1990
DOI: 10.1016/0141-5425(90)90007-a
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Three-dimensional analysis of orthodontic tooth movement

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Cited by 52 publications
(23 citation statements)
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“…FEA is a methodology that relies on the "discretization" of large structures to smaller elements of known size, which are net-connected and capable of being mathematically interpreted [6][7][8] . The main advantage of using FEA to evaluate the biological performance of an OMI is that this methodology is based on a virtual environment, saves time, costs, and avoids the use of animals [6][7][8][9] . The literature has shown a positive correlation between the biomechanical characteristics of OMIs and their in vivo performance 10 .…”
Section: Introductionmentioning
confidence: 99%
“…FEA is a methodology that relies on the "discretization" of large structures to smaller elements of known size, which are net-connected and capable of being mathematically interpreted [6][7][8] . The main advantage of using FEA to evaluate the biological performance of an OMI is that this methodology is based on a virtual environment, saves time, costs, and avoids the use of animals [6][7][8][9] . The literature has shown a positive correlation between the biomechanical characteristics of OMIs and their in vivo performance 10 .…”
Section: Introductionmentioning
confidence: 99%
“…Esses elementos são descritos por equações diferenciais e resolvidos por modelos matemáticos para que sejam obtidos os resultados desejados. O MEF é utilizado há algum tempo em experimentos relacionados à Odontologia, em diversas especialidades, sendo a sua aplicação na Ortodontia de grande utilidade 8,9,10,12,14,15,16,18,19,20,21,22,23,24,25 . O estudo do efeito das cargas (forças) aplicadas aos dentes apresenta grande interesse científi-co e pode ser encontrado em diversos trabalhos, envolvendo metodologias variadas 2,3,5,7,9,14 .…”
Section: Introductionunclassified
“…Quanto maior o número de elementos mais preciso será o modelo 10 . Nas extremidades de cada elemento finito encontram-se pontos, ou nós, que conectam os elementos entre si, formando uma malha arranjada em camadas bi ou tridimensionais (Fig.…”
unclassified
“…For very small elongations it may alternatively be defined as the decrease in width of the specimen per unit width divided by the increase in length per umt length on the application of a tensile load [6]. Poisson's ratio for glass-ionomer cements has been shown in modelling studies to be a factor affecting the integrity of glass-ionomer cemented crowns [7] and orthodontic brackets [8]. This material property is also employed in calculating the in vitro biaxial flexural strength from the loads at failure for dental materials in the "shell test" [9].…”
Section: Introductionmentioning
confidence: 99%
“…There are a number of static methods for determining this term. These include: first-principles calculations [10]; determination of the rigidity (K), shear (G) and Young's (E) moduli, using rectangular prisms [11], controlled stress rheometry [8] and three-point bend testing [9], respectively, from the expressions: The ultrasonic pulse determination of Poisson's ratio is based on the fact that an ultrasonic pulse passed through a material in the longitudinal and transverse directions will undergo different propagation paths [14]. In practical terms, this will affect the time taken for the pulse to travel through the specimen in each mode.…”
Section: Introductionmentioning
confidence: 99%