下颌第一磨牙隐裂模型裂纹变化的三维有限元分析

侯铁舟1 朱丰燕1 陶洪2 王帅帅1   

  1. 1.西安交通大学医学院附属口腔医院口腔内科, 陕西西安710004;2.西安交通大学医学院第一附属医院口腔科, 陕西西安710061
  • 收稿日期:2009-04-25 修回日期:2009-04-25 出版日期:2009-04-20 发布日期:2009-04-20
  • 通讯作者: 侯铁舟,Tel:029-88088507
  • 作者简介: 侯铁舟(1964-),男,陕西人,副主任医师,硕士
  • 基金资助:

    国家自然科学基金资助项目(30872871);西安市社会发展基金资助项目(YF07180)

Three-dimensional finite element analysis of the change of cracks in the cracked first mandibular molar under different loading conditions

HOU Tie-zhou1, ZHU Feng-yan1, TAO Hong2, WANG Shuai-shuai1   

  1. 1. Dept. of Oral Medicine, Stomatological Hospital of Xi′an Jiaotong University, Xi′an 710004, China; 2. Dept. of Stomatology, The First Hospital of Xi′an Jiaotong University, Xi′an 710061, China
  • Received:2009-04-25 Revised:2009-04-25 Online:2009-04-20 Published:2009-04-20
  • Contact: HOU Tie-zhou,Tel:029-88088507

摘要:

目的研究隐裂下颌第一磨牙受力后裂纹的变化情况,以及裂纹存在对牙齿受力后整体位移的影响。方法建立包含不同深度和长度裂纹的隐裂下颌第一磨牙的三维有限元模型以及无裂纹对照模型,模拟咬合过程,确定6种加载方式,通过有限元计算,求得不同裂纹的变化情况以及裂纹存在对牙齿整体位移的影响。结果随着裂纹深度和长度的增加,面裂纹的宽度亦变大,载荷4的影响最大。开裂时裂纹边缘不齐,相邻节点不在同一平面上。邻面裂纹在载荷6工况下开裂最大。裂纹存在时牙齿整体位移增加,但对牙齿整体位移的影响是有限的。结论裂纹的变化与初始裂纹形式和载荷工况密切相关。

关键词: 隐裂牙, 载荷, 裂纹, 有限元法

Abstract:

Objective To study the change of the cracks and the influence on overall displacement of the cracked first mandibular molar under different loadings. Methods Three-dimensional finite element models of first mandibular molar with cracks of different depth and length and a control model with no crack were created firstly. Then six loading conditions were applied to the models simulating the real mastication. The changes of the cracks and displacement of the teeth under the six loadings conditions were obtained by finite element method. Results The length and depth of the cracks increased, the cracks of the occlusal surface become wider, and the crack was the widest under the fourth loading condition. Moreover, the edge of the cracks was irregular. The adjacent nodes were not in the same plane. The crack of the distal surface was the widest under the sixth loading condition. Compared to the teeth without cracks, the overall displacement of the teeth with cracks increased, but the increment was limited. Conclusion The change of the cracks is closely related to the initial crack forms and loading conditions.

Key words: cracked tooth, loading, crack, finite element method