Shi Li, Fok Alex S L
Institute of Nuclear and New Energy Technology, Tsinghua University, Beijing, China.
Dent Mater. 2009 Jun;25(6):791-801. doi: 10.1016/j.dental.2009.01.001. Epub 2009 Jan 31.
Failures of fixed partial dentures (FPDs) made of fibre-reinforced composites (FRC) have been reported in many clinical and in vitro studies. The types of failure include debonding at the composite-tooth interface, delamination of the veneering material from the FRC substructure and fracture of the pontic. The design of the FRC substructure, i.e. the position and orientation of the fibres, will affect the fracture resistance of the FPD.
The purpose of this study was to find an optimal arrangement of the FRC substructure, by means of structural optimization, which could minimize the failure-initiating stresses in a three-unit FPD.
A structural optimization method mimicking biological adaptive growth was developed for orthotropic materials such as FRC and incorporated into the finite element (FE) program ABAQUS. Using the program, optimization of the fibre positions and directions in a three-unit FPD was carried out, the aim being to align the fibre directions with those of the maximum principal stresses. The optimized design was then modeled and analyzed to verify the improvements in mechanical performance of the FPD.
Results obtained from the optimization suggested that the fibres should be placed at the bottom of the pontic, forming a U-shape substructure that extended into the connectors linking the teeth and the pontic. FE analyses of the optimized design indicated stress reduction in both the veneering composite and at the interface between the veneer and the FRC substructure.
The optimized design obtained using FE-based structural optimization can potentially improve the fracture resistance of FPDs by reducing some of the failure-initiating stresses. Optimization methods can therefore be a useful tool to provide sound scientific guidelines for the design of FRC substructures in FPDs.
许多临床和体外研究都报道了纤维增强复合材料(FRC)制成的固定局部义齿(FPD)出现失败的情况。失败类型包括复合材料与牙齿界面处的脱粘、饰面材料与FRC子结构的分层以及桥体骨折。FRC子结构的设计,即纤维的位置和方向,会影响FPD的抗断裂性。
本研究的目的是通过结构优化找到FRC子结构的最佳排列方式,以最小化三单位FPD中的引发失败应力。
针对FRC等正交各向异性材料,开发了一种模拟生物适应性生长的结构优化方法,并将其纳入有限元(FE)程序ABAQUS中。使用该程序,对三单位FPD中的纤维位置和方向进行了优化,目的是使纤维方向与最大主应力方向对齐。然后对优化设计进行建模和分析,以验证FPD机械性能的改进。
优化得到的结果表明,纤维应放置在桥体底部,形成一个U形子结构,该结构延伸到连接牙齿和桥体的连接体中。对优化设计的有限元分析表明,饰面复合材料以及饰面与FRC子结构之间的界面处的应力均有所降低。
使用基于有限元的结构优化获得的优化设计可能通过降低一些引发失败应力来提高FPD的抗断裂性。因此,优化方法可以成为为FPD中FRC子结构的设计提供可靠科学指导的有用工具。