bdj
Brazilian Dental Journal
Braz. Dent. J.
0103-6440
1806-4760
Fundação Odontológica de Ribeirão Preto
Ribeirão Preto, SP, Brazil
A discrepância entre a expansão e a contração térmica dos materiais restauradores e o dente podem causar estresse na sua interface, podendo levar a uma microinfiltração. O presente trabalho determinou e comparou o coeficiente de expansão térmica (CET) com o comportamento termo mecânico dos dentes humanos e bovinos e determinou se o CET é um parâmetro adequado para descrever o comportamento dental. 15 fatias (6×5×2 mm) de terceiros molares humanos e 15 de incisivos bovinos foram divididos em 3 grupos de acordo com o ambiente testado: G1 - condição ambiente, G2 - 100% de umidade, G3 - dissecado e testado em condição seca. Cada espécime foi pesado, aquecido de 20 a 70<img border=0 width=32 height=32 src="../../../../../../img/revistas/bdj/v23n1/car01.jpg">C a 10ºC min-1 e pesados novamente. O CET foi mensurado entre 20 e 50ºC. Dentina fresca (humana -0,49% ± 0,27, bovina -0,22% ± 0,16) contrai no aquecimento sobre condição seca. Em condição úmida, somente dente humano (-0,05% ± 0,04) mostrou contração (bovina 0,00% ± 0,03) acompanhado por uma significante (p<0.05) perda de massa que os espécimes secos. A dentina dissecada expande no aquecimento sem mudanças óbvias de peso (0,00% ± 0,00). O CET encontrado foi, respectivamente, em condições seca, úmida e dissecada em ºC-1: humana (-66,03×10-6, -6,82×10-6, 5,52×10-6) e bovina (-33,71×10-6, 5,47×10-6, 4,31×10-6). De acordo com sua condição de umidade, a dentina mostrou diferentes CETs. O comportamento de expansão térmica de dentes humanos e bovinos é similar. Uma simples avaliação do coeficiente de expansão térmica da estrutura dental pelo seu valor de CET pode não ser apropriada para uma consideração significativa dos efeitos na interface dente-material restaurador.
Evaluation of the coefficient of thermal expansion of human and bovine dentin by thermomechanical analysis
Murilo Baena LopesI; Zhuoqun YanII; Simonides ConsaniIII; Alcides Gonini JúniorI; Anderson AleixoI; John F. McCabeII
IDepartment of Dentistry, UNOPAR - University North of Paraná, Londrina, PR, Brazil
IIDental Biomaterials, School of Dental Sciences, University of Newcastle, Newcastle upon Tyne, UK
IIIDepartment of Restorative Dentistry, Piracicaba Dental School, UNICAMP - University of Campinas, Piracicaba, SP, Brazil
Correspondence
ABSTRACT
The mismatch of thermal expansion and contraction between restorative materials and tooth may cause stresses at their interface, which may lead to microleakage. The present work compared the coefficient of thermal expansion (CTE) with the thermomechanical behavior of human and bovine teeth and determined if the CTE is a suitable parameter to describe tooth behavior. Fifteen human third molar and 15 bovine incisor tooth slices (6×5×2 mm) were allocated to 3 groups according to the test environment: G1 - room condition, G2 - 100% humidity, G3 - desiccated and tested in dry condition. Each specimen was weighed, heated from 20 to 70ºC at 10ºC min−1 and reweighed. The CTE was measured between 20 and 50ºC. Fresh dentin (human -0.49% ± 0.27, bovine -0.22% ± 0.16) contracted on heating under dry condition. Under wet conditions, only human teeth (-0.05% ± 0.04) showed contraction (bovine 0.00% ± 0.03) accompanied by a significantly lower (p<0.05) weight loss than in dry specimens (human 0.35% ± 0.15, bovine 0.45% ± 0.20). The desiccated dentin expanded on heating without obvious weight changes (0.00% ± 0.00). The CTE found was, respectively, in dry, wet and dissected conditions in ºC-1: human (-66.03×10-6, -6.82×10-6, 5.52×10-6) and bovine (-33.71×10-6, 5.47×10-6, 4.31×10-6). According to its wet condition, the dentin showed different CTEs. The thermal expansion behavior of human and bovine dentin was similar. A simple evaluation of the thermal expansion behavior of tooth structure by its CTE value may not be appropriate as a meaningful consideration of the effects on the tooth-material interface.
Key words: dentin, thermal diffusion, physical properties, coefficient of thermal expansion, bovine teeth, human teeth.
RESUMO
A discrepância entre a expansão e a contração térmica dos materiais restauradores e o dente podem causar estresse na sua interface, podendo levar a uma microinfiltração. O presente trabalho determinou e comparou o coeficiente de expansão térmica (CET) com o comportamento termo mecânico dos dentes humanos e bovinos e determinou se o CET é um parâmetro adequado para descrever o comportamento dental. 15 fatias (6×5×2 mm) de terceiros molares humanos e 15 de incisivos bovinos foram divididos em 3 grupos de acordo com o ambiente testado: G1 - condição ambiente, G2 - 100% de umidade, G3 - dissecado e testado em condição seca. Cada espécime foi pesado, aquecido de 20 a 70ºC a 10ºC min-1 e pesados novamente. O CET foi mensurado entre 20 e 50ºC. Dentina fresca (humana -0,49% ± 0,27, bovina -0,22% ± 0,16) contrai no aquecimento sobre condição seca. Em condição úmida, somente dente humano (-0,05% ± 0,04) mostrou contração (bovina 0,00% ± 0,03) acompanhado por uma significante (p<0.05) perda de massa que os espécimes secos. A dentina dissecada expande no aquecimento sem mudanças óbvias de peso (0,00% ± 0,00). O CET encontrado foi, respectivamente, em condições seca, úmida e dissecada em ºC-1: humana (-66,03×10-6, -6,82×10-6, 5,52×10-6) e bovina (-33,71×10-6, 5,47×10-6, 4,31×10-6). De acordo com sua condição de umidade, a dentina mostrou diferentes CETs. O comportamento de expansão térmica de dentes humanos e bovinos é similar. Uma simples avaliação do coeficiente de expansão térmica da estrutura dental pelo seu valor de CET pode não ser apropriada para uma consideração significativa dos efeitos na interface dente-material restaurador.
INTRODUCTION
Knowledge of canal morphology (1) and its structure is a basic requirement for endodontic treatment. Wide temperature fluctuations may occur in the oral environment due to the consumption of hot or cold food and fluids. Therefore, restorative materials placed in this environment may show thermal expansion or contraction in response to thermal stimuli. The mismatch of thermal expansion and contraction between a restoration and the tooth structure may cause stresses to develop at the interface of these two materials, which may have unfavorable effects on the margins and eventually lead to microleakage (2). Thus, deep knowledge of these structures is essential for understanding the permeability of this tissue, and therefore the efficacy of currently used intracanal medications and endodontic sealers (3-5).
The coefficient of thermal expansion (CTE) is normally used to describe the fractional dimensional changes of a substance in response to thermal stimuli. The evaluation of the CTE for tooth structure and restorative materials (6,7) has shown that the CTE of enamel is around 11.4×10-6ºC-1 and dentin around 8.0×10-6ºC-1, while the CTE for restorative materials is different, such as resin composite materials with a CTE of 17-50×10-6C-1 (8-10). Comparison of CTE between restorative materials and tooth structure has often been used to evaluate the microleakage potential resulting from thermal expansion and contraction (8,11). There are also no references in the literature to measurements of thermal expansion in a wet environment, although there are some studies where the specimens were immersed in water (12).
Several in vitro studies have been carried out using extracted human teeth, which are sometimes difficult to obtain for various reasons (13,14). Therefore, it has become necessary to consider alternative substrates, which makes bovine teeth an alternative. The size and availability of bovine incisors make them potentially useful (15,16). However, there is some concern about whether data obtained from bovine teeth can be applied to human teeth and therefore about the validity of the results obtained from them in a clinical situation (16,17).
The present study compared the CTE with the thermomechanical behavior of human and bovine teeth to verify if a simple CTE value can describe the behavior of real teeth. The null hypotheses to be tested are: 1 - there is no difference in the thermal expansion behavior of human and bovine dentin in dry and wet conditions; 2 - the CTE is not a suitable parameter to describe the behavior of teeth.
MATERIAL AND METHODS
Fifteen human third molar and 15 bovine incisor dentin slices (nominal 6×5×2 mm) were cut with a saw (model 650; South Bay Tech., San Clemente, CA, USA) from freshly extracted teeth (Fig. 1) and allocated to 3 groups (G1, G2, G3). The thermal expansion behavior of G1 was determined at room conditions at 65% relative humidity and 20ºC (Fig. 2). For G2, each specimen was surrounded by a thin layer of damp cotton with the top and bottom surfaces of the specimen left uncovered (Fig. 2). Distilled water was syringed onto the cotton before the specimen was tested. This ensured that these specimens were tested under wet conditions (100% humidity). A pilot study using composite specimens was previously done to validate the method and to ensure the 100% humidity method was fully functional. G3 was stored in a desiccator at 100C for 3 days and had the weight measured (e=0.00 1 g, model AG200; Indústria e Comércio Eletro Eletrônica Gehaka Ltda., São Paulo, SP, Brazil) every 12 h. After 3 consecutive measures without obvious changes (± 0.02 g), the specimens were considered dry and were immediately tested (Fig. 2).
The thermal expansion properties were determined by a thermomechanical analyzer (Stanton Redcroft, London, UK). Each sample was held vertically in the holding chamber with an optically flat base. A quartz probe, controlled by a balanced beam, with constant but negligible load (approximately 1 g) was placed on the sample. A displacement transducer was connected to the probe to detect the dimensional change of the sample. Each specimen was weighed, heated from 20 to 70ºC at 10ºC min-1 and then reweighed. To determine the coefficient of thermal expansion, the considered change in temperature was from 20 to 50ºC. Data from weight change and thermomechanical analyzer were subjected to ANOVA and Tukey's test at 5% level of significance.
RESULTS
The results in percentage of dimensional and weight change and coefficient of thermal expansion (Table 1) were obtained. Fresh human and bovine dentin contracted on heating under dry condition. Under wet conditions, only human teeth showed contraction. The contraction was significantly greater under dry conditions (p<0.05). Contraction of human and bovine wet specimens was accompanied by a significantly lower (p<0.05) weight loss than in dry specimens. The desiccated dentin expanded on heating without obvious weight changes.
DISCUSSION
The human tooth structure in the oral environment is affected by considerable thermal fluctuations while consuming hot and cold aliments. When a composite material, such as dentin, is subjected to a temperature change, the various constituents in its tend to expand by different amounts. This occurs mainly because of the presence of different materials having various coefficients of expansion or inhomogeneities in their microstructure (18). These incompatibilities can engender internal stresses and strains, while playing a dominant role in the creation of thermal fatigue damage, such as interfacial debonding and microcracking at elevated temperatures (18).
It has been reported that a sudden thermal shock could occur in the mouth, thereby damaging dental pulp when ice (0ºC) or hot water (60 to 70ºC) is placed in the mouth (19). The surface of a tooth can reach a critical temperature almost immediately after contact with heat sources, although the temperature rise is confined to the surface of the tooth for only a short time. After this sudden change, the oral temperature returns to normal via heat sinking resulting from circulating blood and/or saliva. This transient thermal effect has been reported to induce stress on the tooth and restorative materials (20). For endodontically compromised teeth, these temperature changes are even more critical due to the lack of pain sensitivity and circulating fluids inside the pulp chamber, which make the tooth more susceptible to higher temperature differences and return more slowly to the mouth temperature. Even though this stress may not be strong enough to fracture these materials immediately, it has been postulated that any microscopic flaws present at the tooth-restorative material interface may have a tendency to propagate slowly over many cycles of such stress and thereby produce microleakage at the interface (21).
The CTE of tooth structure is generally the reference against which the thermal expansion behavior of restorative materials is judged. However, the tooth structures are quite complex, producing complex and anisotropic properties (2). An in vitro study has shown that human dentin expands slightly on heating and contracts at higher temperatures (18). Furthermore, fluid flux in living tissue may also affect the thermal expansion behavior of dental structures; therefore, the behavior of tooth structures may be different in vivo and in vitro (2). This makes it difficult to assess the importance of thermally induced dimensional changes in restorative materials.
The CTE was calculated in the present study at the range of 20 to 50ºC to compare the results with the literature findings (9,10). The reference values for the CTE of dental materials always refers to the work of the National Bureau of Standards (9) and to a compilation of the results from that findings (10). The CTE for human teeth measured at near 100% relative humidity was -6.82×10-6 ºC-1 (Table 1) indicating a contraction with temperature rise. This probably occurred due to the expansion of the water molecules present within the dentinal tubules, moving the existing water out of the tubules. At the same conditions, bovine teeth showed a coefficient of 5.47×10-6 ºC-1, indicating an expansion, which probably happened due to the larger dentinal tubules in the bovine teeth, making the capillary effect less efficient and reducing the water movement inside the tubules. For dry and desiccated conditions, human and bovine dentin showed similar behaviors.
The environment at near 100% humidity also contributed to the expansion by allowing little evaporation to occur. The results of the desiccated specimens tested in a dry environment showed a small expansion, indicating an influence of water in the obtained values for the specimens tested in a humid environment. If the clinical situation and the oral environment are considered, the specimens tested at near 100% relative humidity are closer to a real situation.
According to the results of the present work, the dentin did not expand or contract (Table 1) when the specimens were heated up to 70ºC, which is approximately the maximum temperature achieved in the mouth. These results do not agree with those of several previous studies (6,11,12,20,22). However, the current study was the first one to test the thermal expansion under nearly 100% relative humidity. Previously, data were collected before immersion of specimens into water or placement of specimens in a dry environment (9). The lack of expansion of dentin could be due to the structure of dentinal tubules, which could absorb the expansion by moving tubular fluid. According to the data related to the lack of expansion of dentin, the difference of thermal expansion of restorative materials and dentin is much higher than what is actually believed. This is particularly important when developing restorative materials with as little thermal expansion as possible.
When fresh specimens were tested in a dry environment, a small contraction was found, probably due to the loss of water and organic substances, such as collagen, from the tooth. This could be confirmed by analyzing the data obtained from the percentage of weight change, where desiccated specimens did not show loss of material, which was a different result from the fresh.
Although human and bovine teeth have some different physical characteristics, such as tubule diameter (23), quantity of intertubular dentin (17,23), dentin thickness (17), shape and enamel porosity (24,25), the thermal expansion between these two substrates was found to be similar. These results validate using bovine teeth as a substitute for human teeth for in vitro studies and make the first null-hypothesis accepted. However, more studies have to be completed to verify other properties and characteristics. The second null-hypothesis in the current study must be rejected because the evaluation of the thermal expansion behavior of tooth structure by the CTE seems not to be representative of the effects on the tooth-material interface.
In conclusion, the thermal expansion behavior of human and bovine dentin in dry and wet conditions is not similar. A simple evaluation of the thermal expansion behavior of tooth structure by its CTE value may not be appropriate as a meaningful consideration of the effects on the tooth-restorative material interface.
ACKNOWLEDGEMENTS
Grateful acknowledgement is made to CAPES for its support in this research - BEX: 3427/04-8.
Correspondence:
Prof. Dr. Murilo Baena Lopes, Rua Marselha, 183
86041-100 Londrina, PR, Brasil
Tel: +55-43-3371-7820
E-mail:
baenalopes@gmail.com
Received February 25, 2011
Accepted December 13, 2011
1. Verma P, Love RM. A Micro CT study of the mesiobuccal root canal morphology of the maxillary first molar tooth. Int Endod J 2011;44:210-217.
A Micro CT study of the mesiobuccal root canal morphology of the maxillary first molar tooth
Int Endod J
2011
210
217
44
Verma
P
Love
RM
2. Yan Z, Sidhu SK, Carrick TE, McCabe JF. Response to thermal stimuli of glass ionomer cements. Dent Mater 2007;23:597-600.
Response to thermal stimuli of glass ionomer cements
Dent Mater
2007
597
600
23
Yan
Z
Sidhu
SK
Carrick
TE
McCabe
JF
3. De Bruyne MA, De Bruyne RJ, De Moor RJ. Long-term assessment of the seal provided by root-end filling materials in large cavities through capillary flow porometry. Int Endod J 2006;39:493-501.
Long-term assessment of the seal provided by root-end filling materials in large cavities through capillary flow porometry
Int Endod J
2006
493
501
39
De Bruyne
MA
De Bruyne
RJ
De Moor
RJ
4. De Bruyne MA, De Bruyne RJ, De Moor RJ. Capillary flow porometry to assess the seal provided by root-end filling materials in a standardized and reproducible way. J Endod 2006;32:206-209.
Capillary flow porometry to assess the seal provided by root-end filling materials in a standardized and reproducible way
J Endod
2006
206
209
32
De Bruyne
MA
De Bruyne
RJ
De Moor
RJ
5. Camargo CH, Siviero M, Camargo SE, de Oliveira SH, Carvalho CA, Valera MC. Topographical, diametral, and quantitative analysis of dentin tubules in the root canals of human and bovine teeth. J Endod 2007;33:4226.
Topographical, diametral, and quantitative analysis of dentin tubules in the root canals of human and bovine teeth
J Endod
2007
33
Camargo
CH
Siviero
M
Camargo
SE
de Oliveira
SH
Carvalho
CA
Valera
MC
6. McCabe JF, Wassell RW. Thermal expansion of composites. J Mater Sci: Mater Med 1995;6:624-629.
Thermal expansion of composites
J Mater Sci: Mater Med
1995
624
629
6
McCabe
JF
Wassell
RW
7. Yamaguchi R, Powers JM, Dennison JB. Thermal expansion of visible-light-cured composite resins. Oper Dent 1989;14:64-67.
Thermal expansion of visible-light-cured composite resins
Oper Dent
1989
64
67
14
Yamaguchi
R
Powers
JM
Dennison
JB
8. Craig RG, Powers JM. Restorative dental materials. 11th ed. St. Louis: Mosby 2002.
Restorative dental materials
2002
Craig
RG
Powers
JM
9. Souder WH, Peters GC. An investigation of the physical properties of dental materials. Dent Cosmos 1920;62:305-335.
An investigation of the physical properties of dental materials
Dent Cosmos
1920
305
335
62
Souder
WH
Peters
GC
10. Souder WH, Peters GC. Circular of the National Bureau of Standards C433: Physical properties of dental materials. Washington: U.S. Department of Commerce, National Bureau of Standards 1942.
Circular of the National Bureau of Standards C433: Physical properties of dental materials
1942
Souder
WH
Peters
GC
11. Sidhu SK, Carrick TE, McCabe JF. Temperature mediated coefficient of dimensional change of dental tooth-colored restorative materials. Dent Mater 2004;20:435-440.
Temperature mediated coefficient of dimensional change of dental tooth-colored restorative materials
Dent Mater
2004
435
440
20
Sidhu
SK
Carrick
TE
McCabe
JF
12. Xu HC, Liu WY, Wang T. Measurement of thermal expansion coefficient of human teeth. Aust Dent J 1989;34:530-535.
Measurement of thermal expansion coefficient of human teeth
Aust Dent J
1989
530
535
34
Xu
HC
Liu
WY
Wang
T
13. Almeida KG, Scheibe KG, Oliveira AE, Alves CM, Costa JF. Influence of human and bovine substrate on the microleakage of two adhesive systems. J Appl Oral Sci 2009;17:92-96.
Influence of human and bovine substrate on the microleakage of two adhesive systems
J Appl Oral Sci
2009
92
96
17
Almeida
KG
Scheibe
KG
Oliveira
AE
Alves
CM
Costa
JF
14. Bajaj D, Sundaram N, Nazari A, Arola D. Age, dehydration and fatigue crack growth in dentin. Biomaterials 2006;27:2507-2517.
Age, dehydration and fatigue crack growth in dentin
Biomaterials
2006
2507
2517
27
Bajaj
D
Sundaram
N
Nazari
A
Arola
D
15. Burrow MF, Sano H, Nakajima M, Harada N, Tagami J. Bond strength to crown and root dentin. Am J Dent 1996;9:223-229.
Bond strength to crown and root dentin
Am J Dent
1996
223
229
9
Burrow
MF
Sano
H
Nakajima
M
Harada
N
Tagami
J
16. Reeves GW, Fitchie JG, Hembree JH, Jr., Puckett AD. Microleakage of new dentin bonding systems using human and bovine teeth. Oper Dent 1995;20:230-235.
Microleakage of new dentin bonding systems using human and bovine teeth
Oper Dent
1995
230
235
20
Reeves
GW
Fitchie
JG
Hembree
JH, Jr
Puckett
AD
17. Nakamichi I, Iwaku M, Fusayama T. Bovine teeth as possible substitutes in the adhesion test. J Dent Res 1983;62:1076-1081.
Bovine teeth as possible substitutes in the adhesion test
J Dent Res
1983
1076
1081
62
Nakamichi
I
Iwaku
M
Fusayama
T
18. Kishen A, Asundi A. Investigations of thermal property gradients in the human dentine. J Biomed Mater Res 2001;55:121-130.
Investigations of thermal property gradients in the human dentine
J Biomed Mater Res
2001
121
130
55
Kishen
A
Asundi
A
19. Brown WS, Dewey WA, Jacobs HR. Thermal properties of teeth. J Dent Res 1970;49:752-755.
Thermal properties of teeth
J Dent Res
1970
752
755
49
Brown
WS
Dewey
WA
Jacobs
HR
20. Vesluis A, Douglas WH, Sakaguchi RL. Thermal expansion coefficient of dental composites measured with strain gauges. Dent Mater 1996;12:290-294.
Thermal expansion coefficient of dental composites measured with strain gauges
Dent Mater
1996
290
294
12
Vesluis
A
Douglas
WH
Sakaguchi
RL
21. Bauer JRO, Reis A, Loguercio AD, Barroso LP, Grande RHM. Effects of aging methods on microleakage of an adhesive system used as a sealant on contaminated surfaces. J Appl Oral Sci 2005;13:377-381.
Effects of aging methods on microleakage of an adhesive system used as a sealant on contaminated surfaces
J Appl Oral Sci
2005
377
381
13
Bauer
JRO
Reis
A
Loguercio
AD
Barroso
LP
Grande
RHM
22. Hashinger DT, Fairhurst CW. Thermal expansion and filler content of composite resins. J Prosthet Dent 1984;52:506-510.
Thermal expansion and filler content of composite resins
J Prosthet Dent
1984
506
510
52
Hashinger
DT
Fairhurst
CW
23. Lopes MB, Sinhoreti MA, Correr Sobrinho L, Consani S. Comparative study of the dental substrate used in shear bond strength tests. Braz Oral Res 2003;17:171-175.
Comparative study of the dental substrate used in shear bond strength tests
Braz Oral Res
2003
171
175
17
Lopes
MB
Sinhoreti
MA
Correr Sobrinho
L
Consani
S
24. Edmunds DH, Whittaker DK, Green RM. Suitability of human, bovine, equine, and ovine tooth enamel for studies of artificial bacterial carious lesions. Caries Res 1988;22:327-336.
Suitability of human, bovine, equine, and ovine tooth enamel for studies of artificial bacterial carious lesions
Caries Res
1988
327
336
22
Edmunds
DH
Whittaker
DK
Green
RM
25. Turssi CP, Messias DF, Corona SM, Serra MC. Viability of using enamel and dentin from bovine origin as a substitute for human counterparts in an intraoral erosion model. Braz Dent J 2010;21:332-336.
Viability of using enamel and dentin from bovine origin as a substitute for human counterparts in an intraoral erosion model
Braz Dent J
2010
332
336
21
Turssi
CP
Messias
DF
Corona
SM
Serra
MC
Autoria
Murilo Baena Lopes
Universidade Norte do Paraná, Department of Dentistry , Londrina, Paraná, BrazilUniversidade Norte do ParanáBrazilLondrina, Paraná, BrazilUniversidade Norte do Paraná, Department of Dentistry , Londrina, Paraná, Brazil
Zhuoqun Yan
University of Newcastle, School of Dental Sciences , Newcastle upon Tyne, UKUniversity of NewcastleUKNewcastle upon Tyne, UKUniversity of Newcastle, School of Dental Sciences , Newcastle upon Tyne, UK
Simonides Consani
Universidade Estadual de Campinas, Piracicaba Dental School , Department of Restorative Dentistry, Piracicaba, São Paulo, BrazilUniversidade Estadual de CampinasBrazilPiracicaba, São Paulo, BrazilUniversidade Estadual de Campinas, Piracicaba Dental School , Department of Restorative Dentistry, Piracicaba, São Paulo, Brazil
Alcides Gonini Júnior
Universidade Norte do Paraná, Department of Dentistry , Londrina, Paraná, BrazilUniversidade Norte do ParanáBrazilLondrina, Paraná, BrazilUniversidade Norte do Paraná, Department of Dentistry , Londrina, Paraná, Brazil
Anderson Aleixo
Universidade Norte do Paraná, Department of Dentistry , Londrina, Paraná, BrazilUniversidade Norte do ParanáBrazilLondrina, Paraná, BrazilUniversidade Norte do Paraná, Department of Dentistry , Londrina, Paraná, Brazil
John F. McCabe
University of Newcastle, School of Dental Sciences , Newcastle upon Tyne, UKUniversity of NewcastleUKNewcastle upon Tyne, UKUniversity of Newcastle, School of Dental Sciences , Newcastle upon Tyne, UK
SCIMAGO INSTITUTIONS RANKINGS
Universidade Norte do Paraná, Department of Dentistry , Londrina, Paraná, BrazilUniversidade Norte do ParanáBrazilLondrina, Paraná, BrazilUniversidade Norte do Paraná, Department of Dentistry , Londrina, Paraná, Brazil
Universidade Estadual de Campinas, Piracicaba Dental School , Department of Restorative Dentistry, Piracicaba, São Paulo, BrazilUniversidade Estadual de CampinasBrazilPiracicaba, São Paulo, BrazilUniversidade Estadual de Campinas, Piracicaba Dental School , Department of Restorative Dentistry, Piracicaba, São Paulo, Brazil
University of Newcastle, School of Dental Sciences , Newcastle upon Tyne, UKUniversity of NewcastleUKNewcastle upon Tyne, UKUniversity of Newcastle, School of Dental Sciences , Newcastle upon Tyne, UK
Lopes, Murilo Baena et al. Evaluation of the coefficient of thermal expansion of human and bovine dentin by thermomechanical analysis. Brazilian Dental Journal [online]. 2012, v. 23, n. 1 [Acessado 9 Abril 2025], pp. 03-07. Disponível em: <https://doi.org/10.1590/S0103-64402012000100001>. Epub 28 Mar 2012. ISSN 1806-4760. https://doi.org/10.1590/S0103-64402012000100001.
Fundação Odontológica de Ribeirão PretoAv. 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
rss_feed
Acompanhe os números deste periódico no seu leitor de RSS
scite shows how a scientific paper has been cited by providing the context of the citation, a classification describing whether it supports, mentions, or contrasts the cited claim, and a label indicating in which section the citation was made.