基于有限元仿真的形状记忆聚合物弓丝初始正畸力分析

doi:10.3969/j.issn.0258-8021. 2016. 02.011

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摘要正畸治疗过程中，临床常用镍钛金属弓丝对人体存在潜在的毒性作用，且缺乏美观性；相比之下形状记忆聚合物（SMP）材料因其良好的力学性能、易成形、美观性，在正畸中受到越来越多的重视。而形状记忆聚氨酯（SMPU）作为一种典型的SMP材料，其在正畸治疗效果方面的研究尚不充分，所能提供的矫治力大小有待进一步探究。在正畸矫治力研究中，临床口内检测非常困难，有限元分析技术是目前最主要的研究手段。针对上述问题，基于Tobushi一维SMP本构方程，参照粘弹性材料标准线性模型构建了SMP材料的三维本构方程，并利用FORTRAN语言编写了可用ABAQUS调用的UMAT子程序；参照正畸临床数据，利用三维建模软件建立了包括牙齿、托槽、弓丝在内的三维有限元模型，以侧切牙、尖牙为研究对象，通过对弓丝施加不同形式的变形，得出SMPU弓丝形变量为3 mm时产生的初始正畸力大小为0.06～0.55 N。结果表明， SMPU弓丝提供的初始正畸力与临床认为的最佳正畸力相比略为偏小，适合正畸治疗的第一阶段；但SMPU材料的力学性能还有进一步提升改善的空间，在正畸领域具有较高的潜在应用价值。

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	仵健磊¹刘云峰^1*彭伟¹林文武¹徐立新²

关键词 ：正畸力, 形状记忆聚合物（SMP）, 有限元, 弓丝

Abstract：In orthodontic treatment, metallic arch wire may produce potential toxic effect to human and can not satisfy the aesthetic requirements. In contrast, shape memory polymer (SMP) arch wire has attracted more and more attention for its good mechanical properties and aesthetic appearance. However, shape memory polyurethane (SMPU) as a typical kind of material, its effect in orthodontic treatment, including the force supplied by SMPU wire still remains to be explored. In orthodontic research, the intra-oral evaluation of the force supplied by appliances is difficult to achieve, and finite element method (FEM) has been widely applied as an alternative method. Aiming at these problems, based on the one-dimensional SMP constitutive equation built by Tobushi, a 3D constitutive equation of SMP is derived reference to the standard model of viscoelastic material, and user-defined material mechanical behavior (UMAT) subroutine used for ABAQUS is written by FORTRAN language. From clinical orthodontics data, a 3D model including teeth, brackets and SMPU arch wire were constructed. Taking a maxillary lateral incisor and a canine as examples, through exerting different deformation on arch wire, the initial orthodontic force of arch wire was acquired by FEM simulation. When deflection is 3 mm, the value range is 0.06～0.55N. The results revealed that the initial orthodontic force of SMPU arch wire is somewhat smaller than the optimal orthodontic force required in clinic, and is suitable in the first phase of orthodontic treatment. But the mechanics performances of SMP are still needed to be improved, which will promote a very high potential value on medical application in the future.

Key words： orthodontic force shape memory polymer（SMP） finite element arch wire

基金资助:国家自然科学基金（51375453）；浙江省自然科学基金（LY13E050017）

引用本文:

仵健磊¹刘云峰^1*彭伟¹林文武¹徐立新². 基于有限元仿真的形状记忆聚合物弓丝初始正畸力分析[J]. 中国生物医学工程学报, 2016, 35(2): 202-210.
Wu Jianlei¹Liu Yunfeng^1*Peng Wei¹Lin Wenwu¹Xu Lixin²
. Initial Orthodontic Force Analysis of Shape Memory Polymer Arch Wire Based on Finite Element Simulation. journal1, 2016, 35(2): 202-210.

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http://cjbme.csbme.org/CN/10.3969/j.issn.0258-8021. 2016. 02.011 或 http://cjbme.csbme.org/CN/Y2016/V35/I2/202

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