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Applied Mathematics and Mechanics (English Edition) ›› 2014, Vol. 35 ›› Issue (3): 277-284.doi: https://doi.org/10.1007/s10483-014-1790-8

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Region dependent fracture resistance behavior of human dentin based on numerical simulation

徐远志1 安兵兵2 张东升3,4 汪饶饶1   

  1. 1. The Tenth People’s Hospital of Tongji University, Shanghai 200072, P. R. China;
    2. Department of Physics, Shanghai University, Shanghai 200444, P. R. China;
    3. Department of Mechanics, Shanghai University, Shanghai 200444, P. R. China;
    4. Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai University, Shanghai 200072, P. R. China
  • 收稿日期:2013-04-01 修回日期:2013-09-27 出版日期:2014-03-26 发布日期:2014-02-18

Region dependent fracture resistance behavior of human dentin based on numerical simulation

 XU Yuan-Zhi1, AN Bing-Bing2, ZHANG Dong-Sheng3,4, WANG Rao-Rao1   

  1. 1. The Tenth People’s Hospital of Tongji University, Shanghai 200072, P. R. China;
    2. Department of Physics, Shanghai University, Shanghai 200444, P. R. China;
    3. Department of Mechanics, Shanghai University, Shanghai 200444, P. R. China;
    4. Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai University, Shanghai 200072, P. R. China
  • Received:2013-04-01 Revised:2013-09-27 Online:2014-03-26 Published:2014-02-18

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摘要： Dentin has a hierarchical structure and is composed of numerous tubules whose diameters and densities vary with the distances to the dentin-enamel junction. The unique structure determines the mechanical performance of dentin. In this study, a multiscale model, which is based on the combination of the virtual multidimensional internal bond (VMIB) theory and the Monte Carlo method, is used to simulate the fracture behavior of human dentin. Numerical simulations reveal that human dentin exhibits a graded resistance curve (R-curve). Among the three regions of dentin, superficial dentin shows the strongest resistance to crack propagation, and deep dentin has the weakest resistance. In addition, the predictions of fracture toughness of middle dentin agree well with the experimentally reported values, suggesting that the proposed model can be used to characterize the fracture behavior of human dentin comprehensively and properly.

关键词: virtual multidimensional internal bond (VMIB), Monte Carlo simulation, resistance curve (R-curve), crack growth, dentin, 膜盘, 弯曲, 应力, 变形

Abstract: Dentin has a hierarchical structure and is composed of numerous tubules whose diameters and densities vary with the distances to the dentin-enamel junction. The unique structure determines the mechanical performance of dentin. In this study, a multiscale model, which is based on the combination of the virtual multidimensional internal bond (VMIB) theory and the Monte Carlo method, is used to simulate the fracture behavior of human dentin. Numerical simulations reveal that human dentin exhibits a graded resistance curve (R-curve). Among the three regions of dentin, superficial dentin shows the strongest resistance to crack propagation, and deep dentin has the weakest resistance. In addition, the predictions of fracture toughness of middle dentin agree well with the experimentally reported values, suggesting that the proposed model can be used to characterize the fracture behavior of human dentin comprehensively and properly.

Key words: dentin, virtual multidimensional internal bond (VMIB), Monte Carlo simulation, resistance curve (R-curve), crack growth, diaphragm coupling, bending, stress, deformation

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