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Survival Predictions of Ceramic Crowns Using Statistical Fracture Mechanics

机译:使用统计断裂力学的陶瓷冠的生存预测

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摘要

This work establishes a survival probability methodology for interface-initiated fatigue failures of monolithic ceramic crowns under simulated masticatory loading. A complete 3-dimensional (3D) finite element analysis model of a minimally reduced molar crown was developed using commercially available hardware and software. Estimates of material surface flaw distributions and fatigue parameters for 3 reinforced glass-ceramics (fluormica [FM], leucite [LR], and lithium disilicate [LD]) and a dense sintered yttrium-stabilized zirconia (YZ) were obtained from the literature and incorporated into the model. Utilizing the proposed fracture mechanics–based model, crown survival probability as a function of loading cycles was obtained from simulations performed on the 4 ceramic materials utilizing identical crown geometries and loading conditions. The weaker ceramic materials (FM and LR) resulted in lower survival rates than the more recently developed higher-strength ceramic materials (LD and YZ). The simulated 10-y survival rate of crowns fabricated from YZ was only slightly better than those fabricated from LD. In addition, 2 of the model crown systems (FM and LD) were expanded to determine regional-dependent failure probabilities. This analysis predicted that the LD-based crowns were more likely to fail from fractures initiating from margin areas, whereas the FM-based crowns showed a slightly higher probability of failure from fractures initiating from the occlusal table below the contact areas. These 2 predicted fracture initiation locations have some agreement with reported fractographic analyses of failed crowns. In this model, we considered the maximum tensile stress tangential to the interfacial surface, as opposed to the more universally reported maximum principal stress, because it more directly impacts crack propagation. While the accuracy of these predictions needs to be experimentally verified, the model can provide a fundamental understanding of the importance that pre-existing flaws at the intaglio surface have on fatigue failures.
机译:这项工作为模拟咀嚼载荷下的整体陶瓷冠的界面引发的疲劳失效建立了生存概率方法。使用市售的硬件和软件开发了最小化的磨牙牙冠的完整3维(3D)有限元分析模型。从文献和文献中获得了3种增强玻璃陶瓷(氟云母[FM],白云母[LR]和二硅酸锂[LD])和致密的钇稳定氧化锆(YZ)的材料表面缺陷分布和疲劳参数的估计值。纳入模型。利用提出的基于断裂力学的模型,使用相同的胎冠几何形状和加载条件,通过对4种陶瓷材料进行的仿真获得了胎冠存活概率与加载周期的函数关系。与最近开发的高强度陶瓷材料(LD和YZ)相比,较弱的陶瓷材料(FM和LR)导致较低的存活率。用YZ制造的冠的模拟10年生存率仅略好于用LD制造的冠。另外,扩展了两个模型冠系统(FM和LD),以确定与区域相关的失效概率。该分析预测,基于LD的牙冠更有可能由于边缘区域引起的骨折而失败,而基于FM的牙冠显示出由于接触区域下方的咬合表引起的骨折而导致失败的可能性更高。这两个预测的断裂起始位置与已报告的失败冠的分形分析有一定的一致性。在该模型中,我们考虑了与界面相切的最大拉伸应力,这与更普遍报道的最大主应力相反,因为它更直接地影响裂纹扩展。尽管这些预测的准确性需要通过实验进行验证,但是该模型可以提供对凹版表面上预先存在的缺陷对疲劳失效的重要性的基本理解。

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