Modeling fracture in multilayered teeth using the finite volume-based phase field method

IF 3.3 2区医学 Q2 ENGINEERING, BIOMEDICAL Journal of the Mechanical Behavior of Biomedical Materials Pub Date : 2024-07-08 DOI:10.1016/j.jmbbm.2024.106655

Xueliang Yang , Entang Wang , Wei Sun , Fudong Zhu , Ning Guo

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Abstract

The present work, utilizing the finite volume-based phase field method (FV-based PFM), aims to investigate the initiation and propagation of cracks in the second molar of the left mandible under occlusal loading. By reconstructing cone beam computed tomography scans of the patient, the true morphology and internal mesostructure of the entire tooth are implemented into numerical simulations, including both 2D slice models and a realistic 3D model. Weibull functions are introduced to represent the tooth's heterogeneity, enabling the stochastic distribution characteristics of mechanical parameters. The results indicate that stronger heterogeneity leads to greater crack tortuosity, uneven damage distribution, and lower fracture stress. Additionally, different cusp angles (50° and 70°) and pre-existing fissure morphologies (i.e., U-shape, V-shape, IK-shape, I-shape, and IY-shape) also significantly affect the mechanical performance of the tooth. The study reveals that different cusp angles affect the location of crack initiation. Overall, this work demonstrates the utility of the FV-based PFM framework in capturing the complex fracture behavior of teeth, which can contribute to improved clinical treatment and prevention of tooth fractures. The insights gained from this study can inform the design of dental crown restorations and the optimization of cusp inclination and contact during clinical occlusal adjustments.

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使用基于有限体积的相场法建立多层牙齿断裂模型。

本研究采用基于有限体积的相场方法（FV-based PFM），旨在研究左下颌第二磨牙在咬合负荷下裂纹的产生和扩展。通过重建患者的锥形束计算机断层扫描图像，将整个牙齿的真实形态和内部中层结构应用到数值模拟中，包括二维切片模型和逼真的三维模型。引入 Weibull 函数来表示牙齿的异质性，从而实现机械参数的随机分布特征。结果表明，较强的异质性会导致更大的裂纹迂回、不均匀的损伤分布和较低的断裂应力。此外，不同的尖角（50° 和 70°）和预先存在的裂隙形态（即 U 形、V 形、IK 形、I 形和 IY 形）也会显著影响牙齿的机械性能。研究显示，不同的尖角会影响裂纹的起始位置。总之，这项工作证明了基于 FV 的 PFM 框架在捕捉牙齿复杂断裂行为方面的实用性，有助于改善牙齿断裂的临床治疗和预防。从这项研究中获得的见解可以为牙冠修复体的设计以及临床咬合调整过程中尖牙倾斜和接触的优化提供参考。

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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.