Investigation of Fracture-resistance of Human Teeth at the Dentin-enamel Junction Using the J-integral Calculation of Finite Element Analysis

Xinyao Zhu, Shaowei Wang, Jing Ye, H. Guo, Rong Wang
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Abstract

Most human teeth have an exposed surface layer of calcified enamel, which is harder than the inner layer of dentin. The interface between the enamel and dentin is called the dentin-enamel junction (DEJ), which ensures that teeth do not collapse and fall off. The purpose of this study was to use finite element analysis software through the $J$-integral method and the extended finite element method (XFEM) to evaluate three models of DEJ structures: i) wavy DEJ with no thickness, ii) rectangle DEJ with a thickness of 0.3 mm, and iii) wavy DEJ with a thickness of 0.3 mm. This paper demonstrates that the layered structure of human teeth plays a positive role in enhancing the fracture strength and preventing the crack from spreading to the depths of teeth. At the same time, we also justify of the scalloped structure and concave orientation of the DEJ interface. The residual stresses in DEJ and its adjacent dentin region are also an important factor of tooth resistance to crack propagation. In addition, the configuration of the DEJ interface and residual stresses in DEJ & dentin areas are further justified by means of XFEM method. The findings in this study provide potential inspiration for the biomimetic design towards strengthening the dentin and dentin-like materials.
基于有限元分析的j积分法研究人牙本质-牙釉质交界处的抗断裂能力
大多数人的牙齿表面都有一层钙化的牙釉质,它比牙本质的内层更硬。牙釉质和牙本质之间的界面被称为牙本质-牙釉质交界处(DEJ),它确保牙齿不会塌陷和脱落。本研究的目的是利用有限元分析软件,通过$J$积分法和扩展有限元法(XFEM)对三种DEJ结构模型进行评价:i)无厚度的波浪状DEJ, ii)厚度为0.3 mm的矩形DEJ, iii)厚度为0.3 mm的波浪状DEJ。研究表明,人类牙齿的分层结构对提高断裂强度和防止裂纹向牙齿深处扩展具有积极作用。同时,我们还对DEJ界面的扇形结构和凹取向进行了论证。DEJ及其邻近牙本质区域的残余应力也是牙齿抗裂纹扩展的重要因素。此外,利用XFEM方法进一步验证了DEJ界面的结构和DEJ与牙本质区域的残余应力。本研究结果为牙本质及类牙本质材料的仿生强化设计提供了潜在的灵感。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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