Open-access CAD-FEA modeling and fracture resistance of bilayer zirconia crowns manufactured by the rapid layer technology

Abstract

In the RLT (Rapid Layer Technology), veneering ceramic and framework are fabricated by computer-aided design/computer-aided manufacturing (CAD/CAM) and then cemented to obtain the restoration. This study aimed to evaluate the effect of the thickness of veneering ceramic manufactured by the RLT technique on the fracture resistance (FR) of bilayer crowns with zirconia frameworks. Twenty zirconia frameworks and twenty feldspathic posterior crowns with two different veneering ceramic occlusal thicknesses (1mm=TF1; 2mm=TF2) were manufactured using CAD/CAM system. The specimens were luted to an epoxy resin abutment with resin cement and mechanically cycled (200N and 4.5×105 Pa, 37°C, 2×106 cycles, 3Hz). The FR test was performed (10kN, 0.5mm/min), and the specimens were analyzed in a stereomicroscope. For the stress analysis (finite element analysis, FEA), a 10kN load was equal to the in vitro test, and the principal stress was evaluated. The FR data were analyzed by Student’s t-test and Weibull's analysis. The thickness influenced the FR of bilayer crowns. The FR was higher in the TF2 than in the TF1 group. The TF2 group presented the highest characteristic strength compared to the group TF1. The predominant type of failure was delamination. The FEA showed higher stress concentrations below the loading application point at the veneering cement interface in the 1-mm-thick model. The bilayer crowns manufactured using the approach of 2mm of veneering ceramic promoted higher FR compared to the group with 1mm veneering ceramic. Also, the FEA showed that the veneer ceramic thickness has an effect on stress distribution in zirconia-based bilayer crowns.

Key Words: zirconia; porcelain; ceramic; finite element analysis

Resumo

Na RLT (Rapid Layer Technology), a cerâmica de cobertura e infraestrutura são fabricados pelo Computer-Aided Design / Computer-Aided Manufacturing (CAD / CAM) e cimentados para obter a restauração. Este estudo teve como objetivo avaliar o efeito da espessura da cerâmica de cobertura fabricada pela técnica RLT na resistência à fratura (RF) de coroas bilaminadas com infraestrutura de zircônia. Vinte infraestruturas de zircônia e vinte coroas posteriores feldspáticas com duas espessuras oclusais da cerâmica de cobertura (1mm = TF1; 2mm = TF2) foram fabricadas usando o sistema CAD / CAM. Os espécimes foram cimentados em preparos de resina epóxi com cimento resinoso dual e ciclados mecanicamente (200N e 4,5×105 Pa, 37° C, 2×106 ciclos, 3Hz). O teste de RF foi realizado (10kN, 0,5mm / min) e, posteriormente, os espécimes foram analisados em estereomicroscópio. Para a análise de tensão (análise de elementos finitos, FEA), uma carga de 10kN foi aplicada igual ao teste in vitro, e a tensão principal foi avaliada. Os dados de RF foram analisados pelo teste t de Student e análise de Weibull. A espessura mostrou forte influência na RF das coroas bilaminadas. A RF foi maior em TF2 do que no grupo TF1. O grupo TF2 apresentou a maior resistência característica em relação ao grupo TF1. O tipo de falha predominante foi a delaminação. O FEA mostrou maiores concentrações de tensões abaixo do ponto de aplicação da carga, na interface cimento e cerâmica de cobertura no modelo de coroa de 1 mm de espessura. As coroas de bilaminadas confeccionadas com 2 mm de cerâmica de cobertura promoveram maior RF em comparação ao grupo com cerâmica de cobertura de 1 mm. Além disso, a FEA mostrou que a espessura da cerâmica de cobertura tem um efeito na distribuição de tensões em coroas bilaminadas à base de zircônia.

Introduction

The evolution of computer-aided design/computer-aided manufacturing (CAD/CAM) technology have greatly promoted advances to the oral rehabilitation, in this way enabling and ensuring a faster workflow 1. Also, the manufacturing of indirect restorations from ceramic blocks and or discs that display less internal defects (flaws) may improve the mechanical strength of the restoration itself 2. CAD/CAM systems are able to manufacture several types of indirect ceramic restorations, ranging from delicate and smaller partial restorations such as ultra-thin ceramic veneers 3 to full coverage restorations such as crowns, which can be manufactured either as bilayer (with a framework and veneering ceramic) or monolithic (single structure) 4.

Bilayer ceramic crowns were the first metal-free crown option to be introduced in the oral rehabilitation as well as they have been widely studied in the literature 5. One of the advantages of the bilayer crowns is their capacity to mask dark substrates when comparing to the monolithic crowns 6. Previous clinical studies in which the performance of bilayer ceramic crowns were evaluated have estimated a survival rate ranging from 67.2% after 10 years 7 to 97.73% after 5 years 8. The delamination and chipping of veneering ceramic crowns are the major cause of failure of this type of restoration 6,7,8. Nonetheless, this issue can be related to several factors, such as the shape and thickness of the veneering ceramic and framework 9,10, ceramics application techniques 11, and the residual thermal stress 12.

Among these factors, the residual thermal stress is caused by the incompatibility between the coefficients of thermal expansion of the veneering ceramic and the framework 13, as well as by the presence of thermal gradients on the veneering ceramic originated during the cooling after the firing steps 14 which is performed in the conventional techniques (hand-layering and pressing). The use of CAD/CAM technology to manufacture veneering ceramic crowns have been proposed to prevent residual thermal stress accumulation 15. Out of the CAD/CAM techniques, one may point out the Rapid Layer Technology (RLT) preparation technique, in which the zirconia frameworks and veneering ceramics can be prepared from a single scan of the preparation.

In this technique, the manufacturing process of restoration begins with a scan of the clinical situation of the patient utilizing a three-dimensional scanner. Furthermore, the CAD equipment draws the framework and the veneering ceramic with the anatomical shape of the final prosthetic restoration of the patient, and subsequently mills the framework and the veneering ceramic from prefabricated blocks of specific materials. Afterwards, the veneering ceramic is cemented to the framework and the final restoration is thus obtained. Previous studies have reported promising results regarding the mechanical properties and stability of crowns using veneering ceramic manufactured by RLT technique 15,16,17.

The residual thermal stress is also influenced by the thickness of the veneering ceramic because the thickness appeared to be associated with the residual stress accumulated during the cooling step 18. Hence, increasing the thickness of the veneering ceramic can slow down the cooling rate internally, generating non-uniform temperature gradients across the ceramic material and, thus, reducing the fracture resistance of the restoration 9. Previous studies have reported that bilayer samples and crowns with greater thickness of the veneering ceramic, as well as with lower framework and or veneer thickness ratio, have presented lower rates of mechanical strength 10,19,20.

Consequently, taking into consideration the limited information regarding the RLT technique and the variation of thickness of veneering ceramic, this study aimed to evaluate the effect of the veneering ceramic thickness manufactured by the RLT technique on the fracture resistance of mechanically aged bilayer crowns with zirconia frameworks.

Materials and methods

Table 1 shows details on the brand, manufacturers, chemical composition, and batch number of the materials utilized in this study.

Table 1
Commercial name, manufacturers, chemical composition, and batch number of materials used in this study.

Anatomical preparations (G10)

To simulate an anatomical preparation corresponding to the human first mandibular molar, a drawing was performed (6 mm height; end chamfered 1.2 mm) in a 3D modeling program (Rhinoceros 4.0, Seattle, WA, USA). Afterwards, the 3D design modeling data was sent to a milling unit (Zenotech mini milling machine, Wieland Dental + Technik GmbH & Co. KG), and 20 preparations were designed from raw materials such as epoxy resin reinforced by glass fiber (NEMA grade G-10, International Paper, Hampton, VA, USA), which has mechanical properties similar to those of dentin 21.

Zirconia frameworks preparations

A G10 preparation was scanned by a digital inEos Blue scanner (Sirona Dental Systems, Bensheim, Germany) connected with the 3.88 InLab software (Sirona Dental Systems) utilized to generate a three-dimensional image of the framework. Posteriorly, pre-sintered blocks of tetragonal-zirconia partially stabilized by yttrium oxide (3Y-TZP, Vita In-Ceram YZ, Vita Zahnfabrik, Bad Säckingen, Germany) were milled (CEREC MC XL InLab, Sirona Dental Systems) to obtain 20 identical zirconia frameworks with 1-mm-thick occlusal surfaces. The frameworks were immersed in coloring liquid (LL1, Vita Zahnfabrik) for 2 minutes and sintered following the recommendations of the manufacturer (VITA T ZYrcomat, Vita Zahnfabrik).

Obtaining the veneering ceramics

One sintered-zirconia framework was placed on the G10 anatomical preparation, and a new scan was performed to obtain the drawing of the veneering ceramics. The veneering ceramics (VITABLOCS TriLuxe Forte TF-14, Vita Zahnfabrik) were milled (CEREC MC XL InLab, Sirona Dental Systems) according to the two levels of thicknesses utilized in this study (veneering ceramics thickness):

1 mm thickness on the major groove of the occlusal surface (TF1 group; n=10);

2 mm thickness on the major groove of the occlusal surface (TF2 group; n=10).

A layer of glaze (Vita Akzent, Vita Zahnfabrik) was applied and sintered over all the veneering ceramic according to the recommendations of the manufacturers (Vita VACUMAT 6000MP, Vita Zahnfabrik).

Cementing the veneering ceramics to the zirconia frameworks

The external surfaces of zirconia frameworks were sandblasted with 50-μm aluminum oxide (Asfer Chemical Ltda, São Caetano do Sul, Brazil) with a pressure of 2.5×105 Pa, 15 mm of distance, and for 10 seconds. The inner surfaces of the ceramics were etched using 5% hydrofluoric acid gel (5% Formula and Action, São Paulo, Brazil) for 60 seconds and afterwards rinsed with water and dried out with air jets. Subsequently, the silane coupling agent (Clearfil SE Bond Primer and Porcelain Bond Activator Clearfil, Kuraray Noritake Dental, Tokyo, Japan) was applied using a microbrush to the etched surfaces and let it to evaporate for 60 seconds. The paste A and B of the dual-resin cement Panavia F (Kuraray Noritake Dental) were mixed and applied to the inner surface of the veneering ceramic according to the instructions of the manufacturers. Following next, this ceramic was smoothly pressed over the zirconia framework with uniform and constant pressure. Excess cement was removed before the final setting, and each side of the crown was light-cured for 40 seconds (1200 mW/cm2, Radii-Cal, SDI Limited, Victoria, Australia).

Cementing the crowns to the G10 anatomical preparations

The G10 anatomical preparations were etched with 5% hydrofluoric acid gel for 60 seconds, and afterwards washed with a spray of air and or water for 30 seconds. The silane agent (Clearfil SE Bond Primer and Clearfil Porcelain Bond Activator, Kuraray Noritake Dental) was applied and let it evaporate, following the application of ED Primer (Kuraray Noritake Dental) to the anatomical preparations. Next, the resin cement (Panavia F, Kuraray Noritake Dental) was applied to the inner surfaces of the zirconia frameworks, and the crown was placed with light-hand pressure on the G10 anatomical preparation. Then, a 750 grams load was applied over the restoration itself. After the removal of excess cement, the preparation was light-cured during 40 seconds on each side of the crown. Finally, the samples were immersed in distilled water and stored in a bacteriological oven (Orion 502, Fanem, São Paulo, Brazil) at temperature of 37°C over a period of 24 hours.

Mechanical cycling

All the samples (20 crowns) were mechanically cycled (11000 Erios, Erios Technical and Scientific Equipment Ltd., São Paulo, Brazil) with a maximum load of 200 N (pressure 4.5×105 Pa) in distilled water at 37°C utilizing a stainless steel piston with a ballpoint of 6 mm diameter, for 2×106 cycles, and at a frequency of 3 Hz. Every crown was checked for any sort of damage before and after the mechanical cycling.

Fracture resistance

All samples were tested for fracture resistance. In this procedure, each sample was fixed on the testing machine (EMIC DL 1000, São José dos Pinhais, Brazil) with the help of the load applicator tip (a ballpoint of 6 mm diameter) pointed at the center of the major groove on the occlusal surface. The compression test was conducted with a load cell of 10 kN (0.5 mm/min) and was stopped at the first sign of fracture using the sound technique together with changes in the graphic presentation of the load-displacement curve 9.

Failure mode analysis and Fractography

The failures of the crowns were evaluated with the aid of a stereomicroscope (70x, Discovery V20, Zeiss, Germany), and were classified as following: crack, chipping, delamination, and catastrophic. Also, the extent of failures was checked and classified according to Burke’s classification 22. The fragments of representative specimens were analyzed for better visualization of the fractography characteristics and to determine the origin of the failure using a Scanning Electron Microscopy (SEM) (Inspect S50, FEI Company, Brno, Czech Republic) 21.

Finite element analysis (FEA)

Two specimens (G10 preparation, resin cement, framework, and veneering ceramics) were modeled with Rhinoceros software (version 4.0 SR8, McNeel North America, Seattle, WA, USA) to simulate the different thicknesses of veneering ceramics in the conditions described previously. The interface resin cement-/G10 was suppressed because their thin layer would increase the number of elements without promoting different results. Both models were imported as files into Ansys software (ANSYS 13.0, ANSYS Inc., Houston, Texas, USA). All materials were considered homogenous, linearly elastic, and isotropic for the structural mechanical analysis. The mechanical properties assigned to these materials are summarized in Table 2.

Table 2
Mechanical properties of the materials: modulus of elasticity (in GPa) and Poisson’s ratio, according to published data.

The geometric contacts were considered perfectly bonded. The mesh had a slow-transition among the geometries and the element used was 10-node tetrahedral, with the element size was 0.3 mm for all models except the base that was optimized nearby the interface with G10 where applied 50% of relevance for G10. Movements of the base were constrained in all directions, and a 10 kN load was applied in the center of the crowns, distributed equally in three points as shown in the compressed area in Figure 1. A linear static structural analysis was performed for observation of the stress distribution in the frameworks, veneering ceramics, and resin cement layers. The von Mises stresses criteria were used for observation of the coherence of the results. The maximum principal stresses (MPS) criteria were used for the analysis of the tensile stress concentration since the materials studied exhibited brittle behavior.

Figure 1
The geometry of components of two tested models. (A) The geometry of the preparation in G10. (B) Design of the Y-TZP framework. (C) Cement layer between the crown and the framework. (D) Veneer crown with 1-mm-thick coating. (E) Veneer crown with 2-mm-thick coating

Prior to the statistical analyses, the distribution of the data obtained on fracture resistance test was assessed by the Shapiro-Wilk’s test and homogeneity by the Levene’s test. The results indicated normal distribution and equality of variances (p > 0.05). The “Open Source Epidemiologic Statistics for Public Health” website (www.openepi.com) was used to calculate the sample power of the study. The maximum force of fracture resistance (N) data was subjected to the Student’s t-test (p < 0.05). The program STATISTIX (Analytical Software Inc., version 8.0, 2003) was used to performed the statistical analysis (level of significance of 5%).

Additionally, to evaluate the reliability of the results obtained, the Weibull analysis was performed using the Weibull modulus (m), the characteristic strength (σ0), under confidence interval of 95%. The Weibull analysis was performed using the Minitab Software (v.17, 2013, State College, PA, USA).

Results

The power of sample rate was 99.98%. Any of the groups have showed pre-test failure, as there were no signs of cracking and or chipping before and after the mechanical cycling.

Fracture resistance

The results on the fracture resistance tests are showed in Table 3. The Student’s t-test have showed that the fracture resistance of the 2-mm-thick group (TF2: 2069.46 ± 324.99 N) was significantly higher than the 1-mm-thick group (TF1: 1391.78 ± 318.50 N) (p = 0.0001).

The Weibull modulus (m) was not statistically different between the two groups (p = 0.574). However, there was a statistically difference noticed for the characteristic strength (σ0) (p = 0.000). The TF2 group presented the highest characteristic strength (2201.56 N) when compared to the group TF1 (1464.32 N). The Weibull distributions are graphically presented in Figure 2 and its associated parameters are summarized in Table 3.

Table 3
Fracture strength (N), Characteristic strength (σ0), Weibull modulus (m) and 95% CI for shear bond strength according experimental groups.

Figure 2
Weibull curves (95% CI) showing the cumulative probability of failures of the different surface treatments tested. m = Weibull modulus, σ0 = characteristic strength, Corr = correction.

Failure analysis and Fractography

The predominant failure mode between the two groups was delamination. According to Burke’s classification, type II was the most prevalent for both groups. In addition, the TF1 group did not show any type III failure, while 20% of the samples in the TF2 group showed this sort of failure (Table 4). The fractures have originated on the occlusal site below the point of load application where the subsurface damage was observed (Figure 3).

Table 4
Failure modes for experimental groups.

Figure 3
Higher-magnification micrographs (SEM, 150x) from the smaller micrograph (25x) of TF1 where it is possible to observe the cone cracks (arrows) that indicate failure originated on the occlusal site. The cement layer is attached to the veneer ceramic, showing complete separation from the intaglio surface. V, veneer ceramic; R, resin cement; Z, zirconia framework.

Finite Element Analysis (FEA)

The total deformation and von Mises criterion (equivalent tensile stress) showed coherence of the simulation, and the TF1 group showed higher concentration of tensile stress than the TF2 group. Hence, those stresses were concentrated in the center of the buccal surface. In the upper surface of the resin cement, tensile stresses induced compression stresses, which were higher for the TF1 group (487.65 MPa) than for the TF2 group (275.15 MPa) and flowed to the framework as did the tensile stress in the axial surface. On the inner surface of the veneering ceramic, the TF1 group showed a higher concentration of tensile stress at the interface between veneer ceramic and resin cement, and this could also be observed in a mesiodistal cross-section of the models. The maximum principal stresses results for the studied models are shown in Figure 4.

Figure 4
Maximum principal stresses results for the studied models with 10 kN vertical load. Standardized scale

Discussion

The manufacturing of bilayer crowns using the RLT technique have been previously investigated as a method to reduce the residual thermal stress in bilayer crowns, consequently improving their mechanical performance 15,16,17. Moreover, the residual thermal stress accumulation may also be affected by the veneering ceramic thickness 18,19. Therefore, our study investigated the fracture resistance of bilayer crowns manufactured with veneering ceramic using the RLT technique and in two different thicknesses: 1- and 2- mm.

The disposition of the occlusal space and the degree of anatomical characterization of the restoration are factors that tend to determine the thickness of the veneering ceramic, characteristics which may vary from patient to patient. The lowest layer thickness recommended for the manufacturing of crowns utilizing the RLT technique is of 1 mm. However, in some cases, a thicker layer is demanded to achieve a perfect anatomy and contact points 9. Based on these facts, we investigated here both 1- and 2-mm veneering ceramic thickness of bilayer zirconia-based crowns. Furthermore, the fracture resistance test was chosen due to its simplicity, easy performance, as well as considered widely utilized to analyze the mechanical characteristics of oral materials 23.

The mechanical cycling was performed in all samples to simulate the masticatory loads in the oral environment and its effects on the longevity of the materials, and 2×106 cycles were applied as it has been considered as approximately four years of normal masticatory loads 24. There were no failures detected in the crowns after mechanical cycling, a find that was also confirmed in previous studies that manufactured bilayer crowns using the RLT 15,16,17. Schmitter et al. (16) performed thermocycling (10,000 cycles, 60-65°C) and mechanical cycling (1.2×106, 108N) and reported that, after aging, no failures were detected in the crowns manufactured using the RLT, while 87,5% (7 crowns) of the crowns with hand-layered veneering ceramic have failed. Another study 17 has manufactured veneering ceramic for all the crowns using CAD/CAM technology. Half of them were cemented to the framework whereas the other half were fused, and the same aging protocol utilized in Schmitter et al. 16 was performed. There was no detectable failure after aging for both scenarios investigated. Riedel et al. 15 have conducted a survival analysis and reported that no fracture was observed in the crowns with feldspathic or polymer infiltrated ceramic veneering ceramic manufactured by RLT after 2.5×106 and 3.5×106 cycles, respectively. However, any of those crowns with hand-layered veneering ceramic have remained intact after 2×106 cycles. These results may be an indicative of a more stable performance under masticatory loads on crowns manufactured using the RLT technique, a finding that may be linked to the less internal flaws detected in ceramic blocks industrially manufactured using CAD/CAM technology 2.

Our primary hypothesis tested here stating that crowns with reduced veneering ceramic thickness will present the highest fracture resistance was refused since crowns of 2 mm veneering ceramic thickness have presented higher fracture resistance than crowns of 1 mm veneering ceramic thickness. Nevertheless, our results agree with the finite element analysis (FEA) found here, which have showed that higher concentration and greater areas of tensile stress were observed in the group of the crowns having 1 mm occlusal thickness.

A previous study has reported that the samples with greater thickness of the veneering ceramic showed lower fracture resistance 20. However, this study have manufactured veneering ceramic using conventional technique (layering). Thus, when comparing our results with those obtained in these studies cited above one can infer that these differences may be linked to the manufacturing technique of the veneering ceramic. Presumably, there are no studies so far in the literature that have evaluated the effect of thickness on veneering ceramic fabricated by the RLT technique. Our study has utilized CAD/CAM technology to produce the ceramic blocks that supposedly tend to be more resistant to fracture due to their less internal flaws 2. Other than that, the issues related to the higher accumulation of residual thermal stress in samples with greater thickness of the veneering ceramic made by conventional techniques may have been worked out well when utilizing the RLT technique. Hence, crowns with greater thickness (veneering ceramic plus framework) have showed better stress distribution as we observed when using the FEA, thus, promoting the highest values of fracture resistance. The Weibull analysis was conducted to investigate the reliability of the groups (TF1 and TF2) having the cemented crown with 1- or 2-mm veneering ceramic thickness on occlusal. The characteristic strength of crowns with 2 mm veneering ceramic thickness were higher than those crowns of 1 mm. We believe that this result can be linked to the higher tension concentration detected in the FEA for the group TF1 (with 1 mm veneering ceramic thickness). The Weibull modulus was similar between the two groups investigated in this study, indicating that the thickness tested may have not significantly affected the original imperfections (flaws).

The main failure mode was observed for the delamination of the feldspathic ceramic, exposing the zirconia framework but without compromising it. Nonetheless, it was possible to observe a higher concentration of tensile stress on the buccal surface when using the FEA, a result that might have explained the findings on the strength of the materials utilized for this study. Schmitter et al. 17 have reported that delamination was the predominant failure mode observed for the crowns with the lithium disilicate veneering ceramic and manufactured by CAD/CAM technology. These findings differ from a study that have applied conventional techniques where the most common type of failure was the chipping of the veneering ceramic 25. According to the FEA, there was a greater tensile stress at the interface between veneering ceramic/resin cement in both type of crowns, with a higher concentration at the interface of the 1-mm crowns (TF1 group). This stress concentration together with the weak adhesion between zirconia and the resin cement, may be linked to the cause of the high incidence of debonding of the cement. The fractography analysis revealed that the failure was initiated below the point of load application on the occlusal surface and with contact damage sites. While Hoop-type stresses (circumferential stress) were present, residual thermal stresses that usually promote chipping were not found in this study, a promising result that is worthy of further investigations. Also, Schmitter et al. 17 have reported the failure initiation at the occlusal surface as well as at the framework and or veneering ceramic interface.

The simplification of specimens (models) can give an idea of damage modes that are clinically relevant 21, but they do not account for complex occlusal loading, crown geometry, and other factors that play a role in the lifetime of a crown. Nevertheless, it is difficult to simulate the action of all these factors cited above, individually or in combination, in a laboratory study. Hence, caution is needed when analyzing these sorts of results. Currently, several types of ceramics are available to be worked with CAD/CAM technology, pointing out to the direction that further in vitro studies would be important to compare different sorts of materials and thickness to manufacture veneering ceramics using the RLT technique, as well as different protocols for their cementation to the framework. Moreover, we call attention here to the importance of empirical investigations on the long-term clinical performance of crowns manufactured by this technique (RLT).

Conclusion

It can be concluded here that all-ceramic crowns manufactured using the approach of 2 mm of veneering ceramic have promoted higher fracture resistance compared to the group with 1mm veneering ceramic. Moreover, the finite element analysis (FEA) showed that the stress distribution in zirconia-based bilayer crowns was dependent on the veneer ceramic thickness.

Acknowledgments

This study was built upon a piece of a doctoral dissertation submitted to the Institute of Science and Technology, UNESP - Universidade Estadual Paulista, São Paulo, Brazil, as part of the requirements for a Ph.D. degree. Also, this study was supported by Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP, Grants number #2011/1218-7and number #2011/13085-9).

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Publication Dates

  • Publication in this collection
    08 Nov 2021
  • Date of issue
    May-Jun 2021

History

  • Received
    13 Dec 2020
  • Accepted
    29 Mar 2021
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Fundação Odontológica de Ribeirão Preto Av. do Café, S/N, 14040-904 Ribeirão Preto SP Brasil, Tel.: (55 16) 3602-3982, Fax: (55 16) 3633-0999 - Ribeirão Preto - SP - Brazil
E-mail: bdj@forp.usp.br
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