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British Journal of Orthodontics Volume 21, 1994 - Issue 2
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Original Articles

The Finite Element Analysis of Stress in the Periodontal Ligament when Subject to Vertical Orthodontic Forces

A. N. WilsonDepartment of Civil Engineering, University College Swansea, Singleton Park, Swansea, WalesSA2 8PP
, B.Sc., M.Sc., Ph.D.,
J. MiddletonDepartment of Civil Engineering, University College Swansea, Singleton Park, Swansea, WalesSA2 8PP
, B.Sc., M.Sc.,
M. L. JonesDepartment of Child Dental Health, Dental School, University of Wales College of Medicine, Heath Park, Cardiff, WalesCF4 4XY
, Ph.D., F.D.S., D.Orth. &
N. J. McGuinnessDepartment of Child Dental Health, Dental School, University of Wales College of Medicine, Heath Park, Cardiff, WalesCF4 4XY
, M.Sc.D., F.D.S., M.Orth.
Pages 161-167 | Accepted 01 Apr 1993, Published online: 21 Jun 2016

Citations (31)

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Jeremy Knox, Malcolm L. Jones, Pierre Hubsch, John Middleton & Berislav Kralj. (2000) An evaluation of the Stresses Generated in a Bonded Orthodontic Attachment by Three Different Load Cases Using the Finite Element Method of Stress Analysis. Journal of Orthodontics 27:1, pages 39-46.
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Articles from other publishers (30)

Tusar K. Nayak, Smruti B. Nanda, Abhik Sinha, Rururaj Pradhan, Snigdha Pattanaik & Subhrajeet N. Sahoo. (2022) Comparative evaluation of transpalatal arch and vertical holding appliance at different heights. Journal of Taibah University Medical Sciences 17:3, pages 401-407.
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Vaibhav Gandhi, Bill Luu, Rebecca Dresner, David Pierce & Madhur Upadhyay. (2021) Where is the center of resistance of a maxillary first molar? A 3-dimensional finite element analysis. American Journal of Orthodontics and Dentofacial Orthopedics 160:3, pages 442-450.e1.
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Parinaz Shokrani, Ata Hashemi, Mehdi Bostan Shirin & Iman Z. Oskui. (2020) Effect of geometric dimensions and material models of the periodontal ligament in orthodontic tooth movement. Orthodontics & Craniofacial Research 23:4, pages 404-412.
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Jian-lei Wu, Yun-feng Liu, Wei Peng, Hui-yue Dong & Jian-xing Zhang. (2018) A biomechanical case study on the optimal orthodontic force on the maxillary canine tooth based on finite element analysis基于有限元分析的上颌尖牙最佳正畸力的生物力学探究. Journal of Zhejiang University-SCIENCE B 19:7, pages 535-546.
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Luis Fernando Vargas Tamayo, Leonardo Emiro Contreras Bravo & Ricardo Augusto Ríos Linares. 2018. Computational Science and Its Applications – ICCSA 2018. Computational Science and Its Applications – ICCSA 2018 625 634 .
Xinwen Zhou, Zeyang Xia, Yangzhou Gan, Dongxia Zhang, Jing Xiong, Peng Fang, Guanglin Li & Qunfei Zhao. (2016) Orthodontic force simulation of Tooth-PDL-Bone Complex under archwire loading. Orthodontic force simulation of Tooth-PDL-Bone Complex under archwire loading.
C. H. Wang, J. K. Du, H. Y. Li, H. C. Chang & K. K. Chen. (2016) Factorial analysis of variables influencing mechanical characteristics of a post used to restore a root filled premolar using the finite element stress analysis combined with the Taguchi method. International Endodontic Journal 49:7, pages 690-699.
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L. Keilig, M. Drolshagen, K.L. Tran, I. Hasan, S. Reimann, J. Deschner, K.T. Brinkmann, R. Krause, M. Favino & C. Bourauel. (2016) In vivo measurements and numerical analysis of the biomechanical characteristics of the human periodontal ligament. Annals of Anatomy - Anatomischer Anzeiger 206, pages 80-88.
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Yongqing Cai, Xiaoxiang Yang, Bingwei He & Jun Yao. (2015) Finite element method analysis of the periodontal ligament in mandibular canine movement with transparent tooth correction treatment. BMC Oral Health 15:1.
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YONGQING CAI, XIAOXIANG YANG & BINGWEI HE. (2015) INFLUENCE OF FRICTION IN TRANSPARENT TOOTH CORRECTION TREATMENT: FINITE ELEMENT METHOD. Journal of Mechanics in Medicine and Biology 15:04, pages 1550052.
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Farzin Heravi, Soheil Salari, Behrad Tanbakuchi, Shaghayegh Loh & Motahare Amiri. (2013) Effects of crown-root angle on stress distribution in the maxillary central incisors’ PDL during application of intrusive and retraction forces: a three-dimensional finite element analysis. Progress in Orthodontics 14:1.
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Ted S. Fill, Roger W. Toogood, Paul W. Major & Jason P. Carey. (2012) Analytically determined mechanical properties of, and models for the periodontal ligament: Critical review of literature. Journal of Biomechanics 45:1, pages 9-16.
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Cristiane Aparecida de Assis ClaroJorge Abr?o, S?lvia Augusta Braga Reis & Dalva Cruz Lagan?. (2011) Distribui??o de tens?es em modelo fotoel?stico decorrente da intrus?o dos incisivos inferiores por meio do arco base de Ricketts. Dental Press Journal of Orthodontics 16:5, pages 89-97.
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M. Drolshagen, L. Keilig, I. Hasan, S. Reimann, J. Deschner, K.T. Brinkmann, R. Krause, M. Favino & C. Bourauel. (2011) Development of a novel intraoral measurement device to determine the biomechanical characteristics of the human periodontal ligament. Journal of Biomechanics 44:11, pages 2136-2143.
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Anirudh K Mathur, Anirban Sarmah, Vinaya S Pai & G Chandrashekar. (2011) Apical Force Distribution due to Orthodontic Forces: A Finite Element Study. The Journal of Contemporary Dental Practice 12:2, pages 104-108.
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Olga Panagiotopoulou, Kornelius Kupczik & Samuel N. Cobb. (2011) The mechanical function of the periodontal ligament in the macaque mandible: a validation and sensitivity study using finite element analysis. Journal of Anatomy 218:1, pages 75-86.
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Marzio Bergomi, Joël Cugnoni, Matteo Galli, John Botsis, Urs C. Belser & H.W. Anselm Wiskott. (2011) Hydro-mechanical coupling in the periodontal ligament: A porohyperelastic finite element model. Journal of Biomechanics 44:1, pages 34-38.
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L.M. Ren, W.X. Wang, Y. Takao & Z.X. Chen. (2010) Effects of cementum–dentine junction and cementum on the mechanical response of tooth supporting structure. Journal of Dentistry 38:11, pages 882-891.
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Lihe Qian, Mitsugu Todo, Yasuyuki Morita, Yasuyuki Matsushita & Kiyoshi Koyano. (2009) Deformation analysis of the periodontium considering the viscoelasticity of the periodontal ligament. Dental Materials 25:10, pages 1285-1292.
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Ansgar Hohmann, Uwe Wolfram, Martin Geiger, Andrew Boryor, Cornelia Kober, Christian Sander & Franz G?nter Sander. (2009) Correspondences of hydrostatic pressure in periodontal ligament with regions of root resorption: A clinical and a finite element study of the same human teeth. Computer Methods and Programs in Biomedicine 93:2, pages 155-161.
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Ansgar HohmannUwe Wolfram, Martin Geiger, Andrew Boryor, Christian Sander, Rolf Faltin, Kurt Faltin & Franz Guenter Sander. (2007) Periodontal Ligament Hydrostatic Pressure with Areas of Root Resorption after Application of a Continuous Torque Moment. The Angle Orthodontist 77:4, pages 653-659.
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Stephanie R Toms & Alan W Eberhardt. (2003) A nonlinear finite element analysis of the periodontal ligament under orthodontic tooth loading. American Journal of Orthodontics and Dentofacial Orthopedics 123:6, pages 657-665.
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Giulio Menicucci, Alexei Mossolov, Marco Mozzati, Massimo Lorenzetti & Giulio Preti. (2002) Tooth-implant connection: some biomechanical aspects based on finite element analyses. Clinical Oral Implants Research 13:3, pages 334-341.
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Joon-No Rhee, Youn-Sic Chun & Joon Row. (2001) A comparison between friction and frictionless mechanics with a new typodont simulation system. American Journal of Orthodontics and Dentofacial Orthopedics 119:3, pages 292-299.
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Jeremy Knox, Berislav Kralj, Pierre F. Hübsch, John Middleton & Malcolm L. Jones. (2001) An evaluation of the influence of orthodontic adhesive on the stresses generated in a bonded bracket finite element model. American Journal of Orthodontics and Dentofacial Orthopedics 119:1, pages 43-53.
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W D van Driel, E J van Leeuwen, J W Von den Hoff, J C Maltha & A M Kuijpers-Jagtman. (2016) Time-dependent mechanical behaviour of the periodontal ligament. Proceedings of the Institution of Mechanical Engineers, Part H: Journal of Engineering in Medicine 214:5, pages 497-504.
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J. S. Rees & P. H. Jacobsen. (2001) The effect of interfacial failure around a class V composite restoration analysed by the finite element method. Journal of Oral Rehabilitation 27:2, pages 111-116.
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T.W.P. Korioth & A. Versluis. (2016) Modeling the Mechanical Behavior of the Jaws and Their Related Structures By Finite Element (Fe) Analysis. Critical Reviews in Oral Biology & Medicine 8:1, pages 90-104.
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Cherilyn G. Sheets & James C. Earthman. (1997) Tooth intrusion in implant-assisted prostheses. The Journal of Prosthetic Dentistry 77:1, pages 39-45.
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Katsuyuki Yamamoto, Hajime Morikawa, Yoshiaki Satoh & Shinji Nakamura. 1996. Computational Biomechanics. Computational Biomechanics 115 134 .

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