非自相似分层次结构对骨组织断裂力学性能分析
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作者单位:

1.太原科技大学;2.上海大学力学与工程科学学院上海市应用数学和力学研究所;3.太原科技大学应用科学学院

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R318.01

基金项目:

国家重点研发计划项目(2018YFF01014200),国家自然科学(11802194、11772184),山西省青年科技研究基金(201801D221018)


Effect of non-self-similar hierarchy on the fracture mechanical properties of bone
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1.Department of Engineering Mechanics,Taiyuan University of Science& Technology;2.Shanghai Institute of Applied Mathematics and Mechanics,School of Mechanics and Engineering Science,Shanghai University

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    摘要:

    目的研究非自相似分层次结构对生物复合材料的断裂力学性质及裂纹在其中扩展的影响,为材料设计提供理论指导。方法 利用Abaqus软件进行建模,采用扩展有限元法分别模拟矿物晶体长轴方向与矿化胶原纤维长轴方向夹角θ分别在θ=0o、20o、40o、60o、80o时矿化胶原纤维束的刚度以及裂纹在其中产生和扩展。结果当 时,θ对材料的刚度影响很小;当θ>40o时,材料的刚度随着θ的增大而减小,其极限拉伸应变随着θ的增大而增大。当θ>0o时,裂纹在增强项两侧蛋白质扩展过程中有不对称现象,矿物晶体长轴偏转的一侧裂纹相对更容易扩展。结论生物硬组织材料中的非自相似分层次结构使得材料中的裂纹分布变得不均匀,因此硬组织材料中的非一致排列现象可使得材料在外载荷作用下发生局部破坏而非灾难性脆断。研究结果可为材料设计提供理论支持。

    Abstract:

    Objectives The effect of non-self-similar hierarchy on the fracture mechanical properties of the biocomposite was identified, It is expected that the findings of this study could direct the path for designing bioinspired materials with superior mechanical properties. Method sthe numerical models were established with Abaqus, and the extended finite element method was used to simulate crack initiation and propagation in the biocomposite. The inclination angles θ with the axis of the platelet and prism of 0, 20o, 40o, 60o, 80o, 90oare considered in this study. Results The inclination angle θ had limited influence on stiffness of biocomposite when , while stiffness of biocomposite decreased with θ when θ>40o. The ultimate tensile strain also increased with θ when θ>40o. Asymmetry was also found in that the crack propagated in matrix surround the platelets when θ>0o. It is found that the crack propagatation on one side of the long axis of the mineral crystal is easier than that on the other side when θ>0o. Conclusions The non-uniform distribution of cracks was found in biological hard tissues arised from non-self-similar hierarchy. The non-uniform crystal arrangement in biocomposite resulted in local damage rather than catastrophic fracture. The finding of this study could shed new light on material design principles.

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  • 收稿日期:2020-05-26
  • 最后修改日期:2020-07-15
  • 录用日期:2020-07-16
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