|Year : 2021 | Volume
| Issue : 1 | Page : 108
Evaluation of stress distribution of porous tantalum and solid titanium implant-assisted overdenture in the mandible: A finite element study
Ayshin Akbarzadeh1, Yasser Hemmati1, Fariba Saleh-Saber2
1 Department of Prosthodontics, Dental Faculty, Urmia University of Medical Science, Urmia, Iran
2 Department of Prosthodontics, Dental Faculty, Tabriz University of Medical Science, Tabriz, Iran
|Date of Submission||10-Jul-2019|
|Date of Acceptance||20-Jun-2021|
|Date of Web Publication||10-Dec-2021|
Dr. Yasser Hemmati
Department of Prosthodontics, Urmia Dental Faculty, Alborz AVE, Post Code: 5714783734, Urmia
Source of Support: None, Conflict of Interest: None
Aims: The present study aimed to evaluate the stress distribution of porous tantalum implant and titanium solid implant assisted overdenture (IAO) in mandibular bone by utilizing three-dimensional (3D) finite element (FE) analysis.
Materials and Methods: In this FE study, an existing cone-beam volumetric tomography scan of a patient without any maxillofacial anomaly with an available acceptable IAO for mandible was used to attain the compartments of a completely edentulous mandible. Zimmer trabecular implants and locator attachment systems were selected as the case group (Model B), and Zimmer Screw-Vent implants and locator attachment system were chosen for the control (Model A), as overdenture attachments in the present study. The mandibular overdenture was scanned and digitized as a FE model. Two 3D FE models were designed as edentulous lower jaws, each with four implants in the anterior section of the mandible. Three forms of loads were directed to the IAO in each model: Vertical loads on the left first molar vertical molar (VM). Vertical loads on the lower incisors (VI). Inclined force buccolingually applied at left first molar (IM).
Results: Under all loading conditions, the maximum strain values in peri-implant bone in Model A were less than Model B. Under VI, the greatest stress value around abutments in both models was about 2–3 times higher than the other loads. Under VM and IM loads, no significant difference was observed between models.
Conclusion: Using trabecular metal implants instead of solid implants reduces strain values around both cortical and trabecular bone.
Keywords: Dental implants, overdenture, porous, tantalum
|How to cite this article:|
Akbarzadeh A, Hemmati Y, Saleh-Saber F. Evaluation of stress distribution of porous tantalum and solid titanium implant-assisted overdenture in the mandible: A finite element study. Dent Res J 2021;18:108
|How to cite this URL:|
Akbarzadeh A, Hemmati Y, Saleh-Saber F. Evaluation of stress distribution of porous tantalum and solid titanium implant-assisted overdenture in the mandible: A finite element study. Dent Res J [serial online] 2021 [cited 2022 Jan 25];18:108. Available from: https://www.drjjournal.net/text.asp?2021/18/1/108/332102
| Introduction|| |
Edentulous patients with mandibular bone resorption deal with the problem of adjustment to mastication and report disappointment with their conventional full dentures regularly. Implant-assisted overdenture (IAO) is considered as one of these treatment options which can enhance prosthesis performance and patient's satisfaction and are implied when patients are dissatisfied with the stability and retention of their complete denture., The use of dental implants can offer alternative ways to improve the quality of the treatment for these patients. The problems with mandibular complete dentures deteriorate with the constant resorption of the residual bone. However, osseointegrated implants slow down bone reduction in the zone. In addition, the implant survival rate in IAO is not related to age, sex, and splinting, but the long-term results suggest that the number of implants can change the survival rate. Further, the success of implants relies on various factors such as basic characteristics of the implant itself including design, substance, and fabrication process. Regarding the design features, the general conformation of the implant affects the pattern of stress distribution into the surrounding bone, following its long-term success or failure. Bite strokes applied to dental implants can generate excessive stress in peripherals bone, which may lead to bone defects and consequent failure of implants. Therefore, it is essential to evaluate the quality and magnitude of these forces on implants and in the bone to explain the in vivo performance of these devices.
Nowadays, locator attachments have received a lot of attention, due to its self-alignment, satisfactory retention, and minimum height requirements. In addition, nonsplinting implant is necessary for locator attachment system and is shown to provide superior retention, compared to other stud attachments for overdentures, which can address an increased load to the implants., Locator system shows higher service repetition due to nylon high rate of distortion and deterioration. Therefore, the main problem for the locator system is related to its need for replacement in a reduced time frame, compared to other retentive systems.
Recently, dental implants have been introduced with porous tantalum parts. Porous tantalum metal is utilized to enhance the contact between bone and dental implants. In theory, this type of implant is more advantageous compared to standard titanium implants. For example, its elastic modulus (1.3–10 GPa) is more similar to that of cortical (12–18 GPa) and cancellous bone (0.1–0.5 GPa) is used in the structure of dental implants such as titanium and titanium alloy, compared to the most common materials (106–115 GPa), leading to a decrease in the stress shielding effects, which helps to preserve bone mineral density around implants. As reported in the study review conducted by Liu et al., porous tantalum presents a favorable operation potential to enhance the clinical function of dental implants.
Hypothetically, this porous tantalum trabecular metal™ added to conventional titanium implants may function as a helpful choice for patients with a less dense bone. The porous tantalum part of the implant permits rapid endothelial growth and proliferation through the trabecular structure, which is critical to allow for osteoblast precursor enrollment, osteoblastic cell differentiation, and matrix secretion. Lee et al. placed conventional solid titanium and porous tantalum implants bilaterally into mandibular extraction sockets in dogs, and the results indicated no significant difference between implant stability in two groups. Interim results of a 3-year study on immediate loading of reticular tantalum implants presented a 100% survival rate after 1 year of clinical follow-up.
Finite element analysis (FEA) is considered a method for finding a solution to a multifaceted mechanical problem by separating the problem domain into a pool of more modest domains. Such a structural analysis permits the visualization of stress and strain subsequent from an external force, load, thermal alternation, and other factors. Due to the large complicacy of the conformation of the implant-bone structure, FEA is presented as the most suitable tool for studying this system.
The application of porous tantalum implants has been emphasized due to the benefits of IAO in edentulous patients, as well as the problems and challenges related to the success of titanium implants for treating patients with poor bone quality. However, the data are not enough regarding the behavior and function of these implants. Thus, further studies should be conducted for a better understanding of the mechanical properties among these types of implants. Therefore, the present study aimed to evaluate the stress distribution of tantalum porous implant and titanium solid IAO in mandibular bone by utilizing three-dimensional (3D) FEA.
Materials and Methods
In this FE study, an existing cone-beam volumetric tomography (CBVT) scan of a patient without any maxillofacial anomaly and average craniofacial proportions with an available acceptable IAO for mandible was used to attain the compartments of a completely edentulous mandible. Then, the CBVT scanning files were imported into Mimics10.0 (Materialise, Leuven, Belgium).
Zimmer trabecular implants (Zimmer Dental trabecular metal implant, TMM4B10, 4.1 mm × 10 mm, Zimmer Dental, Carlsbad, USA) and locator attachment systems (LOCATOR abutment, TLOC3/4, 3.5 mm × 4.1 mm, Zimmer Dental, Carlsbad, USA) were selected as the case group, and Zimmer Screw-Vent implants (Zimmer tapered Screw-Vent implant, TSVM4B10, 4.1 mm × 10 mm, Zimmer Dental, Carlsbad, USA) and locator attachment system (LOCATOR abutment, TLOC3/4, 3.5 mm × 4.1 mm, Zimmer Dental, Carlsbad, USA) were chosen for the control, as overdenture attachments in the present study. The size of the implants and their attachments for both models was 4.1 mm × 10 mm and 3.5 mm × 4.1 mm (width × length), respectively. The reticular part of the porous tantalum implant was designed as a 0.75-mm-thick layer with 4.5 mm height starting 2 mm apart from the implant bottom. This layer was supposed to be isotropic and homogenous such as the cancellous bone. The elastic modulus of the porous tantalum layer was considered as 3000 MPa average, regarding the Zimmer trabecular metal TM manufacturing process which is chemical vapor infiltration-chemical vapor deposition.
The implant-abutment complex was digitized using the Optical digitizing system ATOS II (GOM, Braun-Schweig, Germany). The mandibular overdenture was scanned and modeled as a wax rim with a denture base omitting the teeth to make the FE model simpler, as the 3D geometries of the lower jaw bone and prosthetic units were modeled in SolidWorks 2015 (Solidworks Corporation, MA, USA).,,
In addition, Abaqus 6.9 (Dassault Systems Simulia Corp, Providence, RI, USA) was used to mesh the structures of the lower jaw, overdenture, implant, and locator systems. Two 3D FE models were designed as edentulous lower jaws, each with four implants in the anterior section of the mandible in the interforaminal region to retain an overdenture. The implants were vertically placed and distributed between mental foramina at least 5 mm mesial to the mental foramen, and 10 mm distance to each other.,,, To conduct the study, two models were used. The overdenture is assisted by four porous tantalum implants in Model A, whereas the overdenture was supported by four titanium implants in Model B.
The models were meshed with 3D four-node tetrahedron elements. The overall numbers of elements and nodes in Model A are 192,409 and 272,478, and in Model B are 170,470 and 242,201, respectively [Table 1]. A refined mesh was generated in the inter foraminal region to reproduce the complex strain distribution observed in the peri-implant bone [Figure 1].
|Figure 1: (a) solid fixture; (b) trabecular fixture; (c) fixtures inserted in mandibular bone; (d and e) finite element models of locator attachment overdenture supported by solid and trabecular metal implant.|
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The edentulous jaw was united a 2 mm continuous cortical bone layer around a cancellous bone core with D2 (Hounsfield number of 850–1250) density, covered by a 1 mm-thick mucosa. The locator attachment system included abutment, nylon replacement male, and titanium cap. The abutment and cap were made of Ti6Al4V titanium alloy, as it is the case for the implant. The material properties of the cortical and cancellous bone, mucosa, and prosthetic units were determined from the amounts obtained from the literature [Table 2]. All materials were assumed to be isotropic, homogeneous, and linearly elastic.,,,,,
Implants were considered entirely as osseointegrated. Thus, a mechanically flawless boundary was supposed to be between implant and bone. However, the boundary between the overdenture and the mucosa was not immobile while functioning. Instead, the overdenture was able to rotate and slide on the mucosa in various directions. To mimic this dislodgment, we assumed that sliding friction existed between the overdenture and mucosa. The coefficient of sliding friction between the overdenture and mucosa was set as 0.334. The models were restrained at the nodes on the mesial and distal bone in all degrees of freedom. In addition, the interfaces between other parts including the locator attachment system, implant, and overdenture were set as fixed.
Three forms of load were directed to the overdenture in each model to mimic functional loading as follows:
- 100 N vertical loads on the left first molar (VM)
- 100 N vertical loads on the lower incisors (VI)
- 100 N, 45° angled force buccolingually applied at the center of the left first molar (IM).
| Results|| |
Strain distribution in peri-implant cortical bone
[Table 3] indicates the maximum strain in the cortical and trabecular bone around the implants in each model subjected to three forms of load. [Figure 1], [Figure 2], [Figure 3] illustrate the strain distribution in the peri-implant cortical and trabecular bone in each model subjected to three loading conditions. Under all loading conditions, the maximum strain values in both cortical and trabecular bone were <2500 μ in each model, except for cortical bone under IM load. In both models, the peak strain values in the cortical and trabecular bone under IM load were higher than those in the other loads. Further, the maximum strain values in the peri-implant bone around trabecular metal implants were less than the solid implants under all three loading conditions [Figure 2], [Figure 3], [Figure 4]. When models were loaded on the incisors, the peak strain values in the cortical bone concentrated around two mesial implants [Figure 2]. In both models, the maximum strain values in the cortical and trabecular bone under VM and IM loads concentrated on the distal side of the distal implant [Figure 3] and [Figure 4].
|Table 3: Maximum strains in the peri-implant bone under three loading conditions (με)|
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|Figure 2: Strain distribution in the bone under VI loading condition. (a) Model A; (b) Model B. Colors indicate the level of strain from dark blue (lowest) to red (highest). The arrows show the sites with peak strain values.|
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|Figure 3: Strain distribution in the cortical bone under VM loading condition. (a) Model A; (b) Model B. Colors indicate the level of strain from dark blue (lowest) to red (highest). The arrows show the sites with peak strain values.|
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|Figure 4: Strain distribution in the cortical bone under IM loading condition. (a) Model A; (b) Model B. Colors indicate the level of strain from dark blue (lowest) to red (highest). The arrows show the sites with peak strain values.|
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Stress in abutments
The maximum stress values in the abutments subjected to three loading conditions in each model are shown in [Table 4]. As shown, the greatest stress value in both models was about 2–3 times higher than the other loads under VI and was positioned on the labial aspect of the border between the abutment and the nylon replacement. Under all load conditions, maximum stress values on model B abutments were significantly less than Model A abutments.
|Table 4: Maximum stresses in abutments under three loading conditions (MPa)|
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Pressure on the mucosa
[Table 5] indicate the maximum pressure on mucosa under three loading conditions in each model. In both models, the maximum pressure on the mucosa under IM load was greater than that of other loads. The peak pressure in IM load was approximately three times higher than the VM load and was concentrated between the lateral side of the posterior alveolar ridge and the denture [Figure 5] and [Figure 6].
|Table 5: Maximum pressure on mucosa under three loading conditions (MPa)|
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|Figure 5: Pressure distribution on the mucosa of Model A under a VI (a), VM (b), IM (c) load (the cold tone describes the area - where contact with the denture was close and tight, while the warm tone presents the area where the denture is tilted and detached from the mucosa).|
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|Figure 6: Pressure distribution on the mucosa of Model B under the VI (a), VM (b), IM (c) load (the cold tone describes the area where contact with the denture was close and tight, while the warm tone presents the area where the denture tilted and separated from the mucosa).|
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Under VM and IM loads, no significant difference was observed between models, but the pressure on the mucosa was higher in Model B under VI load.
The present study aimed to decide on the ideal implant design to support an overdenture in various loading conditions. Based on the results, the loading site was the most important parameter affecting the stress distribution in the whole system. Further, the inclined load on molar teeth induced higher stress levels on the cortical bone around the closest implant to the load site in both models, while vertical loads on the first molar tooth produced the lowest stress. Liu et al. and Chang et al. reported similar results in their studies.,,,,,,,,,
The FEA result biologically revealed acceptable strain values in the bone surrounding the implants subjected to VI and VM loading conditions given that the mentioned value is below the biological resistance limits of bone, which is 2500 με. However, when the models were subjected to IM loading conditions, a pathologic strain value around cortical bone was evident which may cause micromovements at the bone-implant interface, leading to the occurrence of marginal bone loss. Jingyin et al. reported that the maximum strain value in the peri-implant bone under IM loading conditions was lower than 2500 με. This controversy is probably caused by different jaw model designs and its effect on implant position. Further, changing the implant type to trabecular metal implant reduces the strain rate around both cortical and trabecular bone, especially under VM loading. Hence, it is recommended to use the trabecular implant to enhance IAOs success and survival rate by reducing marginal bone loss.
Assessing the maximum stresses on the cortical and cancellous bone units revealed that greatest von Mises stresses on the cortical bone segments were much higher than the von Mises stresses on the cancellous bone segment. It means that the cortical bone segment provides superior support for the implant than the trabecular segment. Due to the tight contact between the cortical bone and implant, the loading applied to the implant is mostly transmitted into the thin cortical bone layer, which explains the clinical marginal bone loss around the implants. However, the results of the present study indicated that trabecular implants can help a better stress distribution between cortical and trabecular bone and can be a promising alternative for improved implant survival rate due to their low elastic modulus.
As described in the study of Topkaya and Solmaz, the stresses in the bone around the implants were found to be higher than the stresses measured on the jawbone. This could be explained by the high elastic modulus of the Ti6Al4V implant material, compared to the cortical and trabecular bone, which may decrease the elastic modulus of the trabecular metal implants leading to better stress distribution at the implant periphery.
In addition, under VI, which simulated the act of cutting food with anterior teeth, the largest stress value in the abutments in both models was 2–3 times higher than those in the other three models, indicating that possible damage to the abutments may happen more easily subjected to VI load. In this study, a significant reduction of stress was observed on the abutments connected to trabecular implants compared to the abutments connected to solid implants, leading to lesser maintenance frequency and prolonged abutment complex service life. The results of VI stress values in the study of Liu et al. are consistent with those in the present study, although it was higher under IM and VM load, which may be related to the result of differences in overdenture design and implant position between two the studies.
In previous studies, the boundary between the denture and the mucosa was supposed to be immobile for simplifying modeling and computations. However, in the present study, it was assumed that sliding friction is available between the denture and the mucosa. Further, the model of overdenture in this study could rotate and glide on the mucosa in different directions when functioning, which resulted in mimicking actual denture movements in regular use more precisely. Further, the results of the present study indicated that the contralateral side may bear less stress values than the loaded side when the model is subjected to posterior loads.
Based on the results, the largest pressure on the mucosa was recorded under IM loading conditions at the lateral side of the posterior region in both models. The second maximum pressure on the mucosa occurred under VI loading, due to the rotation of overdenture on the labial aspect of the mandibular ridge. In this regard, the results are in line with the study of Liu et al. Except for VI load, the change in the implant type made no difference in pressure on the mucosa. The largest pressure on mucosa under VI load was higher in Model B.
The FE models designed for the present study allows for representing a more comprehensive and complex geometry. On the other hand, the innate limitations of the FEA considering strain distribution should be highlighted. The used models were different from a clinical state in many aspects. All of the constructions in the models were supposed to be homogeneous, isotropic, and linearly elastic although the cortical bone of the mandible is a transversely isotropic and inhomogeneous material. Further, a 100% implant/bone contact was created, which is inconsistent with clinical circumstances. Therefore, the FEA results of such conditions should be explained more meticulously. The certain values of different strains obtained in the present study are of little importance, whereas the relative values of different strains for different implant designs and load conditions are considered as the most important parts. Therefore, it is recommended to implement the results of this study as a reference to choose between different implant designs in the clinical treatment. Future clinical studies are essential for confirming the results.
| Conclusion|| |
Based on the results, the following conclusions were made:
- First, applying trabecular metal implant instead of solid implants reduced strain values around the both cortical and trabecular bone
- Second, IM load-induced greater stress values in peri-implant bone in both models
- Third, stress concentration on locator attached to reticular implant was significantly less than locator attachment on solid implants.
Finally, no significant difference was observed in pressure on the mucosa between trabecular and solid implants.
This study was conducted based on a grant from the Tabriz University of Medical Science. The authors declare no conflict(s) of interest related to the publication of this study.
Financial support and sponsorship
This study was conducted based on a grant from Tabriz University of Medical Science.
Conflicts of interest
The authors of this manuscript declare that they have no conflicts of interest, real or perceived, financial or non-financial in this article.
| References|| |
de Liz Pocztaruk R, da Fontoura Frasca LC, Rivaldo EG, Mattia PR, Vidal RA, Fernandes E, et al.
Satisfaction level and masticatory capacity in edentulous patients with conventional dentures and implant-retained overdentures. Braz J Oral Sci 2016;5:1232-8.
Barão VA, Delben JA, Lima J, Cabral T, Assunção WG. Comparison of different designs of implant-retained overdentures and fixed full-arch implant-supported prosthesis on stress distribution in edentulous mandible – A computed tomography-based three-dimensional finite element analysis. J Biomech 2013;46:1312-20.
Boven GC, Raghoebar GM, Vissink A, Meijer HJ. Improving masticatory performance, bite force, nutritional state and patient's satisfaction with implant overdentures: A systematic review of the literature. J Oral Rehabil 2015;42:220-33.
Doundoulakis JH, Eckert SE, Lindquist CC, Jeffcoat MK. The implant-supported overdenture as an alternative to the complete mandibular denture. J Am Dent Assoc 2003;134:1455-8.
Li K, Xin H, Zhao Y, Zhang Z, Wu Y. Remodeling of the mandibular bone induced by overdentures supported by different numbers of implants. J Biomech Eng 2016;138:051003.
Balaguer J, Ata-Ali J, Peñarrocha-Oltra D, García B, Peñarrocha-Diago M. Long-term survival rates of implants supporting overdentures. J Oral Implantol 2015;41:173-7.
Bahrami B, Shahrbaf S, Mirzakouchaki B, Ghalichi F, Ashtiani M, Martin N. Effect of surface treatment on stress distribution in immediately loaded dental implants – A 3D finite element analysis. Dent Mater 2014;30:e89-97.
Himmlová L, Dostálová T, Kácovský A, Konvicková S. Influence of implant length and diameter on stress distribution: A finite element analysis. J Prosthet Dent 2004;91:20-5.
Sahin S, Cehreli MC, Yalçin E. The influence of functional forces on the biomechanics of implant-supported prostheses – A review. J Dent 2002;30:271-82.
Uludag B, Polat S, Sahin V, Çomut AA. Effects of implant angulations and attachment configurations on the retentive forces of locator attachment-retained overdentures. Int J Oral Maxillofac Implants 2014;29:1053-7.
Miler AM, Correia AR, de Castro Rocha JM, Campos JC, da Silva MH. Locator®
attachment system for implant overdentures: A systematic review. Stomatologija 2017;19:124-9.
Liu Y, Bao C, Wismeijer D, Wu G. The physicochemical/biological properties of porous tantalum and the potential surface modification techniques to improve its clinical application in dental implantology. Mater Sci Eng C Mater Biol Appl 2015;49:323-9.
Bencharit S, Byrd WC, Altarawneh S, Hosseini B, Leong A, Reside G, et al.
Development and applications of porous tantalum trabecular metal-enhanced titanium dental implants. Clin Implant Dent Relat Res 2014;16:817-26.
Romanos GE, Delgado-Ruiz RA, Sacks D, Calvo-Guirado JL. Influence of the implant diameter and bone quality on the primary stability of porous tantalum trabecular metal dental implants: An in vitro
biomechanical study. Clin Oral Implants Res 2018;29:649-55.
Piotrowski B, Baptista AA, Patoor E, Bravetti P, Eberhardt A, Laheurte P. Interaction of bone-dental implant with new ultra low modulus alloy using a numerical approach. Mater Sci Eng C Mater Biol Appl 2014;38:151-60.
Lee JW, Wen HB, Battula S, Akella R, Collins M, Romanos GE. Outcome after placement of tantalum porous engineered dental implants in fresh extraction sockets: A canine study. Int J Oral Maxillofac Implants 2015;30:134-42.
Schlee M, Schoor WP, Schoor AR. Immediate loading of trabecular metal-enhanced titanium dental implants: Interim results from an international proof-of-principle study. Clin Implant Dent Relat Res 2015;17:e308-20.
Geng JP, Tan KB, Liu GR. Application of finite element analysis in implant dentistry: A review of the literature. J Prosthet Dent 2001;85:585-98.
Wakabayashi N, Ona M, Suzuki T, Igarashi Y. Nonlinear finite element analyses: Advances and challenges in dental applications. J Dent 2008;36:463-71.
Liu J, Pan S, Dong J, Mo Z, Fan Y, Feng H. Influence of implant number on the biomechanical behaviour of mandibular implant-retained/supported overdentures: A three-dimensional finite element analysis. J Dent 2013;41:241-9.
Topkaya T, Solmaz MY. The effect of implant number and position on the stress behavior of mandibular implant retained overdentures: A three-dimensional finite element analysis. J Biomech 2015;48:2102-9.
Arat Bilhan S, Baykasoglu C, Bilhan H, Kutay O, Mugan A. Effect of attachment types and number of implants supporting mandibular overdentures on stress distribution: A computed tomography-based 3D finite element analysis. J Biomech 2015;48:130-7.
Misch CE. Dental Implant Prosthetics. 2nd
ed. Missouri: Elsevier Health Sciences; 2014. p. 245.
Sevimay M, Turhan F, Kiliçarslan MA, Eskitascioglu G. Three-dimensional finite element analysis of the effect of different bone quality on stress distribution in an implant-supported crown. J Prosthet Dent 2005;93:227-34.
Barbier L, Sloten JV, Krzesinski G, Van Der Perre ES. Finite element analysis of non-axial versus axial loading of oral implants in the mandible of the dog. J Oral Rehabil 1998;25:847-58.
Sertgöz A, Güvener S. Finite element analysis of the effect of cantilever and implant length on stress distribution in an implant-supported fixed prosthesis. J Prosthet Dent 1996;76:165-9.
Menicucci G, Lorenzetti M, Pera P, Preti G. Mandibular implant-retained overdenture: Finite element analysis of two anchorage systems. Int J Oral Maxillofac Implants 1998;13:369-76.
Brunski JB, Puleo DA, Nanci A. Biomaterials and biomechanics of oral and maxillofacial implants: Current status and future developments. Int J Oral Maxillofac Implants 2000;15:15-46.
Barão VA, Assunção WG, Tabata LF, de Sousa EA, Rocha EP. Effect of different mucosa thickness and resiliency on stress distribution of implant-retained overdentures-2D FEA. Comput Methods Programs Biomed 2008;92:213-23.
Chang SH, Huang SR, Huang SF, Lin CL. Mechanical response comparison in an implant overdenture retained by ball attachments on conventional regular and mini dental implants: A finite element analysis. Comput Methods Biomech Biomed Engin 2016;19:911-21.
[Figure 1], [Figure 2], [Figure 3], [Figure 4], [Figure 5], [Figure 6]
[Table 1], [Table 2], [Table 3], [Table 4], [Table 5]