2011
DOI: 10.1016/j.jbiomech.2010.08.019
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Hydro-mechanical coupling in the periodontal ligament: A porohyperelastic finite element model

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Cited by 41 publications
(59 citation statements)
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“…It was concluded that the PDL behaved as a poroelastic, biphasic (fluid and solid phases) material (Jó nsdó ttir et al, 2006) and showed a twophase, anisotropic response in time. More recently, Bergomi et al (2011) proposed a porohyperelastic model and found it to be pertinent for the description of the PDL's response under cyclic tension-compression loading. Hyperelastic models are effective in modelling this type of behaviour in the solid phase, but not the PDL's almost-incompressible response from the fluid phase.…”
Section: Hyperelasticmentioning
confidence: 99%
“…It was concluded that the PDL behaved as a poroelastic, biphasic (fluid and solid phases) material (Jó nsdó ttir et al, 2006) and showed a twophase, anisotropic response in time. More recently, Bergomi et al (2011) proposed a porohyperelastic model and found it to be pertinent for the description of the PDL's response under cyclic tension-compression loading. Hyperelastic models are effective in modelling this type of behaviour in the solid phase, but not the PDL's almost-incompressible response from the fluid phase.…”
Section: Hyperelasticmentioning
confidence: 99%
“…However, these systems significantly contributed to tooth support only when forces were < 1.0 N. They also showed that the fluid systems take the responsibility of 30% of the tooth in the tensioncompression volumetric viscoelastic model, which is the most appropriate interpretation of normal PDL behavior under loading conditions, and that the deviatoric viscoelastic model is a good representation of how a damaged PDL behaves under loading conditions. 26 Essentially, this study demonstrates that because it is difficult to ascertain the in vivo stress distribution through laboratory experimentation, the method used in this study provides an opportunity to observe stress distributions throughout the tooth and its surrounding tissues. The effects of the distribution of tooth stress on the assumptions of various properties of the periodontium will be addressed in a subsequent study.…”
Section: Discussionmentioning
confidence: 94%
“…Driven by the unit volume strain energy, a third-order Ogden strain energy constitutive equation (Bergomi et al 2011;Limbert et al 2003) was derived from the in vivo data documented by Kishi (1972) by leastsquare fitting. The mechanical properties of other materials were taken from the previous FE studies (Sato et al 2000;Field et al 2010;Wang et al 2011;Chen et al 2013), as summarized in Table 2.…”
Section: Finite Element Modellingmentioning
confidence: 99%