Effect of Compromised Cortical Bone on Implant Load Distribution

Purpose: To investigate photoelastically the difference in load distribution of dental implants with different implant neck designs in intact and compromised bone. Materials and Methods: Composite photoelastic models were fabricated using two different resins to simulate trabecular bone and a 1‐mm thick layer of cortical bone. The following parallel‐sided, threaded implants were centrally located in individual models representing intact and compromised cortical bone: Straumann (4.1‐mm diameter × 12‐mm length), AstraTech (4.0‐mm diameter × 13‐mm length), and 3i (3.75‐mm diameter × 13‐mm length). The compromised cortical bone condition was simulated by contaminating a 1‐mm neck portion with Vaseline to impair the implant–resin interface. Vertical and oblique static loads were applied on the abutments, and the resulting stresses were monitored photoelastically and recorded photograhphically. Results: For the fully intact condition, the highest stresses were observed around the crest and apical region for all implant designs under vertical and inclined loads. There were no appreciable differences in magnitude or distribution between implant types. With compromised cortical bone, for all designs and load directions, higher stresses in the supporting structures were observed. Increased stresses were noted especially at the cortical bone–trabecular bone interface. Somewhat lower stress levels were observed with the 3i implant. Conclusions: The condition of implant–cortical bone contact has considerable influence on stress distribution. A compromised cortical bone condition caused higher level stresses for all implant designs tested.     

Implant biomechanics in grafted sinus: a finite element analysis

This in vitro study investigated the stress distribution in the bone surrounding an implant that is placed in a posterior edentulous maxilla with a sinus graft. The standard threaded implant and anatomy of the crestal cortical bone, cancellous bone, sinus floor cortical bone, and grafted bone were represented in the 3-dimensional finite element models. The thickness of the crestal cortical bone and stiffness of the graft were varied in the models to simulate different clinical scenarios, representing variation in the anatomy and graft quality. Axial and lateral loads were considered and the stresses developed in the supporting structures were analyzed. The finite element models showed different stress patterns associated with helical threads. The von Mises stress distribution indicated that stress was maximal around the top of the implant with varying intensities in both loading cases. The stress was highest in the cortical bone, lower in the grafted bone, and lowest in the cancellous bone. When the stiffness of the grafted bone approximated the cortical bone, axial loading resulted in stress reduction in all the native bone layers; however, lateral loading produced stress reduction in only the cancellous bone. When the stiffness of the graft was less than that of the cancellous bone, the graft assumed a lesser proportion of axial loads. Thus, it caused a concomitant stress increase in all the native bones, whereas this phenomenon was observed in only the cancellous bone with lateral loading. The crestal cortical bone, though receiving the highest intensity stresses, affected the overall stress distribution less than the grafted bone. The stress from the lateral load was up to 11 times higher than that of the axial load around the implant. These findings suggest that the type of loading affects the load distribution more than the variations in bone, and native bone is the primary supporting structure.     

纳米羟基磷灰石/聚醚醚酮复合种植体受力的三维有限元分析

目的:评价纳米羟基磷灰石/聚醚醚酮(Nano-hydroxyapatite/Polyetheretherketone ,n-HA/PEEK)仿生种植材料受力时种植体及其周围骨组织的应力特征,为该种植材料的临床运用提供生物力学依据。方法:根据CT扫描数据及种植体产品数据建立包括牙槽骨、种植体的三维有限元模型,比较在150N垂直加载条件下n-HA/PEEK和钛种植体周围骨皮质及骨松质的应力分布。结果:两种材料应力分布规律:紧邻种植体颈部的骨皮质应力最大远离处逐渐减小,皮质骨内两种材料的表面最大应力有显著性差异(P<0.05)。负重时钛金属种植体其表面应力波动变化范围增大,容易形成应力集中。同骨组织具有相似弹性模量的n-HA/PEEK材料表面应力分布更均匀。结论:n-HA/PEEK材料更有利于将种植体所受载荷以应力的形式传递到周围骨组织中去,有利于保持骨结合面的长期稳定。     

Comparative evaluation of peri-implant stress distribution in implant protected occlusion and cuspally loaded occlusion on a 3 unit implant supported fixed partial denture: A 3D finite element analysis study

PURPOSETo assess peri-implant stress distribution using finite element analysis in implant supported fixed partial denture with occlusal schemes of cuspally loaded occlusion and implant protected occlusion.MATERIALS AND METHODSA 3-D finite element model of mandible with D2 bone with partially edentulism with unilateral distal extension was made. Two Ti alloy identical implants with 4.2 mm diameter and 10 mm length were placed in the mandibular second premolar and the mandibular second molar region and prosthesis was given with the mandibular first molar pontic. Vertical load of 100 N and and oblique load of 70 N was applied on occlusal surface of prosthesis. Group 1 was cuspally loaded occlusion with total 8 contact points and Group 2 was implant protected occlusion with 3 contact points.RESULTSIn Group 1 for vertical load , maximum stress was generated over implant having 14.3552 Mpa. While for oblique load, overall stress generated was 28.0732 Mpa. In Group 2 for vertical load, maximum stress was generated over crown and overall stress was 16.7682 Mpa. But for oblique load, crown stress and overall stress was maximum 22.7561 Mpa. When Group 1 is compared to Group 2, harmful oblique load caused maximum overall stress 28.0732 Mpa in Group 1.CONCLUSIONIn Group 1, vertical load generated high implant stress, and oblique load generated high overall stresses, cortical stresses and crown stresses compared to vertical load. In Group 2, oblique load generated more overall stresses, cortical stresses, and crown stresses compared to vertical load. Implant protected occlusion generated lesser harmful oblique implant, crown, bone and overall stresses compared to cuspally loaded occlusion.     

种植体-基台连接形式对种植体周围骨组织应力分布的影响

目的分析种植体-基台连接形式对种植体周围骨组织应力分布的影响，从生物力学角度探讨平台转换连接形式防止或减少种植体周围骨吸收的可能机制。方法利用COSMOSM2．85软件包建立种植体支持的下颌第一磨牙三维有限元模型，种植体-基台的连接形式分别采用平齐对接（模型A）和平台转换（模型B）。采用垂直和斜向两种形式加载，载荷均为200N，比较两种模型种植体周围骨组织的应力分布情况以及种植体-骨界面颊舌侧相同位置的von Mises应力大小。结果不同加载条件下两种模型种植体周围骨组织应力集中在种植体颈部颊舌侧骨皮质内，斜向加载时最大von Mises应力值高于垂直加载时。模型A和模型B骨组织内最大von Mises应力值在垂直加载时，分别为11．61MPa和7．15MPa，斜向加载时分别为22．07MPa和11．87MPa。距离种植体-基台连接处越远，von Mises应力值越小，骨皮质到骨松质交界处的应力变化最明显。与模型A相比，模型B种植体-骨界面相同节点的最大von Mises应力值较小。结论与平齐对接形式相比，平台转换设计可改善种植体周围骨组织的应力分布，降低种植体颈部骨组织所受的应力。     

Influence of maxillary cortical bone thickness,implant design and implant diameter on stress around implants: A three-dimensional finite element analysis

PurposeThere is no clear evidence of the factors that could improve implant biomechanics in the posterior maxilla. Thus, a finite element analysis was performed to investigate the effect of maxillary cortical bone thickness, implant design and diameter on stress around implants.MethodsA total of 12 models of the posterior maxilla with implant were computer-simulated by varying the thickness of the alveolar cortical bone (1.5, 1.0, 0.5 or 0 mm) and implant characteristics (cylindrical implant of 4.1-mm diameter, screw-type implants of 4.1-mm or 4.8-mm outer diameters). On top of each implant, forces were separately applied axially (100 N) and buccolingually (50 N), and the von Mises stresses were calculated.ResultsRegardless of load direction, implant design and diameter, cortical and cancellous bone stresses increased with the decrease of crestal cortical bone thickness. In the absence of crestal cortical bone, cancellous bone stresses were highest and, under axial load, were transferred to the sinus floor. Implant design and diameter influenced stress to a less extent, especially under buccolingual load and in the presence of crestal cortical bone.ConclusionsFrom a biomechanical viewpoint, to improve implant success odds in the posterior maxilla, rather than implant selection, careful preoperative evaluation of the cortical bone at the planned implant site is recommended. If this cortical bone is very thin or even lacking, implant treatment should be carried on with caution by progressive loading in the range of functional loads.     

Bivariate Evaluation of Cylinder Implant Diameter and Length: A Three-Dimensional Finite Element Analysis

Purpose: To evaluate continuous and simultaneous variations of implant diameter and length for an experimental cylinder implant.
Materials and Methods: A finite element model of a mandible segment with implant was created. The range of implant diameter (D) was set from 2.5 to 5.0 mm, and that of implant length (L) from 6.0 to 16.0 mm. The maximum Von Mises stresses in the mandible were evaluated, and the sensitivity of the stresses in the mandible to the variables was also evaluated.
Results: Under axial load, the maximum von Mises stresses in cortical and cancellous bones decreased by 73.3% and 69.4%, respectively, with D and L increasing. Under buccolingual load, those decreased 83.8% and 79.2%, respectively. When D exceeded 3.9 mm and L exceeded 10.0 mm, the tangent slope rate of the maximum von Mises stress response curve ranged from −1 to 0. The variation of the maximum von Mises stresses in the mandible was more sensitive to D than to L.
Conclusions: Buccolingual force is apt to be influenced by the two implant parameters; implant diameter and length favor stress distribution in cortical bone and cancellous bone, respectively. Implant diameter exceeding 3.9 mm and implant length exceeding 10.0 mm are the optimal choice for type B/2 bone in a cylinder implant. The implant diameter is more important than length in reducing bone stress.     

A finite element analysis of two different dental implants: stress distribution in the prosthesis, abutment, implant, and supporting bone

This study evaluates the influence of 2 commercially available dental implant systems on stress distribution in the prosthesis, abutment, implant, and supporting alveolar bone under simulated occlusal forces, employing a finite element analysis. The implants and abutments evaluated consisted of a stepped cylinder implant connected to a screw-retained, internal, hexagonal abutment (system 1) and a conical implant connected to a solid, internal, conical abutment (system 2). A porcelain-covered, silver-palladium alloy was used as a crown. In each case, a simulated, 100-N vertical load was applied to the buccal cusp. A finite element model was created based on the physical properties of each component, and the values of the von Mises stresses generated in the prosthesis, abutment, implant, and supporting alveolar bone were calculated. In the prostheses, the maximum von Mises stresses were concentrated at the points of load application in both systems, and they were greater in system 1 (148 N/mm2) than in system 2 (55 N/mm2). Stress was greater on the abutment of system 2 than of system 1 on both the buccal (342 N/mm2 x 294 N/mm2) and lingual (294 N/mm2 x 148 N/ mm2) faces. Stress in the cortical, alveolar bone crest was greater in system 1 than in system 2 (buccal: 99.5 N/mm2 x 55 N/mm2, lingual: 55 N/mm2 x 24.5 N/mm2, respectively). Within the limits of this investigation, the stepped cylinder implant connected to a screw-retained, internal hexagonal abutment produces greater stresses on the alveolar bone and prosthesis and lower stresses on the abutment complex. In contrast, the conical implant connected to a solid, internal, conical abutment furnishes lower stresses on the alveolar bone and prosthesis and greater stresses on the abutment.     

种植体螺纹位置对应力分布影响的有限元研究

目的研究集中载荷下,螺纹不同位置设计对种植体及其周围骨组织应力分布的影响,探讨种植体表面螺纹分布的优化设计。方法应用Solidworks 2005 plus自动化软件和Cosmos/works 7.0分析软件比较在垂直和斜向45°载荷下,螺纹分别位于种植体上1/3（模型A）、中1/3（模型B）、下1/3（模型C）以及遍及整个种植体（模型D）4种情况下种植体-骨界面应力分布状况。结果模型C颈部皮质骨Von-Mises应力、拉应力、压应力峰值最低,但斜向载荷下模型C种植体和松质骨应力显著高于模型A。模型B应力分布明显集中,垂直载荷下各应力均显著高于其他3种模型。模型A和D应力分布较均匀。应力集中主要出现在种植体颈部、皮质骨上缘与种植体接触处和种植体底部最下一个螺纹。斜向载荷下界面的应力显著高于垂直载荷下应力。结论螺纹位置影响种植体-骨界面的应力分布,种植体设计时应谨慎考虑,斜向载荷在种植修复中应尽可能避免。     

Comparative evaluation of the effect of diameter, length and number of implants supporting three-unit fixed partial prostheses on stress distribution in the bone.

OBJECTIVES: The purpose of this study was to compare the effects of the diameter, the length and the number of implants on stress distribution in the bone around the implants supporting three-unit fixed partial prostheses in the mandibular posterior edentulism. MATERIALS AND METHOD: A mandibular Kennedy II three-dimensional finite element model was constructed. Four fixed partial prostheses with two terminal implant supports of various lengths and diameters, and two fixed partial prostheses with three implant supports of various lengths were designed. In separate load cases, 400 N oblique, 200 N vertical, and 57 N horizontal forces were simulated. The tensile and the compressive stress values in the cortical bone around the collar of the implants and Von Mises stresses in the implants were evaluated. RESULTS: Although the change in the length of implants did not decrease the stress levels, lower tensile and compressive stress values were observed in the bone for wider implant placement configurations. Similar stress distributions and close stress levels were observed for two wider implant supports in comparison with the three-implant-supported fixed partial prostheses. CONCLUSION: With the use of two implants of 4.1-mm diameter and 10-mm length as terminal supports for three-unit fixed prostheses, the magnitude and the distribution of stresses in the cortical bone around the implant collar is within the normal physiological limits.     

Biomechanical aspects of marginal bone resorption around osseointegrated implants: considerations based on a three-dimensional finite element analysis

OBJECTIVES: Although bone loss around implants is reported as a complication when it progresses uncontrolled, resorption does not always lead to implant loss, but may be the result of biomechanical adaptation to stress. To verify this hypothesis, a three-dimensional finite element analysis was performed and the influence of marginal bone resorption amount and shape on stress in the bone and implant was investigated. MATERIAL AND METHODS: A total of nine bone models with an implant were created: a non-resorption (Base) model and eight variations, in which three different resorption depths were combined with pure vertical or conical (vertical-horizontal) resorption. Axial and buccolingual forces were applied independently to the occlusal node at the center of the superstructure. RESULTS: Regardless of load direction, bone stresses were higher in the pure vertical resorption (A) models than in the Base model, and increased with resorption depth. However, cortical bone stress was much lower in the conical resorption models than in both the Base and A models of the same resorption depth. An opposite tendency was observed in the cancellous bone under buccolingual load. Under buccolingual load, highest stress in the implant increased linearly with the resorption depth for all the models and its location approached the void existing below the abutment screw. CONCLUSIONS: The results of this analysis suggest that a certain amount of conical resorption may be the result of biomechanical adaptation of bone to stress. However, as bone resorption progresses, the increasing stresses in the cancellous bone and implant under lateral load may result in implant failure.     

种植体直径和长度在Ⅰ类骨质中的优化选择

目的:应用Ansys DesignXplorer模块,研究圆柱形种植体直径和长度同时连续变化对Ⅰ类骨质的颌骨应力影响,为临床选择和设计种植体提供理论依据。方法:建立包含圆柱状种植体的下颌骨Ⅰ类骨质骨块的三维有限元模型,设定种植体直径(D)变化范围为3.0~5.0mm,种植体长度(L)变化范围为6.0~16.0mm,观察D和L变化对颌骨Von Mises应力峰值的影响。同时进行颌骨Von Mises应力峰值对变量的敏感度分析。结果:随着D和L的增加,垂直向加载时,皮、松质骨的EQV应力峰值分别降低了54.5%和70.2%,颊舌向加载时,皮、松质骨的EQV应力峰值分别降低了73.5%和75.1%;当D大于3.8mm同时L大于9.0mm时,应力峰值的响应曲线的切斜率位于-1和0之间;在垂直向加载和颊舌向加载时,变量D比L更易影响皮质骨的EQV应力峰值。结论:种植体的直径比长度更易影响皮质骨的应力大小。从生物力学角度而言,对于Ⅰ类骨质,在临床上选择种植体时,种植体的直径应不小于3.8mm,种植体的长度应不小于9.0mm。     

All-on-Four与穿颧种植在不同皮质骨厚度中的生物力学研究

目的：利用有限元分析法,比较在不同皮质骨厚度下后牙区垂直骨量严重不足的上颌无牙颌中All-on-Four与穿颧植体这两种不同种植设计中种植体、皮质骨的应力值与钛支架的变形量的差异,为临床种植方案的设计提供参考依据。 方法：选取一无牙颌上颌骨锥形束CT数据并利用其建立4个不同皮质骨厚度的模型,模型中还包括了种植体、基台、钛支架,在双侧后牙区施加200N垂直压力,计算出种植体、皮质骨的应力值及钛支架的变形量并进行统计分析。 结果：随着皮质骨厚度的增加,All-on-Four组与穿颧植体组中种植体、皮质骨应力值及钛支架变形量逐渐减小,在All-on-Four组中,当皮质骨厚度由0.5mm增加到1.5mm时,各数据降低明显,当皮质骨厚度由1.5mm增加到2mm时各数据变化较小,并且,当皮质骨厚度为1.5mm时,等效应力和变形量均达到一个较低的水平。在穿颧植体组中,随着皮质骨厚度的变化总体变化趋势均较小,穿颧植体组的种植体、皮质骨应力值及钛支架变形量均小于All-on-Four组,且5号位点皮质骨、2号位点皮质骨及钛支架变形量之间的差异有统计学意义（P<0.05）。 结论：对于后牙区垂直骨量严重不足的上颌无牙颌,皮质骨厚度的增加有利于减小种植修复的应力分布和钛支架的变形;当皮质骨厚度较小时（<1.5mm）,穿颧植体的种植方案是更为合适的选择;当皮质骨厚度较厚时（≥1.5mm）,虽然穿颧植体组中的数据表现较All-on-Four组好,但All-on-Four组中各数据已明显降低,此时,也可以考虑选择All-on-Four进行修复。     

种植体直径和长度在Ⅲ类骨质中的优化选择

目的应用Ansys DesignXplorer模块，分析圆柱形种植体直径和长度同时连续变化时对Ⅲ类骨质的颌骨应力的影响，为临床选择和设计种植体提供理论依据。方法建立包含圆柱状种植体的下颌骨Ⅲ类骨质的骨块三维有限元模型，设定种植体直径变化范围为3．0～5．0mm，种植体长度变化范围为6．0～16．0mm，观察直径和长度变化对颌骨Von Mises应力峰值的影响。同时进行颌骨Von Mises应力峰值对变量的敏感度分析。结果随着直径和长度的增加，垂直向加载时，皮、松质骨的EQV应力峰值分别降低了65．3％和76．8％；颊舌向加载时，皮、松质骨的VonMises应力峰值分别降低了76．1％和78．0％；当直径大于3．95mm，同时长度大于10．5mm时，应力峰值响应曲线的切斜率位于-1和0之间；在垂直向加载和颊舌向加载时，长度和直径分别对皮质骨EQV应力峰值的影响更明显。结论种植体直径增加更有利于改善颌骨颊舌向加载下的应力分布，种植体长度的增加更有利于改善颌骨垂直加载下的应力分布。从生物力学角度而言，对于m类骨质在临床上选择种植体时，种植体的直径应不小于3．95mm。种植体的长度应不小于10．5mm。     

Effect of diameter and length on stress distribution of the alveolar crest around immediate loading implants

Background: Many clinical observations have shown that immediate loading is indicated when the stabilization of the bone/implant is optimal and when the estimated loads are not excessively high. Nonetheless, more experimental studies are needed to consider the immediate loading protocol as a safe procedure. Mechanical analysis using the finite element (FE) method analysis has been employed by many authors to understand the biomechanical behavior around dental implants. Purpose: This study was to evaluate the effect of the diameter and length on the stress and strain distribution of the crestal bone around implants under immediate loading. Materials and Methods: By an ad hoc automatic mesh generator, high‐quality FE models of complete range mandible was constructed from computer tomography, with three Straumann (Straumann Institute, Waldenburg, Switzerland) implants of various sizes embedded in the anterior zone. The implant diameter ranged from 3.3 to 4.8 mm, and length ranged from 6 to 14 mm, resulting in seven designs. The implant–bone interface was simulated by nonlinear frictional contact algorithm. For each design, vertical and oblique loadings of 150 N were applied, respectively, to each implant, and stresses and strains in the surrounding cortical bone were evaluated. Results: The biomechanics analysis provided results that the oblique loading would induce significantly higher interfacial stresses and strains than the vertical loading, while the intergroup stress difference significant levels was evaluated using t‐tests method and the level of significance (.05) that was accepted for significance. Under both loadings, the maximal values were recorded in the 3.3 (diameter) × 10 (length) mm implant configuration, whose mean and peak values were both higher than that of others with significant statistical differences. The second maximal one is 4.1 × 6 mm configuration, and the minimal stresses were recorded in 4.8 × 10 mm configuration, whose strains were also near to lowest. Conclusions: Increasing the diameter and length of the implant decreased the stress and strain on the alveolar crest, and the stress and strain values notably increased under buccolingual loading as compared with vertical loading, but diameter had a more significant effect than length to relieve the crestal stress and strain concentration.     

单个种植体周围两种形状垂直骨吸收稳定期的骨内应力比较研究

目的:对单个种植体周围牙槽骨发生碟形和楔形垂直吸收并处于稳定期时的骨内应力变化状况,进行比较研究。方法:应用MSC-NASTRAN软件建立种植体周围不同形状、不同深度骨缺损的垂直骨吸收稳定期三维有限元模型,在垂直及斜向载荷下进行计算分析。结果:单个种植体周围牙槽骨发生少量垂直吸收后并处于稳定期时,随着骨缺损深度的增加,垂直载荷下骨内最大Von-Mises应力值有很小幅度的波动;斜向载荷下骨内最大Von-Mises应力值会增大,但幅度不大。同等骨缺损深度的碟形和楔形吸收的骨内应力情况相差较小。结论:在骨皮质保持完整及种植体不松动的情况下,种植体周围骨组织发生少量的垂直吸收时,骨内应力情况随缺损深度增加变化不大;而且相同条件下两种形状垂直骨吸收的骨内应力情况较相近。     

The biomechanical analysis of relative position between implant and alveolar bone: finite element method

Background: The purpose of this study is to analyze biomechanical interactions in the alveolar bone surrounding implants with smaller‐diameter abutments by changing position of the fixture–abutment interface, loading direction, and thickness of cortical bone using the finite element method. Methods: Twenty different finite element models including four types of cortical bone thickness (0.5, 1, 1.5, and 2 mm) and five implant positions relative to bone crest (subcrestal 1, implant shoulder 1 mm below bone crest; subcrestal 0.5, implant shoulder 0.5 mm below bone crest; at crestal implant shoulder even with bone crest; supracrestal 0.5, implant shoulder 0.5 mm above bone crest; and supracrestal 1, implant shoulder 1 mm above bone crest) were analyzed. All models were simulated under two different loading angles (0 and 45 degrees) relative to the long axis of the implant, respectively. The three factors of implant position, loading type, and thickness of cortical bone were computed for all models. Results: The results revealed that loading type and implant position were the main factors affecting the stress distribution in bone. The stress values of implants in the supracrestal 1 position were higher than all other implant positions. Additionally, compared with models under axial load, the stress values of models under off‐axis load increased significantly. Conclusions: Both loading type and implant position were crucial for stress distribution in bone. The supracrestal 1 implant position may not be ideal to avoid overloading the alveolar bone surrounding implants.     

Stress distribution in the single-unit osseointegrated dental implant: finite element analyses of axial and off-axial loading

Occlusal overload may contribute to the extensive crestal bone loss often noted around late-failure dental implants. A particularly high risk of traumatic overload occurs with the posterior single-unit implant restoration because the restoration itself is usually wider than the implant, creating the potential for a cantilever effect with high bending moments. The objective of this study was to evaluate the simulated effects of axial and off-axial vertical loads on stress gradients at the implant/bone interface of a single-unit osseointegrated root-form endosseous dental implant. A two-dimensional finite element model was generated. A 490-N load was applied at 0, 2, 4, and 6 mm from the vertical axis of the implant. Off-axis loading resulted in greatly increased compressive stresses within the crestal cortical bone on the side to which the load was applied and similarly increased tensile stresses on the side opposite the load. These stresses increased considerably with each mm increase off axis of the applied load. These data suggest that off-axis loading of single-unit implant restorations provides a significant contribution to increased stresses at the implant/cortical bone interface. The distance off axis at which the load is applied is also significant.     

Factors affecting stresses in cortical bone around miniscrew implants

Abstract Objective: To evaluate various types of stress in cortical bone around miniscrew implants using finite element analysis. Materials and Methods: Twenty-six three-dimensional assemblies of miniscrew models placed in alveolar bone blocks were constructed using Abaqus (Dassault Systèmes Simulia Corp, Providence, RI), a commercial finite element analysis software package. The model variables included implant design factors and bone-related factors. All miniscrew implants were loaded in the mesial direction with a linear force equal to 2 N. Peak von Mises and principal stress values in cortical bone were compared between the different models for each factor. Results: The results demonstrated that some factors affected the stresses in bone (implant diameter, implant head length, thread size, and elastic modulus of cancellous bone), while other factors did not (thread shape, thread pitch, and cortical bone thickness). Conclusions: Miniscrew implant diameter, head length, and thread size as well as the elastic modulus of cancellous bone affect the stresses in cortical bone layer surrounding the miniscrew implant and may therefore affect its stability.     

Tension More种植体骨界面的光弹应力分析

目的 研究不同锥度设计的Tension More（TM）种植体对种植体骨界面应力分布的影响。方法 医用纯钛制作5组种植体,分别为圆柱状螺纹种植体、上1/3 TM种植体（锥度长度为3 mm）、中1/2 TM种植体（锥度长度为5 mm）、下1/3 TM种植体（锥度长度为7 mm）、全长变化TM种植体（锥度长度为10 mm）。每组种植体各自包埋于由松质骨及1 mm皮质骨构成的复合光弹模型中,共建立5个复合光弹模型。每一模型先后分别予以垂直及斜向（45°）静态加载力。利用光弹应力分析法比较5组种植体骨界面的生物力学特征。结果 垂直加载下,上1/3 TM种植体、中1/2 TM种植体、下1/3 TM种植体比圆柱状螺纹种植体在皮质骨区及松质骨区的局部应力集中小;斜向加载下,4组TM种植体皮质骨区局部应力集中均低于圆柱状螺纹种植体。无论在垂直、斜向加载下,上1/3 TM种植体皮质骨区局部应力集中均最小。结论 合理锥度设计的TM种植体周围皮质骨、松质骨应力分布均匀合理,在不同载荷条件下,上1/3 TM种植体骨界面生物力学表现最优。