Finite Element analysis

有限元分析
  • 文章类型: Journal Article
    本研究针对SAEAMS7475-T7351铝合金在可变载荷下的疲劳寿命预测,常用于建造飞机机身。研究的主要目的是开发一种数值实验程序来分析裂纹扩展,使用考虑应力比R对疲劳裂纹扩展速率da/dN的影响的Walker\'s方法,结合有限元方法和应力强度因子的线性回归。观察表明,沃克模型有效地巩固了疲劳裂纹扩展数据的各种应力比,当纵向应用于L-T轧制方向,由于da/dN方程中指数m对R值的依赖性较低。m值的简单平均有效地计算了沃克指数。遵循ASTM拉伸标准的实验测试方法,断裂韧性,和疲劳,辅以有限元法(FEM)模拟。沃克的模型被证明更有效,而巴黎-埃尔多安模式,忽略了R效应,导致使用寿命估计过于保守。相似原理表明,这种方法可以有效地预测复杂几何形状的情况下的疲劳寿命,其中计算应力强度因子断裂参数具有挑战性,有限元方法显示出效率。
    This study addresses the prediction of fatigue life in SAE AMS 7475-T7351 aluminum alloys under variable loads, commonly used in the construction of aircraft fuselages. The main objective of the research was to develop a numerical-experimental procedure to analyze crack growth, using the Walker\'s approach which considers the effects of the stress ratio R on the fatigue crack growth rate d a / d N , combined with the Finite Element Method and Linear Regression of the Stress Intensity Factor. Observations showed that Walker\'s model effectively consolidated fatigue crack propagation data for various stress ratios when applied longitudinally to L-T rolling orientation, due to low dependence of exponent m on R -value in d a / d N equation. Simple averaging of m values effectively calculated Walker\'s exponent. The methodology employed experimental tests following ASTM standards for tension, fracture toughness, and fatigue, complemented by Finite Element Method (FEM) simulations. The Walker\'s model proved more effective, while the Paris-Erdogan model, which ignores the R effect, resulted in overly conservative service life estimates. The principle of similitude suggests that this methodology could be effective in predicting fatigue life in cases with complex geometries, where calculating the Stress Intensity Factor Fracture parameter is challenging and the Finite Element Method shows efficiency.
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  • 文章类型: Journal Article
    先前的研究表明,支架的结构设计对于减少与支架相关的干预相关的一些令人担忧的术后并发症至关重要。然而,在技术方面,寻找能够保证支架对支架引起的介入后并发症具有鲁棒性的支架仍是一个悬而未决的问题.沿着这个目标,这项研究调查了折入式拉胀支架的结构响应和性能优化。为了追求目标,采用非线性有限元分析(FEA)来揭示拉胀支架的力学行为特征。随后,实施非支配排序遗传算法(NSGA-II),以同时最小化支架的vonMises应力和弹性径向反冲(ERR)。FEA的结果表明,支架的响应与基础拉胀积木的特征(肋骨长度,支柱宽度,和凹角)。观察到拉胀支架表现出低得多的ERR。此外,注意到较大值的肋长度和凹角有利于较小的vonMises应力。基于NSGA-II的优化方案的Pareto最优前沿揭示了在同时最小化vonMises应力和ERR方面的巨大权衡。此外,发现拉胀晶胞几何参数的最佳组合产生的最大vonMises应力约为403MPa,ERR约为0.4%。
    Prior studies have revealed that the structural design of stents is critical to reducing some of the alarming post-operative complications associated with stent-related intervention. However, the technical search for stents that guarantee robustness against stent-induced post-intervention complications remains an open problem. Along this objective, this study investigates a re-entrant auxetic stent\'s structural response and performance optimizations. In pursuit of the goal, a nonlinear finite element analysis (FEA) is employed to uncover metrics characterizing the auxetic stent\'s mechanical behavior. Subsequently, the non-dominated sorting genetic algorithm (NSGA-II) is implemented to simultaneously minimize the stent\'s von Mises stress and the elastic radial recoil (ERR). Results from the FEA revealed a tight connection between the stent\'s response and the features of the base auxetic building block (the rib length, strut width, and the re-entrant angle). It is observed that the auxetic stent exhibits a much lower ERR. Besides, larger values of its rib length and re-entrant angle are noticed to favor smaller von Mises stress. The Pareto-optimal front from the NSGA-II-based optimization scheme revealed a sharp trade-off in the simultaneous minimization of the von Mises stress and the ERR. Moreover, an optimal combination of the auxetic unit cell\'s geometric parameters is found to yield a much lower maximum von Mises stress of ≈403 MPa and ERR of ≈0.4%.
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  • 文章类型: Journal Article
    背景:双膦酸盐(BP)在临床上可以治疗骨质疏松和预防骨质疏松性骨折。然而,BP对皮质骨和骨小梁骨的微观结构和力学性能的影响很少被关注,分开。
    方法:在本研究中,BP用于干预去卵巢雌性SD大鼠。股骨显微CT图像用于测量结构参数并重建感兴趣体积的3D模型。测量皮质骨和骨小梁的结构参数,并利用微观有限元分析对力学性能进行了预测。
    结果:皮质骨的形态结构参数和机械性能与正常,去卵巢(sham-OVX)和BP干预组。然而,BP可以显着提高骨体积分数(BV/TV)和小梁分离(Tb。SP)在股间髁(IT)中(sham-OVXvs.BP,p<0.001),对股骨内侧和外侧髁的BV/TV无显著影响(MT,LT).同样,BP可以显着影响IT的有效模量(sham-OVX与BP,p<0.001),MT和LT无显著差异。此外,结构参数与有效模量呈良好的线性相关关系。
    结论:在短时间内,BP干预和骨质疏松对皮质骨的影响不明显。BP对非主要负重区(IT)骨小梁的影响是有价值的,而对于骨质疏松症,主要承重区域(MT,LT)可以通过运动补偿提高骨小梁的结构质量和机械强度。
    BACKGROUND: Bisphosphonate (BP) can treat osteoporosis and prevent osteoporotic fractures in clinical. However, the effect of BP on microstructure and mechanical properties of cortical and trabecular bone has been taken little attention, separately.
    METHODS: In this study, BP was used to intervene in ovariectomized female SD rats. The femoral micro-CT images were used to measure the structural parameters and reconstruct the 3D models in volume of interest. The structural parameters of cortical and trabecular bone were measured, and the mechanical properties were predicted using micro-finite element analysis.
    RESULTS: There was almost no significant difference in the morphological structure parameters and mechanical properties of cortical bone between normal, ovariectomized (sham-OVX) and BP intervention groups. However, BP could significantly improve bone volume fraction (BV/TV) and trabecular separation (Tb.SP) in inter-femoral condyles (IT) (sham-OVX vs. BP, p < 0.001), and had no significant effect on BV/TV in medial and lateral femoral condyles (MT, LT). Similarly, BPs could significantly affect the effective modulus in IT (sham-OVX vs. BP, p < 0.001), and had no significant difference in MT and LT. In addition, the structural parameters and effective modulus showed a good linear correlation.
    CONCLUSIONS: In a short time, the effects of BP intervention and osteoporosis on cortical bone were not obvious. The effects of BP on trabecular bone in non-main weight-bearing area (IT) were valuable, while for osteoporosis, the main weight-bearing area (MT, LT) may improve the structural quality and mechanical strength of trabecular bone through exercise compensation.
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  • 文章类型: Journal Article
    钢板内固定是桡骨头骨折(RHFs)的常用治疗选择。由于内固定的侵入性较小,并发症较少,应用小直径无头压紧螺钉(HCS)治疗RHF已成为一种新趋势。本研究旨在通过有限元分析比较横向不稳定RHF的四种不同内部固定方案的机械稳定性。使用来自10名患者的计算机断层扫描数据,我们开发了40个患者特异性的横向不稳定RHF模型,交叉,三脚架HCS和迷你T板(MTP)。在模拟肘关节的生理负荷下,结构刚度,位移,通过生物力学实验对vonMises应力进行了评估和验证。在剪切载荷下,MTP组表现出较低的结构刚度,较大的位移,VonMises的压力高于HCSs组。三脚架HCS的刚度大于平行和交叉螺钉固定技术。表观骨密度与结构刚度之间存在很强的关系(R=0.98至0.99)。在横向不稳定RHF的治疗中,HCSs比MTP具有优越的生物力学稳固性。三脚架技术也比平行和交叉固定更稳定。
    Plate fixation is a common treatment option for radial head fractures (RHFs). Due to the benefits of less invasiveness and fewer complications of internal fixation, the application of small-diameter headless compression screws (HCSs) to treat RHFs has become a new trend. This study aimed to compare the mechanical stability of four distinct internal fixation protocols for transversely unstable RHFs via finite element analysis. Using computed tomography data from 10 patients, we developed 40 patient-specific FE models of transversely unstable RHFs fixed by parallel, crossed, and tripod HCSs and mini-T plate (MTP). Under simulated physiological loading of the elbow joint, the construct stiffness, displacement, and von Mises stresses were evaluated and verified by a biomechanical experiment. Under shear loading, the MTP group exhibited lower construct stiffness, larger displacement, and higher Von Mises stress than the HCSs group. The stiffness of tripod HCSs was greater than parallel and crossed screw fixation techniques. There was a strong relationship between apparent bone density and construct stiffness (R = 0.98 to 0.99). In the treatment of transversely unstable RHFs, HCSs have superior biomechanical stability than MTP. The tripod technique was also more stable than parallel and crossed fixation.
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  • 文章类型: Journal Article
    Zygro植入物(ZIs)被开发为一种无graft替代方法,可修复严重重吸收的上颌骨。本研究旨在采用三维有限元分析(FEA)来模拟外部六边形植入物连接(EHC)和内部六边形植入物连接(IHC)对ZI系统中使用ISO14801:2016定义的参数的应力分布和疲劳寿命的影响。在微型CT扫描仪中扫描了两个ZI组件(NobelBiocare和NorisMedical),并使用Nrecon软件进行了重建。三维模型由SimplewareScanIPMedical软件生成。将所有模型导出至FEA软件(ABAQUS),随后导出至疲劳分析软件(Fe-safe)。在盖表面上以40°角施加150N的压缩载荷。在计算机模拟循环测试中应用15Hz频率。植入物部件具有商业纯4级钛(CPTi)和钛-6铝-4钒合金(Ti64)的材料特性。VonMises压力数据,等高线图,和疲劳极限进行了收集和分析。与IHC模型相比,EHC模型在两种材料的植入物组件中显示出较高的峰值应力。然而,模拟骨支持结果显示相反的趋势,IHC比EHC模型具有更高的应力。疲劳分析表明,两种设计的组件都超过了ISO14801:2016使用Ti64的循环次数限制,而CPTi组的最差寿命重复次数相对较低。总之,发现具有IHC的ZI在所测试的两种材料内具有更均匀和有利的应力分布。Ti64展示了两种设计连接的延长的使用寿命。
    Zygomatic implants (ZIs) were developed as a graftless alternative to rehabilitate severely reabsorbed maxillae. This study aims to employ three-dimensional finite element analysis (FEA) to simulate the impact of external hexagonal implant connection (EHC) and internal hexagonal implant connection (IHC) on the stress distribution and fatigue lifetime within the ZI systems using parameters defined in ISO 14801:2016. Two ZI assemblies (Nobel Biocare and Noris Medical) were scanned in a micro-CT scanner and reconstructed using Nrecon software. Three-dimensional models were generated by Simpleware ScanIP Medical software. All models were exported to FEA software (ABAQUS) and subsequently to a fatigue analysis software (Fe-safe). A compressive 150 N load was applied at a 40° angle on the cap surface. A 15 Hz frequency was applied in the in silico cyclic test. The implant components had material properties of commercially pure grade 4 titanium (CPTi) and Titanium-6Aluminum-4Vanadium alloy (Ti64). Von Mises stress data, contour plots, and fatigue limits were collected and analyzed. EHC models exhibited higher peak stresses in implant components for both materials compared to IHC models. However, simulated bone support results showed the opposite trend, with higher stresses on IHCthan EHC models. The fatigue analysis revealed that assemblies with both designs exceeded ISO 14801:2016 number of cycles limits using Ti64, while CPTi groups exhibited comparatively lower worst life-repeats. In conclusion, ZIs with IHC were found to have a more homogeneous and advantageous stress distribution within both materials tested. Ti64 demonstrates a prolonged service life for both design connections.
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  • 文章类型: Journal Article
    复合材料有效力学性能的准确评价主要取决于代表性体积元(RVE)的特性。本文主要研究了RVE的尺寸。此外,钢筋体积分数的影响,边缘效应,讨论了临界尺寸上的RVE类型。首先,通过交叉累积轧制(CARB)方法的九个循环处理Al/Ni多层复合材料。然后,根据复合材料的横截面显微照片创建了一种类型的RVE,以考虑它们的不均匀性。另一种类型是通过使用随机顺序吸附(RSA)程序产生的。此后,计算并比较了两种基于微结构的RVE和基于RSA的RVE的均质有效弹性性能,该性能是Ni体积分数和RVE尺寸的函数。结果表明,通过增加Ni碎片,RVE显示出更硬的弹性行为。通过将Ni的体积分数从0.2Vf增加到0.8Vf,对于基于RSA的RVE,泊松比降低了7%,弹性模量增加了83%。关于Al/Ni(0.8Vf)的基于微观结构的RVE的尺寸,从长度为575μm,宽度为575μm的最大尺寸(尺寸1)到长度为287.5μm,宽度为287.5μm的最小尺寸(尺寸5),弹性模量和泊松比分别下降16%和0.8%,分别。
    The accurate evaluation of the effective mechanical properties of composites mainly depends on the characteristics of representative volume elements (RVEs). This paper mainly investigates the RVE size. Additionally, the effect of volume fraction of reinforcement, the edge effect, and RVE types on the critical size are discussed. First, the Al/Ni multilayered composites were processed by nine cycles of the cross-accumulative roll bonding (CARB) method. Then, one type of RVEs was created based on cross-sectional micrographs of composites to consider their inhomogeneities. Another type was generated by using the random sequential adsorption (RSA) procedure. Thereafter, the homogenized effective elastic properties of both types of microstructure-based RVEs and RSA-based RVEs were computed and compared as a function of the volume fraction of Ni and RVE size. The results showed that by increasing the Ni fragments, the RVEs indicated stiffer elastic behavior. By increasing the volume fraction of Ni from 0.2 Vf to 0.8 Vf, the Poisson ratio decreased by 7 % and the elastic modulus increased by 83 % for RSA-based RVE. Regarding the size of microstructure-based RVE of Al/Ni (0.8 Vf), from the largest size (size 1) with a length of 575 μm and a width of 575 μm to the smallest size (size 5) with a length of 287.5 μm and a width of 287.5 μm, the elastic modulus and the Poisson ratio showed 16 % and 0.8 % decrease, respectively.
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  • 文章类型: Journal Article
    目的:本文回顾了有限元模型(FEM)在个性化牙科中的应用,专注于治疗计划,材料选择,和CAD-CAM工艺。它还讨论了在牙科护理中使用有限元分析(FEA)的挑战和未来方向。
    方法:本研究综合了个性化牙科中有关FEM的最新文献和案例研究,分析研究文章,临床报告,以及FEA在牙科生物力学中应用的技术论文。
    方法:本评论的来源包括同行评审的期刊,学术出版物,临床案例研究,以及有关牙科生物力学和有限元分析的技术论文。关键数据库,如PubMed、Scopus,Embase,和ArXiv用于确定相关研究。
    方法:根据FEM在个性化牙科中的应用相关性选择研究。纳入标准是讨论FEA在治疗计划中的应用的研究,材料选择,和牙科中的CAD-CAM流程。排除标准包括不专注于个性化牙科治疗或不使用FEM作为主要工具的研究。
    结论:FEM对于个性化牙科至关重要,为计算机牙科生物力学建模提供了一个多功能平台。它们可以帮助预测生物力学行为,优化治疗结果,尽量减少临床并发症。尽管需要进一步的进步,FEM可以帮助显着提高个性化牙科护理的治疗精度和疗效。
    结论:个性化牙科中的FEM具有显着提高治疗精度和疗效的潜力,优化结果并减少并发症。它们的整合强调了跨学科合作和计算技术进步以增强个性化牙科护理的必要性。
    OBJECTIVE: This article reviews the applications of Finite Element Models (FEMs) in personalized dentistry, focusing on treatment planning, material selection, and CAD-CAM processes. It also discusses the challenges and future directions of using Finite Element Analysis (FEA) in dental care.
    METHODS: This study synthesizes current literature and case studies on FEMs in personalized dentistry, analyzing research articles, clinical reports, and technical papers on the application of FEA in dental biomechanics.
    METHODS: Sources for this review include peer-reviewed journals, academic publications, clinical case studies, and technical papers on dental biomechanics and Finite Element Analysis. Key databases such as PubMed, Scopus, Embase, and ArXiv were used to identify relevant studies.
    METHODS: Studies were selected based on their relevance to the application of FEMs in personalized dentistry. Inclusion criteria were studies that discussed the use of FEA in treatment planning, material selection, and CAD-CAM processes in dentistry. Exclusion criteria included studies that did not focus on personalized dental treatments or did not utilize FEMs as a primary tool.
    CONCLUSIONS: FEMs are essential for personalized dentistry, offering a versatile platform for in-silico dental biomechanics modeling. They can help predict biomechanical behavior, optimize treatment outcomes, and minimize clinical complications. Despite needing further advancements, FEMs could help significantly enhance treatment precision and efficacy in personalized dental care.
    CONCLUSIONS: FEMs in personalized dentistry hold the potential to significantly improve treatment precision and efficacy, optimizing outcomes and reducing complications. Their integration underscores the need for interdisciplinary collaboration and advancements in computational techniques to enhance personalized dental care.
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  • 文章类型: Journal Article
    背景:目前的研究缺乏对脊柱侧凸矫正过程中脊髓和神经根生物力学变化的全面研究。本研究采用有限元分析来广泛探索不同Cobb角度的这些生物力学变化,为临床治疗提供有价值的见解。
    方法:个性化有限元模型,结合椎骨,韧带,脊髓,和神经根,是使用工程软件构建的。施加力和位移以实现Cobb角改善,指定T1/2-T4/5为上段,T5/6-T8/9为中间段,和T9/10-L1/2作为下段。牵引下的模拟,推,进行了牵引+扭转条件,并分析脊髓各节段和神经根的生物力学变化。
    结果:在脊柱侧凸矫正过程中,在各种条件和移位下,中段脊髓始终存在受伤的风险。在牵引+扭转条件下,脊髓下段无明显损伤变化。在早期校正阶段,在所有情况下,上脊髓段都有受伤的风险,在推挤条件下,下脊髓段存在受伤的风险。牵引条件在中段和下段两侧都有神经损伤的风险。在推动条件下,所有节段的两侧都有神经损伤的风险。牵引+扭转条件涉及上段右神经损伤的风险,中间段的两边,和下段的左侧。在后期校正阶段,在牵引+扭转条件下,上脊髓段有受伤的风险,牵引条件下中段的左神经,在推动条件下,上段的右神经。
    结论:当矫正率达到61-68%时,应特别注意中上脊髓。推送条件也需要注意下脊髓和主胸曲线两侧的神经根。牵引条件需要注意中段和下段两侧的神经根,虽然牵引结合扭转条件需要集中在上段的右侧神经根,中间段的两边,和下段的左侧神经根。
    BACKGROUND: Current research lacks comprehensive investigation into the biomechanical changes in the spinal cord and nerve roots during scoliosis correction. This study employs finite element analysis to extensively explore these biomechanical variations across different Cobb angles, providing valuable insights for clinical treatment.
    METHODS: A personalized finite element model, incorporating vertebrae, ligaments, spinal cord, and nerve roots, was constructed using engineering software. Forces and displacements were applied to achieve Cobb angle improvements, designating T1/2-T4/5 as the upper segment, T5/6-T8/9 as the middle segment, and T9/10-L1/2 as the lower segment. Simulations under traction, pushing, and traction + torsion conditions were conducted, and biomechanical changes in each spinal cord segment and nerve roots were analyzed.
    RESULTS: Throughout the scoliosis correction process, the middle spinal cord segment consistently exhibited a risk of injury under various conditions and displacements. The lower spinal cord segment showed no significant injury changes under traction + torsion conditions. In the early correction phase, the upper spinal cord segment demonstrated a risk of injury under all conditions, and the lower spinal cord segment presented a risk of injury under pushing conditions. Traction conditions posed a risk of nerve injury on both sides in the middle and lower segments. Under pushing conditions, there was a risk of nerve injury on both sides in all segments. Traction + torsion conditions implicated a risk of injury to the right nerves in the upper segment, both sides in the middle segment, and the left side in the lower segment. In the later correction stage, there was a risk of injury to the upper spinal cord segment under traction + torsion conditions, the left nerves in the middle segment under traction conditions, and the right nerves in the upper segment under pushing conditions.
    CONCLUSIONS: When the correction rate reaches 61-68%, particular attention should be given to the upper-mid spinal cord. Pushing conditions also warrant attention to the lower spinal cord and the nerve roots on both sides of the main thoracic curve. Traction conditions require attention to nerve roots bilaterally in the middle and lower segments, while traction combined with torsion conditions necessitate focus on the right-side nerve roots in the upper segment, both sides in the middle segment, and the left-side nerve roots in the lower segment.
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  • 文章类型: Journal Article
    目前盆腔恶性肿瘤的主要治疗方法包括肿瘤切除后的半骨盆假体重建。在EnnekingII+III型骨盆肿瘤的病例中,假体需要固定在剩余的髂骨上。假体固定的常用方法包括鞍座假体,冰淇淋假体,模块化半骨盆假体,和使用三维打印的个性化假肢。为了防止半骨盆假体的失败,设计了一种新颖的固定方法,并进行了有限元分析。在临床病例中,第三个和第四个骶骨螺钉断裂,在有限元分析的结果中也观察到了这种现象。在原有手术模式的基础上,设计是为辅助背髂关节设计的,辅助髂底,辅助骶骨螺钉,和辅助耻骨支固定。然后在步态周期的最大载荷下进行了非线性准静态有限元分析,结果表明,辅助骶骨背侧固定显著降低了骶骨螺钉上的应力和超过28μm的相对微动。耻骨支的固定进一步增加了假体的初始稳定性及其界面骨整合能力。因此,对于半骨盆假体,合并耻骨支支撑和髂背固定是可取的,为半骨盆肿瘤假体的应用提供了新的选择。
    The current primary treatment approach for malignant pelvic tumors involves hemipelvic prosthesis reconstruction following tumor resection. In cases of Enneking type II + III pelvic tumors, the prosthesis necessitates fixation to the remaining iliac bone. Prevailing methods for prosthesis fixation include the saddle prosthesis, ice cream prosthesis, modular hemipelvic prosthesis, and personalized prosthetics using three-dimensional printing. To prevent failure of hemipelvic arthroplasty protheses, a novel fixation method was designed and finite element analysis was conducted. In clinical cases, the third and fourth sacral screws broke, a phenomenon also observed in the results of finite element analysis. Based on the original surgical model, designs were created for auxiliary dorsal iliac, auxiliary iliac bottom, auxiliary sacral screw, and auxiliary pubic ramus fixation. A nonlinear quasi-static finite element analysis was then performed under the maximum load of the gait cycle, and the results indicated that assisted sacral dorsal fixation significantly reduces stress on the sacral screws and relative micromotion exceeding 28 μm. The fixation of the pubic ramus further increased the initial stability of the prosthesis and its interface osseointegration ability. Therefore, for hemipelvic prostheses, incorporating pubic ramus support and iliac back fixation is advisable, as it provides new options for the application of hemipelvic tumor prostheses.
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  • 文章类型: Journal Article
    这项研究评估了使用几种镍钛旋转系统后下颌磨牙在咬合力下的应力分布,并通过有限元分析(FEA)确定了潜在的根部骨折模式。使用了五个三维打印的下颌磨牙,留下一颗牙齿未成形,其余四个使用ProTaperGold(Dentsply,塔尔萨牙科专业,塔尔萨,OK),Reciproc蓝色(VDW,慕尼黑,德国),XP-endoShaper(FKGDentaire,LaChaux-de-Fonds,瑞士),和HyflexEDM(Coltene/Whaledent,Altst€atten,瑞士)旋转系统。随后,对牙齿进行了显微CT扫描,并生成了代表性的FEA模型。两种不同的载荷,垂直和倾斜,被应用,和应力参数,包括冯·米塞斯应力,最大主应力,并记录和比较各组的最小主应力。尽管两种加载条件下的应力值与成型后的体积增加相关,提示潜在骨折的应力分布模式在各组间具有可比性.观察到倾斜载荷下的应力高于垂直载荷下的应力。几个旋转系统,基于它们在牙齿硬组织中引起的体积变化,可能会提高整个牙齿的应力值,导致应力集中区域的根部断裂。保守的根管成形导致较低的整体应力集中。在下颌磨牙中,与垂直力相比,斜力具有更大的破坏性作用。
    This study assessed the stress distribution under occlusal forces in mandibular molars after utilizing several nickel-titanium rotary systems and identified potential root fracture patterns through finite element analysis (FEA). Five three-dimensionally printed mandibular molars were used, with one tooth left unshaped and the remaining four shaped using ProTaper Gold (Dentsply, Tulsa Dental Specialties, Tulsa, OK), Reciproc Blue (VDW, Munich, Germany), XP-endo Shaper (FKG Dentaire, La Chaux-de-Fonds, Switzerland), and Hyflex EDM (Coltene/Whaledent, Altst€atten, Switzerland) rotary systems. Subsequently, micro-CT scans were performed on the teeth, and representative FEA models were generated. Two distinct loadings, vertical and oblique, were applied, and stress parameters including von Mises stress, maximum principal stress, and minimum principal stress were recorded and compared across groups. Although stress values in both loading conditions correlated with volume increases post-shaping, the stress distribution patterns indicative of potential fractures were comparable across groups. Stresses under oblique loads were observed to be higher than those under vertical loads. Several rotary systems, based on the volumetric changes they induce in dental hard tissues, may elevate stress values throughout the tooth, leading to root fractures in regions where stress concentration occurs. Conservative root canal shaping leads to a lower overall stress concentration. In mandibular molars, oblique forces have a more destructive effect compared to vertical forces.
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