On fracture behavior of inner enamel: a numerical study

doi:10.1007/s10483-023-3007-6

Applied Mathematics and Mechanics (English Edition) ›› 2023, Vol. 44 ›› Issue (6): 931-940.doi: https://doi.org/10.1007/s10483-023-3007-6

On fracture behavior of inner enamel: a numerical study

Siyong LIU¹, Yuanzhi XU², Richeng LIAO³, Ge HE¹, Li DING¹, Bingbing AN^1,4, Dongsheng ZHANG^1,4

1. Shanghai Key Laboratory of Mechanics in Energy Engineering, School of Mechanics and Engineering Science, Shanghai University, Shanghai 200444, China;
2. Department of Stomatology, Shanghai Tenth People's Hospital, Tongji University School of Medicine, Shanghai 200072, China;
3. State-owned Changhong Machinery Factory, Guilin 541002, Guangxi Zhuang Autonomous Region, China;
4. Shaoxing Institute of Technology, Shaoxing 312074, Zhejiang Province, China

收稿日期:2023-01-19 修回日期:2023-03-17 出版日期:2023-06-01 发布日期:2023-05-29
通讯作者: Dongsheng ZHANG, E-mail: donzhang@staff.shu.edu.cn
基金资助:
the National Natural Science Foundation of China (Nos. 12072184, 12002197, and 12202257)

On fracture behavior of inner enamel: a numerical study

Siyong LIU¹, Yuanzhi XU², Richeng LIAO³, Ge HE¹, Li DING¹, Bingbing AN^1,4, Dongsheng ZHANG^1,4

1. Shanghai Key Laboratory of Mechanics in Energy Engineering, School of Mechanics and Engineering Science, Shanghai University, Shanghai 200444, China;
2. Department of Stomatology, Shanghai Tenth People's Hospital, Tongji University School of Medicine, Shanghai 200072, China;
3. State-owned Changhong Machinery Factory, Guilin 541002, Guangxi Zhuang Autonomous Region, China;
4. Shaoxing Institute of Technology, Shaoxing 312074, Zhejiang Province, China

Received:2023-01-19 Revised:2023-03-17 Online:2023-06-01 Published:2023-05-29
Contact: Dongsheng ZHANG, E-mail: donzhang@staff.shu.edu.cn
Supported by:
the National Natural Science Foundation of China (Nos. 12072184, 12002197, and 12202257)

摘要/Abstract

摘要： The ingenious hierarchical structure of enamel composed of rods and protein produces excellent fracture resistance. However, the fracture resistance mechanism in the inner enamel is unknown. The micromechanical models of enamel are constructed to numerically analyze the mechanical behaviors of the inner enamel with different decussation angles and different decussation planes. The results show that the manner of crack propagation in the inner enamel, including crack bridging, crack deflection, and crack bifurcation, is determined by both the rod decussation angle and the decussation plane. In the case of the strong decussation plane, the fracture strength and the required energy dissipation with the decussation angles of 15° and 30° are much higher than those without decussation, demonstrating that decussation is an important mechanism in improving the fracture resistance of enamel. The maximum tensile stress of enamel with the decussation angle of 15° is slightly higher than that of enamel with the decussation angle of 30°, illustrating that an optimal decussation angle exists which balances the strength and toughness. The synergetic mechanism of the decussation angle and the decussation plane on the crack propagation provides a new design hint for bionic composites.

关键词: finite element calculation, rod decussation, decussation plane, crack

Abstract: The ingenious hierarchical structure of enamel composed of rods and protein produces excellent fracture resistance. However, the fracture resistance mechanism in the inner enamel is unknown. The micromechanical models of enamel are constructed to numerically analyze the mechanical behaviors of the inner enamel with different decussation angles and different decussation planes. The results show that the manner of crack propagation in the inner enamel, including crack bridging, crack deflection, and crack bifurcation, is determined by both the rod decussation angle and the decussation plane. In the case of the strong decussation plane, the fracture strength and the required energy dissipation with the decussation angles of 15° and 30° are much higher than those without decussation, demonstrating that decussation is an important mechanism in improving the fracture resistance of enamel. The maximum tensile stress of enamel with the decussation angle of 15° is slightly higher than that of enamel with the decussation angle of 30°, illustrating that an optimal decussation angle exists which balances the strength and toughness. The synergetic mechanism of the decussation angle and the decussation plane on the crack propagation provides a new design hint for bionic composites.

Key words: finite element calculation, rod decussation, decussation plane, crack

中图分类号:

74E05

Siyong LIU, Yuanzhi XU, Richeng LIAO, Ge HE, Li DING, Bingbing AN, Dongsheng ZHANG. On fracture behavior of inner enamel: a numerical study[J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(6): 931-940.

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On fracture behavior of inner enamel: a numerical study

On fracture behavior of inner enamel: a numerical study

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