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Region dependent fracture resistance behavior of human dentin based on numerical simulation
引用本文:徐远志,安兵兵,张东升,汪饶饶.Region dependent fracture resistance behavior of human dentin based on numerical simulation[J].应用数学和力学(英文版),2014,35(3):277-284.
作者姓名:徐远志  安兵兵  张东升  汪饶饶
基金项目:Project supported by the National Natural Science Foundation of China(No.11172161);the Science and Technology Commission of Shanghai Municipality(No.12ZR1423500);the Innovation Program of Shanghai Municipal Education Commission(No.12ZZ092);the Shanghai Leading Academic Discipline Project(No.S30106)
摘    要:


Region dependent fracture resistance behavior of human dentin based on numerical simulation
Yuan-zhi Xu,Bing-bing An,Dong-sheng Zhang,Rao-rao Wang.Region dependent fracture resistance behavior of human dentin based on numerical simulation[J].Applied Mathematics and Mechanics(English Edition),2014,35(3):277-284.
Authors:Yuan-zhi Xu  Bing-bing An  Dong-sheng Zhang  Rao-rao Wang
Institution: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
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.
Keywords:virtual multidimensional internal bond(VMIB)  Monte Carlo simulation  resistance curve(R-curve)  crack growth  dentin
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