Mechanics of the maxillary central incisor. Influence of the periodontal ligament represented by beam elements

References

• Andersen , KL , Pedersen , EH and Melsen , B . 1991 . Material parameters and stress profiles within the periodontal ligament . Am J Orthod Dentofacial Orthop , 99 ( 5 ) : 427 – 440 .
   PubMed Web of Science ®Google Scholar
• Atmaram , GH and Mohammed , H . 1981 . Estimation of physiologic stresses with a natural tooth considering fibrous PDL structure . J Dent Rest , 60 ( 5 ) : 873 – 877 .
   PubMed Web of Science ®Google Scholar
• Berkovitz , BKB , Moxham , BJ and Newman , HN . 1995 . The periodontal ligament in health and disease , 2nd ed , London : Mosby-Wolfe .
   Google Scholar
• Cattaneo , PM , Dalstra , M and Melsen , B . 2005 . The finite element method: a tool to study orthodontic tooth movement . J Dent Res , 84 ( 5 ) : 428 – 433 .
   PubMed Web of Science ®Google Scholar
• Darendeliler , S , Darendeliler , H and Kinoglu , T . 1992 . Analysis of a central maxillary incisor by using a three-dimensional finite element method . J Oral Rehabil , 19 ( 4 ) : 371 – 383 .
   PubMed Web of Science ®Google Scholar
• de Vree , JHP , Spierings , TAM and Plasschaert , AJM . 1983 . A simulation model for transient thermal analysis of restored teeth . J Dent Res , 62 ( 6 ) : 756 – 759 .
   PubMed Web of Science ®Google Scholar
• Farah , JW , Craig , RG and Merqueh , KA . 1988 . Finite element analysis of a mandibular model . J Oral Rehabil , 15 ( 6 ) : 615 – 624 .
   PubMed Web of Science ®Google Scholar
• Grant , DA , Stern , IB and Listgarten , MA . 1988 . Periodontics , 6th ed , St Louis (MO) : Ed. Mosby .
   Google Scholar
• Halazonetis , DJ . 1996 . Computer experiments using a two-dimensional model of tooth support . Am J Orthod Dentofacial Orthop , 109 ( 6 ) : 598 – 606 .
   PubMed Web of Science ®Google Scholar
• Jeon , PD , Turley , PK and Ting , K . 2001 . Three-dimensional finite element analysis of stress in the periodontal ligament of the maxillary first molar with simulated bone loss . Am J Orthod Dentofacial Orthop , 119 ( 5 ) : 498 – 504 .
   PubMed Web of Science ®Google Scholar
• Ko , CS , Chu , CS , Chung , KH and Lee , MC . 1992 . Effects of posts on dentin stress distribution in pulpless teeth . J Prosthet Dent , 68 ( 3 ) : 421 – 427 .
   PubMed Web of Science ®Google Scholar
• Middleton , J , Jones , M and Wilson , A . 1996 . The role of the periodontal ligament in bone modeling: the initial development of a time-dependent finite element model . Am J Orthod Dentofacial Orthop , 109 ( 2 ) : 155 – 162 .
   PubMed Web of Science ®Google Scholar
• Natali , AN , Pavan , PG and Scarpa , C . 2004 . Numerical analysis of tooth mobility: formulation of a non-linear constitutive law for the periodontal ligament . Dent Mater , 20 ( 7 ) : 623 – 629 .
   PubMed Web of Science ®Google Scholar
• Ona , M and Wakabayashi , N . 2006 . Influence of alveolar support on stress in periodontal structures . J Dent Res , 85 ( 12 ) : 1087 – 1091 .
   PubMed Web of Science ®Google Scholar
• Poppe , M , Bourauel , C and Jäger , A . 2002 . Determination of the elasticity parameters of the human periodontal ligament and the location of the center of resistance of single-rooted teeth. A study of autopsy specimens and their conversion into finite element models . J Orofac Orthop , 63 ( 5 ) : 358 – 370 .
   PubMedGoogle Scholar
• Provatidis , CG . 2000 . A comparative FEM-study of tooth mobility using isotropic and anisotropic models of the periodontal ligament . Med Eng Phys , 22 ( 5 ) : 359 – 370 .
   PubMed Web of Science ®Google Scholar
• Qian , H , Chen , J and Katona , TR . 2001 . The influence of PDL principal fibers in a 3-dimensional analysis of orthodontic tooth movement . Am J Orthod Dentofacial Orthop , 120 ( 3 ) : 272 – 279 .
   PubMed Web of Science ®Google Scholar
• Rees , JS and Hammadeh , M . 2004 . Undermining of enamel as a mechanism of abfraction lesion formation: a finite element study . Eur J Oral Sci , 112 ( 4 ) : 347 – 352 .
   PubMed Web of Science ®Google Scholar
• Rees , JS and Jacobsen , PH . 1997 . Elastic modulus of the periodontal ligament . Biomaterials , 18 ( 14 ) : 995 – 999 .
   PubMed Web of Science ®Google Scholar
• Ricks-Williamson , LJ , Fotos , PG , Goel , VK , Spivey , JD , Rivera , EM and Khera , SC . 1995 . A three-dimensional finite-element stress analysis of an endodontically prepared maxillary central incisor . J Endod , 21 ( 7 ) : 362 – 367 .
   PubMed Web of Science ®Google Scholar
• Romeed , SA , Fok , SL and Wilson , NHF . 2006 . A comparison of 2D and 3D finite element analysis of a restored tooth . J Oral Rehabil , 33 ( 3 ) : 209 – 215 .
   PubMed Web of Science ®Google Scholar
• Sicher , H and Dubrul , EL . 1988 . Oral anatomy , 8th ed , St Louis (MO) : Ishiyaku Euroamerica .
   Google Scholar
• Toms , SR and Eberhardt , AW . 2003 . A nonlinear finite element analysis of the periodontal ligament under orthodontic tooth loading . Am J Orthod Dentofacial Orthop , 123 ( 6 ) : 657 – 665 .
   PubMed Web of Science ®Google Scholar
• Toms , SR , Lemons , JE , Bartolucci , AA and Eberhardt , AW . 2002 . Nonlinear stress–strain behavior of periodontal ligament under orthodontic loading . Am J Orthod Dentofacial Orthop , 122 ( 2 ) : 174 – 179 .
   PubMed Web of Science ®Google Scholar
• Tortopidis , D , Lyons , MF , Baxendale , RH and Gilmour , WH . 1998 . The variability of bite force measurement between sessions in different positions within the dental arch . J Oral Rehabil , 25 ( 9 ) : 681 – 686 .
   PubMed Web of Science ®Google Scholar
• van Noort , R , Cardew , GE and Howard , IC . 1988 . A study of the interfacial shear and tensile stresses in a restored molar tooth . J Dent , 16 ( 6 ) : 286 – 293 .
   PubMed Web of Science ®Google Scholar
• Yaman , SD , Alaçam , T and Yaman , Y . 1998 . Analysis of stress distribution in a maxillary central incisor subjected to various post and core applications . J Endod , 24 ( 2 ) : 107 – 111 .
   PubMed Web of Science ®Google Scholar
• Zarone , F , Sorrentino , R , Apicella , D , Valentino , B , Ferrari , M and Aversa , R . 2006 . Evaluation of the biomechanical behavior of maxillary central incisors restored by means of endocrowns compared to a natural tooth: a 3D static linear finite element analysis . Dent Mater , 22 ( 11 ) : 1035 – 1044 .
   PubMed Web of Science ®Google Scholar