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Finite Element Analysis and Appliences in Endodontics

Year 2024, Volume: 10 Issue: 2, 177 - 187, 16.08.2024

Abstract

Finite Element Analysis or Finite Element Method is based on the principle of dividing a structure into a finite number of small elements. Widely used in design optimization and structural analysis, it is a sophisticated engineering tool that first emerged in the aerospace industry to study stress in complex airframe structures. This method, which finds a numerical solution to a specific problem, is used to analyze stresses and strains in complex mechanical systems. In endodontic use, it provides mathematical transformation and analysis of the mechanical properties of teeth and surrounding tissues and the materials used. It is mainly useful for detecting mechanical aspects of materials and tissues that cannot be measured in vivo. It has several advantages, it is comparable to studies on real models, and tests can be repeated with accuracy and without ethical concerns. This manuscript introduce the finite element analysis and reviews the the studies carried out in the field of endodontics on this subject.

References

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  • Geng JP, Tan KB, Liu GR. Application of finite element analysis in implant dentistry: a review of the literature. J Prosthet Dent. 2001;85(6):585-98.
  • Tanne K, Sakuda M, Burstone CJ. Three-dimensional finite element analysis for stress in the periodontal tissue by orthodontic forces. Am J Orthod Dentofacial Orthop. 1987;92(6):499-505.
  • Boccaccio A, Uva AE, Fiorentino M, Monno G, Ballini A, Desiate A. Optimal Load for Bone Tissue Scaffolds with an Assigned Geometry. Int J Med Sci. 2018;15(1):16- 22.
  • Szucs A, Bujtar P, Sandor GK, Barabas J. Finite element analysis of the human mandible to assess the effect of removing an impacted third molar. J Can Dent Assoc. 2010;76:a72.
  • Saunders HA. Book Reviews : FINITE ELEMENT ANALYSIS FUNDAMENTALS R.H. Gallagher Prentice Hall, Inc., Englewood Cliffs, New Jersey (1975). The Shock and Vibration Digest. 1977;9:28-.
  • Yettram AL, Wright KW, Pickard HM. Finite element stress analysis of the crowns of normal and restored teeth. J Dent Res. 1976;55(6):1004-11.
  • Ritz W. Über eine neue Methode zur Lösung gewisser Variationsprobleme der mathematischen Physik. 1909;1909(135):1-61.
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  • Clough RW, editor The Finite Element Method in Plane Stress Analysis1960.
  • Thresher RW, Saito GE. The stress analysis of human teeth. J Biomech. 1973;6(5):443-9.
  • Farah JW, Craig RG. Finite element stress analysis of a restored axisymmetric first molar. J Dent Res. 1974;53(4):859-66.
  • Weinstein A, Klawitter J, Anand S, Schuessler R. Stress Analysis of Porous Rooted Dental Implants. Journal of dental research. 1976;55:772-7.
  • Mohammed H. Basic Concepts of Finite Element Analysis and its Applications in Dentistry: An Overview. Journal of Oral Hygiene & Health. 2014;02.
  • Hatheway A. Review of finite element analysis techniques: capabilities and limitations: SPIE; 1992.
  • Szwedowski TD, Whyne CM, Fialkov JA. Toward characterization of craniofacial biomechanics. J Craniofac Surg. 2010;21(1):202-7.
  • Pessoa RS, Muraru L, Junior EM, Vaz LG, Sloten JV, Duyck J, Jaecques SV. Influence of implant connection type on the biomechanical environment of immediately placed implants - CT-based nonlinear, three-dimensional finite element analysis. Clin Implant Dent Relat Res. 2010;12(3):219-34.
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  • Cen R, Wang R, Cheung GSP. Periodontal Blood Flow Protects the Alveolar Bone from Thermal Injury during Thermoplasticized Obturation: A Finite Element Analysis Study. J Endod. 2018;44(1):139-44.
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  • Viceconti M, Zannoni C, Testi D, Petrone M, Perticoni S, Quadrani P, et al. The multimod application framework: A rapid application development tool for computer aided medicine. Computer Methods and Programs in Biomedicine. 2007;85(2):138-51.
  • Reddy MS, Sundram R, Eid Abdemagyd HA. Application of Finite Element Model in Implant Dentistry: A Systematic Review. J Pharm Bioallied Sci. 2019;11(Suppl 2):S85-S91.
  • Mohammed S, Desai H. Basic concepts of finite element analysis and its applications in dentistry: An overview. Oral Hyg Health. 2014;2(156):2332-0702.1000156.
  • Chandrupatla T, Belegundu A. Introduction to finite elements in engineering: Cambridge University Press; 2021.
  • Doblaré M, Garcı́a JM, Gómez MJ. Modelling bone tissue fracture and healing: a review. Engineering Fracture Mechanics. 2004;71(13):1809-40.
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Sonlu Elemanlar Analizi ve Endodontideki Uygulamaları

Year 2024, Volume: 10 Issue: 2, 177 - 187, 16.08.2024

Abstract

Sonlu Elemanlar Analizi veya Sonlu Elemanlar Yöntemi, bir yapının sonlu sayıda küçük elemana bölünmesi prensibine dayanır. Tasarım optimizasyonunda ve yapısal analizde yaygın olarak kullanılan, ilk olarak havacılık endüstrisinde karmaşık uçak gövdesi yapılarındaki gerilimi incelemek için ortaya çıkan sofistike bir mühendislik aracıdır. Belirli bir soruna sayısal çözüm bulan bu yöntem karmaşık mekanik sistemlerdeki gerilimleri ve gerinimleri analiz etmek için kullanılır. Endodontik amaçlı kullanımda diş ve çevre dokuların ve kullanılan materyallerin mekanik özelliklerinin matematiksel dönüşümünü ve analizini sağlar. Ağırlıklı olarak materyallerin ve dokuların in vivo olarak ölçülemeyen mekanik yönlerini saptamak için yararlıdır. Çeşitli avantajları vardır, gerçek modeller üzerinde yapılan çalışmalarla karşılaştırılabilir ve testler doğrulukla ve etik kaygılar olmadan tekrarlanabilir. Bu makalede Sonlu Elemanlar Analizi yöntemi hakkında bilgi vermek ve bu konuda endodonti alanında yapılan çalışmaların derlenmesi amaçlanmıştır.

References

  • Marcián P, Wolff J, Horáčková L, Kaiser J, Zikmund T, Borák L. Micro finite element analysis of dental implants under different loading conditions. Computers in Biology and Medicine. 2018;96:157-65.
  • Gokhale N, Deshpande S, Bedekar S, Anand T. Practical finite element analysis. 1st ed: Finite To Infinite; 2008.
  • Zienkiewicz OC, Taylor RL. The finite element method. 5th ed. Oxford ; Boston: Butterworth-Heinemann; 2000.
  • Geramy A, Sharafoddin F. Abfraction: 3D analysis by means of the finite element method. Quintessence Int. 2003;34(7):526-33.
  • Geng JP, Tan KB, Liu GR. Application of finite element analysis in implant dentistry: a review of the literature. J Prosthet Dent. 2001;85(6):585-98.
  • Tanne K, Sakuda M, Burstone CJ. Three-dimensional finite element analysis for stress in the periodontal tissue by orthodontic forces. Am J Orthod Dentofacial Orthop. 1987;92(6):499-505.
  • Boccaccio A, Uva AE, Fiorentino M, Monno G, Ballini A, Desiate A. Optimal Load for Bone Tissue Scaffolds with an Assigned Geometry. Int J Med Sci. 2018;15(1):16- 22.
  • Szucs A, Bujtar P, Sandor GK, Barabas J. Finite element analysis of the human mandible to assess the effect of removing an impacted third molar. J Can Dent Assoc. 2010;76:a72.
  • Saunders HA. Book Reviews : FINITE ELEMENT ANALYSIS FUNDAMENTALS R.H. Gallagher Prentice Hall, Inc., Englewood Cliffs, New Jersey (1975). The Shock and Vibration Digest. 1977;9:28-.
  • Yettram AL, Wright KW, Pickard HM. Finite element stress analysis of the crowns of normal and restored teeth. J Dent Res. 1976;55(6):1004-11.
  • Ritz W. Über eine neue Methode zur Lösung gewisser Variationsprobleme der mathematischen Physik. 1909;1909(135):1-61.
  • Turner MJ. Stiffness and Deflection Analysis of Complex Structures. Journal of the Aeronautical Sciences. 1956;23:805-23.
  • Clough RW, editor The Finite Element Method in Plane Stress Analysis1960.
  • Thresher RW, Saito GE. The stress analysis of human teeth. J Biomech. 1973;6(5):443-9.
  • Farah JW, Craig RG. Finite element stress analysis of a restored axisymmetric first molar. J Dent Res. 1974;53(4):859-66.
  • Weinstein A, Klawitter J, Anand S, Schuessler R. Stress Analysis of Porous Rooted Dental Implants. Journal of dental research. 1976;55:772-7.
  • Mohammed H. Basic Concepts of Finite Element Analysis and its Applications in Dentistry: An Overview. Journal of Oral Hygiene & Health. 2014;02.
  • Hatheway A. Review of finite element analysis techniques: capabilities and limitations: SPIE; 1992.
  • Szwedowski TD, Whyne CM, Fialkov JA. Toward characterization of craniofacial biomechanics. J Craniofac Surg. 2010;21(1):202-7.
  • Pessoa RS, Muraru L, Junior EM, Vaz LG, Sloten JV, Duyck J, Jaecques SV. Influence of implant connection type on the biomechanical environment of immediately placed implants - CT-based nonlinear, three-dimensional finite element analysis. Clin Implant Dent Relat Res. 2010;12(3):219-34.
  • Lu S, Li T, Zhang Y, Lu C, Sun Y, Zhang J, Xu D. Biomechanical optimization of the diameter of distraction screw in distraction implant by three-dimensional finite element analysis. Computers in Biology and Medicine. 2013;43(11):1949-54.
  • Cen R, Wang R, Cheung GSP. Periodontal Blood Flow Protects the Alveolar Bone from Thermal Injury during Thermoplasticized Obturation: A Finite Element Analysis Study. J Endod. 2018;44(1):139-44.
  • Srirekha A, Bashetty K. Infinite to finite: an overview of finite element analysis. Indian J Dent Res. 2010;21(3):425-32.
  • Van Staden RC, Guan H, Loo YC. Application of the finite element method in dental implant research. Computer Methods in Biomechanics and Biomedical Engineering. 2006;9(4):257-70.
  • Shivakumar S, Kudagi VS, Talwade P. Applications of finite element analysis in dentistry: A review. Journal of International Oral Health. 2021;13:415 - 22.
  • Raposo LH, Armstrong SR, Maia RR, Qian F, Geraldeli S, Soares CJ. Effect of specimen gripping device, geometry and fixation method on microtensile bond strength, failure mode and stress distribution: laboratory and finite element analyses. Dent Mater. 2012;28(5):e50-62.
  • Vinod B, Saraswathi K. Finite Element Analysis and Its Applications in Dentistry. In: Mahboub B, editor. Finite Element Methods and Their Applications. Rijeka: IntechOpen; 2020. p. Ch. 8.
  • SUN J, JIAO T, TIE Y, WANG D. Three-dimensional finite element analysis of the application of attachment for obturator framework in unilateral maxillary defect. Journal of Oral Rehabilitation. 2008;35(9):695-9.
  • Gao J, Xu W, Ding Z. 3D finite element mesh generation of complicated tooth model based on CT slices. Comput Methods Programs Biomed. 2006;82(2):97-105.
  • Viceconti M, Zannoni C, Testi D, Petrone M, Perticoni S, Quadrani P, et al. The multimod application framework: A rapid application development tool for computer aided medicine. Computer Methods and Programs in Biomedicine. 2007;85(2):138-51.
  • Reddy MS, Sundram R, Eid Abdemagyd HA. Application of Finite Element Model in Implant Dentistry: A Systematic Review. J Pharm Bioallied Sci. 2019;11(Suppl 2):S85-S91.
  • Mohammed S, Desai H. Basic concepts of finite element analysis and its applications in dentistry: An overview. Oral Hyg Health. 2014;2(156):2332-0702.1000156.
  • Chandrupatla T, Belegundu A. Introduction to finite elements in engineering: Cambridge University Press; 2021.
  • Doblaré M, Garcı́a JM, Gómez MJ. Modelling bone tissue fracture and healing: a review. Engineering Fracture Mechanics. 2004;71(13):1809-40.
  • Liu S, Liu Y, Xu J, Rong Q, Pan S. Influence of occlusal contact and cusp inclination on the biomechanical character of a maxillary premolar: A finite element analysis. The Journal of Prosthetic Dentistry. 2014;112(5):1238-45.
  • O’Mahony AM, Williams JL, Spencer P. Anisotropic elasticity of cortical and cancellous bone in the posterior mandible increases peri-implant stress and strain under oblique loading. Clinical Oral Implants Research. 2001;12(6):648-57.
  • Gharechahi M, Moezzi S, Karimpour S. Comparative Analysis of Stress Distribution through Finite-Element Models of 3 NiTi Endodontic Instruments while Operating in Different Canal Types. J Dent (Shiraz). 2023;24(1):60- 5.
  • Bonessio N, Pereira ES, Lomiento G, Arias A, Bahia MG, Buono VT, Peters OA. Validated finite element analyses of WaveOne Endodontic Instruments: a comparison between M-Wire and NiTi alloys. Int Endod J. 2015;48(5):441-50.
  • Santos Lde A, Resende PD, Bahia MG, Buono VT. Effects of R-Phase on Mechanical Responses of a Nickel-Titanium Endodontic Instrument: Structural Characterization and Finite Element Analysis. ScientificWorldJournal. 2016;2016:7617493.
  • El-Anwar MI, Yousief SA, Kataia EM, El-Wahab TM. Finite Element Study on Continuous Rotating versus Reciprocating Nickel-Titanium Instruments. Braz Dent J. 2016;27(4):436-41.
  • Yuan L, Yue L, Wang JD. [A three-dimensional finite element analysis of 0.02 taper 20# stainless steel K files during root canal instrumentation]. Zhonghua Kou Qiang Yi Xue Za Zhi. 2007;42(6):346-8.
  • Nawar NN, Abdelfattah RA, Kataia M, Saber SM, Kataia EM, Kim HC. Effect of Proximal Caries-driven Access on the Biomechanical Behavior of Endodontically Treated Maxillary Premolars. J Endod. 2023;49(10):1337- 43.
  • Wang X, Wang D, Wang YR, Cheng XG, Ni LX, Wang W, Tian Y. Effect of access cavities on the biomechanics of mandibular molars: a finite element analysis. BMC Oral Health. 2023;23(1):196.
  • Nawar NN, Elkholy MMA, Ha WN, Saber SM, Kim HC. Optimum Shaping Parameters of the Middle Mesial Canal in Mandibular First Molars: A Finite Element Analysis Study. J Endod. 2023;49(5):567-74.
  • Rundquist BD, Versluis A. How does canal taper affect root stresses? Int Endod J. 2006;39(3):226-37.
  • Telli C, Gülkan P, Günel H. A critical reevaluation of stresses generated during vertical and lateral condensation of gutta-percha in the root canal. Endod Dent Traumatol. 1994;10(1):1-10.
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There are 82 citations in total.

Details

Primary Language Turkish
Subjects Endodontics
Journal Section Review
Authors

Alper Kabakçı 0000-0001-8985-1423

Ayça Yilmaz 0000-0002-9254-7710

Publication Date August 16, 2024
Submission Date November 16, 2023
Acceptance Date December 12, 2023
Published in Issue Year 2024 Volume: 10 Issue: 2

Cite

Vancouver Kabakçı A, Yilmaz A. Sonlu Elemanlar Analizi ve Endodontideki Uygulamaları. Aydin Dental Journal. 2024;10(2):177-8.

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