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光固化牙科修复体中各层形状对收缩应力峰值的影响——有限元研究。

Influence of the shape of the layers in photo-cured dental restorations on the shrinkage stress peaks-FEM study.

机构信息

Warsaw University of Technology, Faculty of Mechatronics, Division of Applied Mechanics, ul. Sw. Andrzeja Boboli 8, 02-525 Warszawa, Poland.

出版信息

Dent Mater. 2009 Dec;25(12):e83-91. doi: 10.1016/j.dental.2009.07.014. Epub 2009 Sep 27.

Abstract

OBJECTIVE

The aim of the paper is to analyse an influence of the shape of the layers in photo-cured dental restorations of Class I on distribution of shrinkage stresses along the tooth-restoration interface. The study is a continuation of the previous considerations (Kowalczyk and Gambin (2008) [1]), where techniques, which reduce stress concentration at the top of the tooth-restoration interface, were considered. The analysis leads to proposition of new layer forming techniques, which diminish the stress peaks at the interface and prevent the crack propagation process.

METHODS

To find the stress distributions in the dental restoration layers and the tooth tissues the finite element method implemented in the ABAQUS (Simulia, Providence, USA) software is used. For Class I restoration of the premolar tooth, the axisymmetrical model is assumed. The restoration is made of four layers of a photo-cured composite. Between the tooth tissues and the restoration, a layer of bonding agent 0.01mm thick is placed and modeled by FEM with help of the cohesive elements. The assumed model takes into account an influence of changes of elastic properties and viscous effects. For each case of the restoration layers system, the Huber-Mises stresses are analysed.

RESULTS

The investigations show that the stresses near the restoration-tooth tissue interface are reduced due to viscous flow of the cured material and due to existence of a thin layer of the bonding agent. However, the stress distribution both, in the restoration and in the tooth tissues, is strongly dependent on a shape of the filling layers. Numerical simulations disclose that stress peaks are located at the top corners of each layer. The top corners of the last layer are the places where microleakage may occur. Stress concentrations at the corners of the preceding layers may lead to a growth of uprising crack. It will be shown that the flat layers in the restoration create relatively high values of the stress peaks. The rounded layers, with shapes close to those used in dental practice, reduce maximal stresses about 40%. According to a common opinion of dentists, the wedge-shaped layers give the best result. In the present paper, another way of the shrinkage stress reduction is proposed. Before the layering, one can cover the surface of the tooth cavity with a thin "pre-layer". Next, the remainder cavity may be filled with flat, rounded or wedged layers. It will be shown, that in the fillings with the pre-layers, stress peaks are reduced up to 75%, with respect to the fillings composed of the rounded layers only. The proposed method considerably reduces the shrinkage stress, both in the tooth restoration, as well as, in the tooth tissues.

SIGNIFICANCE

The fillings with the pre-layer are easy in application and its analysis gives promising results. The pre-layer may be applied with other layers of different shapes, and its thickness may vary. The method is recommended for cavities with a great loss of the tooth tissue.

摘要

目的

本文旨在分析 I 类光固化牙科修复体各层形状对沿牙-修复体界面收缩应力分布的影响。本研究是对上一研究(Kowalczyk 和 Gambin(2008)[1])的延续,该研究考虑了减少牙-修复体界面顶端应力集中的技术。分析得出了新的分层形成技术的建议,这些技术可以减少界面处的应力峰值并防止裂纹扩展过程。

方法

为了找到牙科修复层和牙齿组织中的应力分布,使用了 ABAQUS(Simulia,普罗维登斯,美国)软件中的有限元方法。对于前磨牙的 I 类修复,假设为轴对称模型。修复体由四层光固化复合材料组成。在牙齿组织和修复体之间,放置了一层 0.01mm 厚的粘结剂,并通过有限元法和内聚元对其进行建模。所假设的模型考虑了弹性性质变化和粘性效应的影响。针对修复层系统的每种情况,分析了胡伯-米塞斯(Huber-Mises)应力。

结果

研究表明,由于固化材料的粘性流动和粘结剂的存在,修复体与牙齿组织界面附近的应力减小。然而,修复体和牙齿组织中的应力分布都强烈依赖于填充层的形状。数值模拟表明,应力峰值位于每层的顶角处。最后一层的顶角是可能发生微渗漏的位置。前一层的顶角处的应力集中可能导致凸起裂纹的生长。结果表明,修复体中的平面层会产生相对较高的应力峰值。形状接近牙科实践中使用的形状的圆形层可将最大应力降低约 40%。根据牙医的普遍观点,楔形层的效果最好。在本文中,提出了另一种减少收缩应力的方法。在分层之前,可以在牙腔表面覆盖一层薄的“预层”。接下来,可以用扁平、圆形或楔形层填充剩余的腔。结果表明,与仅用圆形层填充的填充物相比,使用预层的填充物中的应力峰值降低了 75%。该方法可大大降低修复体中的收缩应力,以及牙齿组织中的收缩应力。

意义

带预层的填充物易于应用,其分析结果很有前景。预层可以与其他不同形状的层一起应用,并且其厚度可以变化。该方法推荐用于牙齿组织损失较大的腔。

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