Inverse finite element analysis for an axisymmetric model of vertical tooth extraction

IF 3.3 2区医学 Q2 ENGINEERING, BIOMEDICAL Journal of the Mechanical Behavior of Biomedical Materials Pub Date : 2024-06-22 DOI:10.1016/j.jmbbm.2024.106641

Timothy J. Gadzella , Lindsey Westover , Owen Addison , Dan L. Romanyk

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Abstract

Background and objective

Tooth extraction is a common clinical procedure with biomechanical factors that can directly influence patient outcomes. Recent development in atraumatic extraction techniques have endeavoured to improve treatment outcomes, but the characterization of extraction biomechanics is sparse. An axisymmetric inverse finite element (FE) approach is presented to represent the biomechanics of vertical atraumatic tooth extraction in an ex-vivo swine model.

Methods

Geometry and boundary conditions from the model are determined to match the extraction of swine incisors in a self-aligning ex vivo extraction experiment. Material parameters for the periodontal ligament (PDL) model are determined by solving an inverse FE problem using clusters of data obtained from 10 highly-controlled mechanical experiments. A seven-parameter visco-hyperelastic damage model, based on an Arruda-Boyce framework, is used for curve fitting. Three loading schemes were fit to obtain a common set of material parameters.

Results

The inverse FE results demonstrate good predictions for overall force-time curve shape, peak force, and time to peak force. The fit model parameters are sufficiently consistent across all three cases that a coefficient-averaged model was taken that compares well to all three cases. Notably, the initial modulus $, u,$ converged across trials to an average value of 0.472 MPa with an average viscoelastic constant $g$ of 0.561.

Conclusions

The presented model is found to have consistent parameters across loading cases. The capability of this model to represent the fundamental mechanical characteristics of the dental complex during vertical extraction loading is a significant advancement in the modelling of extraction procedures. Future work will focus on verifying the model as a predictive design tool for assessing new loading schemes in addition to investigating its applications to subject-specific problems.

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垂直拔牙轴对称模型的反向有限元分析。

背景和目的：拔牙是一种常见的临床手术，其生物力学因素可直接影响患者的治疗效果。最近开发的非创伤性拔牙技术致力于改善治疗效果，但对拔牙生物力学的描述却很少。本文介绍了一种轴对称反向有限元（FE）方法，用于在活体猪模型中表现垂直非创伤性拔牙的生物力学：方法：确定模型的几何形状和边界条件，使其与自对齐体外拔牙实验中的猪门牙拔除相匹配。牙周韧带（PDL）模型的材料参数是利用从 10 个高度控制的机械实验中获得的数据集求解反向 FE 问题而确定的。基于 Arruda-Boyce 框架的七参数粘弹性损伤模型用于曲线拟合。拟合了三种加载方案，以获得一组通用的材料参数：反向 FE 结果表明，对整体力-时间曲线形状、峰值力和达到峰值力的时间都有很好的预测。拟合模型参数在所有三种情况下都足够一致，因此采用的系数平均模型与所有三种情况都有很好的比较。值得注意的是，各次试验的初始模量 u 趋于平均值 0.472 兆帕，平均粘弹性常数 g 为 0.561.结论：所提出的模型在不同加载情况下具有一致的参数。该模型能够代表垂直拔牙加载过程中牙科复合体的基本机械特性，是拔牙过程建模的一大进步。未来的工作重点是验证该模型是否可作为评估新加载方案的预测性设计工具，以及研究其在特定对象问题上的应用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of the Mechanical Behavior of Biomedical Materials 工程技术-材料科学：生物材料

CiteScore

7.20

自引率

7.70%

发文量

505

审稿时长

46 days

期刊介绍： The Journal of the Mechanical Behavior of Biomedical Materials is concerned with the mechanical deformation, damage and failure under applied forces, of biological material (at the tissue, cellular and molecular levels) and of biomaterials, i.e. those materials which are designed to mimic or replace biological materials. The primary focus of the journal is the synthesis of materials science, biology, and medical and dental science. Reports of fundamental scientific investigations are welcome, as are articles concerned with the practical application of materials in medical devices. Both experimental and theoretical work is of interest; theoretical papers will normally include comparison of predictions with experimental data, though we recognize that this may not always be appropriate. The journal also publishes technical notes concerned with emerging experimental or theoretical techniques, letters to the editor and, by invitation, review articles and papers describing existing techniques for the benefit of an interdisciplinary readership.