Finite Element Analysis and Appliences in Endodontics
Yıl 2024,
Cilt: 10 Sayı: 2, 177 - 187, 16.08.2024
Alper Kabakçı
,
Ayça Yilmaz
Öz
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.
Kaynakça
- 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.
- Telli C, Gülkan P. Stress analysis during root canal
filling by vertical and lateral condensation procedures:
a three-dimensional finite element model of a maxillary
canine tooth. Br Dent J. 1998;185(2):79-86.
- Telli C, Gülkan P, Raab W. Additional studies on the
distribution of stresses during vertical compaction of
gutta-percha in the root canal. Br Dent J. 1999;187(1):32-
7.
Hong J, Xia WW, Xiong HG. [Analysis of the effect
on the stress of root canal wall by vertical and lateral
condensation procedures]. Shanghai Kou Qiang Yi Xue.
2003;12(5):359-61.
- Belli S, Eraslan O, Eskitascioglu G. Effect of
Root Filling on Stress Distribution in Premolars with
Endodontic-Periodontal Lesion: A Finite Elemental
Analysis Study. J Endod. 2016;42(1):150-5.
- Gümrükçü Z, Kurt S, Köse S. Effect of Root Resection
Length and Graft Type Used After Apical Resection:
A Finite Element Study. J Oral Maxillofac Surg.
2019;77(9):1770.e1-.e8.
- Ashi T, Richert R, Mancino D, Jmal H, Alkhouri S,
Addiego F, et al. Do the Mechanical Properties of Calcium-
Silicate-Based Cements Influence the Stress Distribution
of Different Retrograde Cavity Preparations? Materials
(Basel). 2023;16(8).
- Yoo YJ, Perinpanayagam H, Kim M, Zhu Q, Baek
SH, Kwon HB, Kum KY. Stress Distribution on Trephine-
Resected Root-end in Targeted Endodontic Microsurgery:
A Finite Element Analysis. J Endod. 2022;48(12):1517-
25.e1.
- Talati A, Disfani R, Afshar A, Fallah Rastegar A. Finite
element evaluation of stress distribution in mature and
immature teeth. Iran Endod J. 2007;2(2):47-53.
- Anthrayose P, Nawal RR, Yadav S, Talwar S, Yadav
S. Effect of revascularisation and apexification procedures
on biomechanical behaviour of immature maxillary central
incisor teeth: a three-dimensional finite element analysis
study. Clin Oral Investig. 2021;25(12):6671-9.
- Demirel A, Bezgin T, Sarı Ş. Effects of Root
Maturation and Thickness Variation in Coronal Mineral
Trioxide Aggregate Plugs Under Traumatic Load on Stress
Distribution in Regenerative Endodontic Procedures: A
3-dimensional Finite Element Analysis Study. J Endod.
2021;47(3):492-9.e4.
- Eram A, Zuber M, Keni LG, Kalburgi S, Naik R,
Bhandary S, et al. Finite element analysis of immature
teeth filled with MTA, Biodentine and Bioaggregate.
Comput Methods Programs Biomed. 2020;190:105356.
- Lertchirakarn V, Palamara JE, Messer HH. Patterns of
vertical root fracture: factors affecting stress distribution
in the root canal. J Endod. 2003;29(8):523-8.
- Lertchirakarn V, Palamara JE, Messer HH. Finite
element analysis and strain-gauge studies of vertical root
fracture. J Endod. 2003;29(8):529-34.
- Anantula K, Vankayala B, Yadav SS. A threedimensional
finite element analysis of stress distribution
in maxillary central incisor with a horizontal mid root
fracture after various management protocols. J Conserv
Dent. 2021;24(5):470-4.
- Zhou Y, Hu Z, Hu Y, Gao A, Pan X, Tang R, Lin Z.
Patterns of stress distribution of endodontically treated
molar under different types of loading using finite element
models-the exploring of mechanism of vertical root
fracture. J Mech Behav Biomed Mater. 2023;144:105947.
- Oskui IZ, Hashemi A, Jafarzadeh H, Kato A. Finite
element investigation of human maxillary incisor under
traumatic loading: Static vs dynamic analysis. Comput
Methods Programs Biomed. 2018;155:121-5.
- Dezzen-Gomide AC, de Carvalho MA, Lazari-
Carvalho PC, de Oliveira HF, Cury A, Yamamoto-Silva
FP, Silva BSF. A three-dimensional finite element analysis
of permanent maxillary central incisors in different stages
of root development and trauma settings. Comput Methods
Programs Biomed. 2021;207:106195.
- Vilela ABF, Soares PBF, Almeida GA, Veríssimo C,
Rodrigues MP, Versluis A, Soares CJ. Three-dimensional
finite element stress analysis of teeth adjacent to a
traumatized incisor. Dent Traumatol. 2019;35(2):128-34.
- Askerbeyli Örs S, Aksel H, Küçükkaya Eren S,
Serper A. Effect of perforation size and furcal lesion on
stress distribution in mandibular molars: a finite element
analysis. Int Endod J. 2019;52(3):377-84.
- Ozkurt-Kayahan Z, Turgut B, Akin H, Kayahan
MB, Kazazoglu E. A 3D finite element analysis of stress
distribution on different thicknesses of mineral trioxide
aggregate applied on various sizes of pulp perforation.
Clin Oral Investig. 2020;24(10):3477-83.
- Aslan T, Esim E, Üstün Y, Dönmez Özkan H.
Evaluation of Stress Distributions in Mandibular Molar
Teeth with Different Iatrogenic Root Perforations Repaired
with Biodentine or Mineral Trioxide Aggregate: A Finite
Element Analysis Study. J Endod. 2021;47(4):631-40.
- Celik E, Aydinlik E. Effect of a dilacerated root on
stress distribution to the tooth and supporting tissues. J
Prosthet Dent. 1991;65(6):771-7.
- Oyama K, Motoyoshi M, Hirabayashi M, Hosoi
K, Shimizu N. Effects of root morphology on stress
distribution at the root apex. Eur J Orthod. 2007;29(2):113-
7.
- Kishen A, Vedantam S. Hydromechanics in dentine:
role of dentinal tubules and hydrostatic pressure on
mechanical stress-strain distribution. Dent Mater.
2007;23(10):1296-306.
- Er O, Yaman SD, Hasan M. Finite element analysis
of the effects of thermal obturation in maxillary canine
teeth. Oral Surg Oral Med Oral Pathol Oral Radiol Endod.
2007;104(2):277-86.
- Zhou X, Chen Y, Wei X, Liu L, Zhang F, Shi Y, Wu
W. Heat transfers to periodontal tissues and gutta-percha
during thermoplasticized root canal obturation in a finite
element analysis model. Oral Surg Oral Med Oral Pathol
Oral Radiol Endod. 2010;110(2):257-63.
- Stănuși A, Popa DL, Ionescu M, Cumpătă CN,
Petrescu GS, Ţuculină MJ, et al. Analysis of Temperatures
Generated during Conventional Laser Irradiation of Root
Canals-A Finite Element Study. Diagnostics (Basel).
2023;13(10).
- Kim HC, Sung SY, Ha JH, Solomonov M, Lee JM, Lee
CJ, Kim BM. Stress generation during self-adjusting file
movement: minimally invasive instrumentation. J Endod.
2013;39(12):1572-5.
- Zelic K, Vukicevic A, Jovicic G, Aleksandrovic
S, Filipovic N, Djuric M. Mechanical weakening of
devitalized teeth: three-dimensional Finite Element
Analysis and prediction of tooth fracture. Int Endod J.
2015;48(9):850-63.
- Ni N, Ye J, Wang L, Shen S, Han L, Wang Y. Stress
distribution in a mandibular premolar after separated
nickel-titanium instrument removal and root canal
preparation: a three-dimensional finite element analysis.
J Int Med Res. 2019;47(4):1555-64.
- Askerbeyli Örs S, Küçükkaya Eren S. Effects of
different treatment modalities on biomechanical behavior
of maxillary incisors with external invasive cervical
resorption at different progression levels. Dent Traumatol.
2023;39(6):605-15.
- Rajawat A, Kaushik M. Stresses in Teeth with External
Cervical Resorption Defects Restored with Different
Biomimetic Cements: A Finite Element Analysis. J Endod.
2023;49(8):995-1003.
- Eskibağlar M, Erdem S, Kaman MO. Evaluation of the
effect of different rubber dam clamps on the mandibular
first molar with Finite element analysis. Comput Methods
Biomech Biomed Engin. 2023:1-10.
- Aslan T, Üstün Y, Esim E. Stress distributions in
internal resorption cavities restored with different
materials at different root levels: A finite element analysis
study. Aust Endod J. 2019;45(1):64-71.
- Durmus B, Hale AA, Oguz E, Sema B. The effect of
different irrigation protocols on elastic modulus of dentine
and biomechanics of single-rooted premolar tooth: A
nano-indentation and finite element analysis study. Niger
J Clin Pract. 2019;22(1):101-7.
- Kırmalı Ö, Türker N, Akar T, Yılmaz B. Finite element
analysis of stress distribution in autotransplanted molars.
J Dent. 2022;119:104082.
- Uzunoglu-Özyürek E, Küçükkaya Eren S, Eraslan
O, Belli S. Critical evaluation of fracture strength testing
for endodontically treated teeth: a finite element analysis
study. Restor Dent Endod. 2019;44(2):e15.
Sonlu Elemanlar Analizi ve Endodontideki Uygulamaları
Yıl 2024,
Cilt: 10 Sayı: 2, 177 - 187, 16.08.2024
Alper Kabakçı
,
Ayça Yilmaz
Öz
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.
Kaynakça
- 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.
- Telli C, Gülkan P. Stress analysis during root canal
filling by vertical and lateral condensation procedures:
a three-dimensional finite element model of a maxillary
canine tooth. Br Dent J. 1998;185(2):79-86.
- Telli C, Gülkan P, Raab W. Additional studies on the
distribution of stresses during vertical compaction of
gutta-percha in the root canal. Br Dent J. 1999;187(1):32-
7.
Hong J, Xia WW, Xiong HG. [Analysis of the effect
on the stress of root canal wall by vertical and lateral
condensation procedures]. Shanghai Kou Qiang Yi Xue.
2003;12(5):359-61.
- Belli S, Eraslan O, Eskitascioglu G. Effect of
Root Filling on Stress Distribution in Premolars with
Endodontic-Periodontal Lesion: A Finite Elemental
Analysis Study. J Endod. 2016;42(1):150-5.
- Gümrükçü Z, Kurt S, Köse S. Effect of Root Resection
Length and Graft Type Used After Apical Resection:
A Finite Element Study. J Oral Maxillofac Surg.
2019;77(9):1770.e1-.e8.
- Ashi T, Richert R, Mancino D, Jmal H, Alkhouri S,
Addiego F, et al. Do the Mechanical Properties of Calcium-
Silicate-Based Cements Influence the Stress Distribution
of Different Retrograde Cavity Preparations? Materials
(Basel). 2023;16(8).
- Yoo YJ, Perinpanayagam H, Kim M, Zhu Q, Baek
SH, Kwon HB, Kum KY. Stress Distribution on Trephine-
Resected Root-end in Targeted Endodontic Microsurgery:
A Finite Element Analysis. J Endod. 2022;48(12):1517-
25.e1.
- Talati A, Disfani R, Afshar A, Fallah Rastegar A. Finite
element evaluation of stress distribution in mature and
immature teeth. Iran Endod J. 2007;2(2):47-53.
- Anthrayose P, Nawal RR, Yadav S, Talwar S, Yadav
S. Effect of revascularisation and apexification procedures
on biomechanical behaviour of immature maxillary central
incisor teeth: a three-dimensional finite element analysis
study. Clin Oral Investig. 2021;25(12):6671-9.
- Demirel A, Bezgin T, Sarı Ş. Effects of Root
Maturation and Thickness Variation in Coronal Mineral
Trioxide Aggregate Plugs Under Traumatic Load on Stress
Distribution in Regenerative Endodontic Procedures: A
3-dimensional Finite Element Analysis Study. J Endod.
2021;47(3):492-9.e4.
- Eram A, Zuber M, Keni LG, Kalburgi S, Naik R,
Bhandary S, et al. Finite element analysis of immature
teeth filled with MTA, Biodentine and Bioaggregate.
Comput Methods Programs Biomed. 2020;190:105356.
- Lertchirakarn V, Palamara JE, Messer HH. Patterns of
vertical root fracture: factors affecting stress distribution
in the root canal. J Endod. 2003;29(8):523-8.
- Lertchirakarn V, Palamara JE, Messer HH. Finite
element analysis and strain-gauge studies of vertical root
fracture. J Endod. 2003;29(8):529-34.
- Anantula K, Vankayala B, Yadav SS. A threedimensional
finite element analysis of stress distribution
in maxillary central incisor with a horizontal mid root
fracture after various management protocols. J Conserv
Dent. 2021;24(5):470-4.
- Zhou Y, Hu Z, Hu Y, Gao A, Pan X, Tang R, Lin Z.
Patterns of stress distribution of endodontically treated
molar under different types of loading using finite element
models-the exploring of mechanism of vertical root
fracture. J Mech Behav Biomed Mater. 2023;144:105947.
- Oskui IZ, Hashemi A, Jafarzadeh H, Kato A. Finite
element investigation of human maxillary incisor under
traumatic loading: Static vs dynamic analysis. Comput
Methods Programs Biomed. 2018;155:121-5.
- Dezzen-Gomide AC, de Carvalho MA, Lazari-
Carvalho PC, de Oliveira HF, Cury A, Yamamoto-Silva
FP, Silva BSF. A three-dimensional finite element analysis
of permanent maxillary central incisors in different stages
of root development and trauma settings. Comput Methods
Programs Biomed. 2021;207:106195.
- Vilela ABF, Soares PBF, Almeida GA, Veríssimo C,
Rodrigues MP, Versluis A, Soares CJ. Three-dimensional
finite element stress analysis of teeth adjacent to a
traumatized incisor. Dent Traumatol. 2019;35(2):128-34.
- Askerbeyli Örs S, Aksel H, Küçükkaya Eren S,
Serper A. Effect of perforation size and furcal lesion on
stress distribution in mandibular molars: a finite element
analysis. Int Endod J. 2019;52(3):377-84.
- Ozkurt-Kayahan Z, Turgut B, Akin H, Kayahan
MB, Kazazoglu E. A 3D finite element analysis of stress
distribution on different thicknesses of mineral trioxide
aggregate applied on various sizes of pulp perforation.
Clin Oral Investig. 2020;24(10):3477-83.
- Aslan T, Esim E, Üstün Y, Dönmez Özkan H.
Evaluation of Stress Distributions in Mandibular Molar
Teeth with Different Iatrogenic Root Perforations Repaired
with Biodentine or Mineral Trioxide Aggregate: A Finite
Element Analysis Study. J Endod. 2021;47(4):631-40.
- Celik E, Aydinlik E. Effect of a dilacerated root on
stress distribution to the tooth and supporting tissues. J
Prosthet Dent. 1991;65(6):771-7.
- Oyama K, Motoyoshi M, Hirabayashi M, Hosoi
K, Shimizu N. Effects of root morphology on stress
distribution at the root apex. Eur J Orthod. 2007;29(2):113-
7.
- Kishen A, Vedantam S. Hydromechanics in dentine:
role of dentinal tubules and hydrostatic pressure on
mechanical stress-strain distribution. Dent Mater.
2007;23(10):1296-306.
- Er O, Yaman SD, Hasan M. Finite element analysis
of the effects of thermal obturation in maxillary canine
teeth. Oral Surg Oral Med Oral Pathol Oral Radiol Endod.
2007;104(2):277-86.
- Zhou X, Chen Y, Wei X, Liu L, Zhang F, Shi Y, Wu
W. Heat transfers to periodontal tissues and gutta-percha
during thermoplasticized root canal obturation in a finite
element analysis model. Oral Surg Oral Med Oral Pathol
Oral Radiol Endod. 2010;110(2):257-63.
- Stănuși A, Popa DL, Ionescu M, Cumpătă CN,
Petrescu GS, Ţuculină MJ, et al. Analysis of Temperatures
Generated during Conventional Laser Irradiation of Root
Canals-A Finite Element Study. Diagnostics (Basel).
2023;13(10).
- Kim HC, Sung SY, Ha JH, Solomonov M, Lee JM, Lee
CJ, Kim BM. Stress generation during self-adjusting file
movement: minimally invasive instrumentation. J Endod.
2013;39(12):1572-5.
- Zelic K, Vukicevic A, Jovicic G, Aleksandrovic
S, Filipovic N, Djuric M. Mechanical weakening of
devitalized teeth: three-dimensional Finite Element
Analysis and prediction of tooth fracture. Int Endod J.
2015;48(9):850-63.
- Ni N, Ye J, Wang L, Shen S, Han L, Wang Y. Stress
distribution in a mandibular premolar after separated
nickel-titanium instrument removal and root canal
preparation: a three-dimensional finite element analysis.
J Int Med Res. 2019;47(4):1555-64.
- Askerbeyli Örs S, Küçükkaya Eren S. Effects of
different treatment modalities on biomechanical behavior
of maxillary incisors with external invasive cervical
resorption at different progression levels. Dent Traumatol.
2023;39(6):605-15.
- Rajawat A, Kaushik M. Stresses in Teeth with External
Cervical Resorption Defects Restored with Different
Biomimetic Cements: A Finite Element Analysis. J Endod.
2023;49(8):995-1003.
- Eskibağlar M, Erdem S, Kaman MO. Evaluation of the
effect of different rubber dam clamps on the mandibular
first molar with Finite element analysis. Comput Methods
Biomech Biomed Engin. 2023:1-10.
- Aslan T, Üstün Y, Esim E. Stress distributions in
internal resorption cavities restored with different
materials at different root levels: A finite element analysis
study. Aust Endod J. 2019;45(1):64-71.
- Durmus B, Hale AA, Oguz E, Sema B. The effect of
different irrigation protocols on elastic modulus of dentine
and biomechanics of single-rooted premolar tooth: A
nano-indentation and finite element analysis study. Niger
J Clin Pract. 2019;22(1):101-7.
- Kırmalı Ö, Türker N, Akar T, Yılmaz B. Finite element
analysis of stress distribution in autotransplanted molars.
J Dent. 2022;119:104082.
- Uzunoglu-Özyürek E, Küçükkaya Eren S, Eraslan
O, Belli S. Critical evaluation of fracture strength testing
for endodontically treated teeth: a finite element analysis
study. Restor Dent Endod. 2019;44(2):e15.