Journal of Dental Rehabilitation and Applied Science (구강회복응용과학지)

Korean Academy of Stomatognathic Function and Occlusion (대한턱관절교합학회)
권호 표지

Finite Element Analysis of Stress Distribution in using Face Mask according to Traction Point

훼이스 마스크의 견인위치에 따른 응력분포에 관한 유한요소법적 연구

  • Oh, Kyo-chang (Department of Orthodontics, School of Dentistry, Dankook University) ;
  • Cha, Kyung-Suk (Department of Orthodontics, School of Dentistry, Dankook University) ;
  • Chung, Dong-hwa (Department of Orthodontics, School of Dentistry, Dankook University)
  • 오교창 (단국대학교 치과대학 교정학교실) ;
  • 차경석 (단국대학교 치과대학 교정학교실) ;
  • 정동화 (단국대학교 치과대학 교정학교실)
  • Received : 2009.02.10
  • Accepted : 2009.06.25
  • Published : 2009.06.30
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Abstract

The objective of this study was to analyse stress distribution of maxillary complex by use of face mask. The construction of the three-dimensional FEM model was based on the computed tomography(CT) scans of 13.5 years-old male subject. The CT image were digitized and converted to the finite element model by using the mimics program, with PATRAN. An anteriorly directed force of 500g was applied at the first premolar 45 degrees downwards to the FH plane and at the first molar 20 degrees downwards to the FH plane. When 45 degrees force was applied at maxillary first premolar, there were observed expansion at molar part and constriction at premolar part. The largest displacement was 0.00011mm in the x-axis. In the y-axis, anterior displacement observed generally 0.00030mm at maximum. In the z-axis, maxillary complex was displaced 0.00036 mm forward and downward. When 20 degrees force was applied at maxilla first molar, there were observed expansion at lateral nasal wall and constriction at molar part. The largest displacement was 0.001mm in the X-axis. In the Y-axis, anterior displacement observed generally 0.004mm at maximum. In the Z-axis, ANS was displaced upward and pterygoid complex was displaced downward. The largest displacement was 0.002mm.

훼이스 마스크(Face mask)를 사용하여 상악을 견인하였을 때, 두개안면 복합체의 생역학적 반응을 이해하는 것은 임상적으로 매우 중요하다. 이 연구의 목적은 face mask를 사용하여 상악 제 1 소구치와 제 1 대구치에서 상악을 전방으로 견인하였을 때 두개봉합구조에 발생하는 응력 분포를 분석하는 것이다. 13세 6개월 된 남자 환자의 유한요소분석을 위하여 전산화단층사진 촬영으로 얻은 DICOM 영상정보를 개인용 컴퓨터로 옮긴 후 3차원 영상프로그램인 $Mimics^{(R)}$(Materialise, Germany)를 사용하여 얻은 24개의 물성으로 이루어진 상악모델과, 제1소구치와 제1대구치, RME의 협측부, RME의 설측부의 4가지 구성요소를 각기 Nastran 파일형식인 "out"으로 저장하고 Patran에서 합체한 두개안면 복합체의 3차원적 유한요소모델을 생성하였다. 생성된 모델은 제1소구치에서 FH 평면의 45도 하방으로, 제 1 대구치에서 FH 평면의 20도 하방으로 500g의 전방견인력을 주었다. 상악 제1소구치에서 45도 하방으로 견인하였을 때 x축에서는 대구치부위의 확장과 소구치부에서의 협착을 보였고 최대변위량은 0.00011mm였다. y축에서는 전반적으로 전방이동을 보였으며 최대 0.00030mm의 변위와 소구치부위의 변형이 컸다. z축에는 소구치부위에서 하방으로 최 0.00036mm 이동했고, 상악복합체가 전하방으로 이동하였다. 제 1 대구치에서의 20도 하방견인 하였을 때, x축에서는 대구치부위의 협착과 lateral nasal wall의 확장을 보이며 최대 변위는 0.001mm였다. y축에서는 전체적인 전방이동을 보이며, 최대변위는 0.004mm였다. z축에서는 소구치와 대구치 중간부위를 중심으로 ANS는 상방으로 pterygoid plate는 하방으로 반시계방향의 회전양상을 보였으며 최대변위는 0.002mm였다.

Keywords

References

  1. 양원식. 최근 10년간 서울대학교병원 교정과에 내원한 부정교합 환자에 대한 고찰. 대치교정지 1995;25:497-509
  2. 곡덕부, 박동옥, 경희문, 권오원, 성재현. 경북대학교병원 교정과에 내원한 부정교합환자의 분포 및 변동추이. 대치교정지 1989;19:35-47
  3. 채종문. 경북대학교병원 교정과에 내원한 부정교합환자의 분포 및 변동 추이, 경북치대논문집 1997;14:821-55
  4. 임동혁, 김태우, 남동석, 장영일. 서울대학교치과병원 교정과에 내원한 부정교합자의 최근경향, 대치교정지 2003;33:63-72
  5. Susami R. A cephalometric evaluation of dentofacial growth in mandibular protrusion subjects. J Osaka Univ Dent Sch 1969;9:25-35
  6. Ohyama Y, Sakuda M. A longitudinal cephalometric study on craniofacial growth of the orthodontically treated patients with mandibular prognathism. J Osaka Univ Dent Sch 1982;22:175-91
  7. Bell R.A. The effects of maxillary expansion using a quadhelix appliance during the deciduous and mixed dentitions. Am J Orthod 1981;79:152-62 https://doi.org/10.1016/0002-9416(81)90313-4
  8. Jacobson A, Evans WG, Preston CB, sadowsky PL. Mandibular prognathism. Am J Orthod 1974; 66:140-71 https://doi.org/10.1016/0002-9416(74)90233-4
  9. Guyer EC, Ellis EE, McNamara JA, Behrents RG. Components of class III malocclusion in juvenile and adolescents. Angle Orthod 1986;56:7-30
  10. Sue GY, Chaconas SJ, Turley PK, Ito JK. Indicator of skeletal Class III growth J. Dental Res. special issue 1987:348
  11. Itoh T, Chaconas SJ, Caputo AA, Matyas I. Photoelastic effects of maxillary protraction on the craniofacial complex. Am J Orthod 1985;88:117-24 https://doi.org/10.1016/0002-9416(85)90235-0
  12. Hata S. Itoh T, Nakagawa K, Kamogashira K, et. al. Biomechanical effects of maxillary protraction on the craniofacial complex. Am J Orthod Dentofac Orthop 1987;91:305-11 https://doi.org/10.1016/0889-5406(87)90171-5
  13. Irie M, Nakamura S. Orthopedic approach to severe skeletal class III malocclusion. Am J orthod 1975;67:377-92 https://doi.org/10.1016/0002-9416(75)90020-2
  14. Kambara T. Dentofacial changes produced by extraoral forward force in the Macaca irus. Am J Orthod 1977;71:249-76 https://doi.org/10.1016/0002-9416(77)90187-7
  15. Jackson GW, Kokich VG. Experimental and post-experimental response to anteriorly directed extraoral force in young Macaca Ninestrina. Am J Orthod 1979;75:318-33 https://doi.org/10.1016/0002-9416(79)90278-1
  16. Cattaneo PM, MSc, Dalstra M, Melsen B. The transfer of occlusal forces through the maxillary molars: a finite element study. Am J Orthod Dentofacial Orthop 2003;123:367-73 https://doi.org/10.1067/mod.2003.73
  17. Esses SI, Lotz JC, Hayes WC. Biomechanical properties of the proximal femur determined in vitro by single-energy quantitative computed tomography. J Bone Miner Res 1989;4:715-21 https://doi.org/10.1002/jbmr.5650040510
  18. Harp JH, Aronson J and Hollis, M. Non invasive determination of bone stiffness for distraction osteogeonesis by computed tomography scans. Clin Orthop 1994;301:42-8
  19. Mitani H, Fukazawa H. Effect of chincap force on the timing and amount of mandibular growth associated with anterior reversed occlusion (class III malocclusion) during puberty. Am J Orthod Dentofac Orthop 1986;90:454-63 https://doi.org/10.1016/0889-5406(86)90105-8
  20. Delaire J. La croissance maxillary deductions therapeutiques, Trans. Eur Orthod Soc 1973;81:102
  21. Ngan PW, Hagg U, Yiu C, Wei S, et. al. Treatment response and long-term dentofacial adaptations to maxillary expansion and protraction. Semin Orthod 1997;3(4):255-64 https://doi.org/10.1016/S1073-8746(97)80058-8
  22. Kokich VG, Shapiro PA. Ankylosed teeth as abutments for maxillary protraction a case report. Am J Orthod 1985;88:303-7 https://doi.org/10.1016/0002-9416(85)90129-0
  23. Tanne K, Hiraga J, Kakiuchi K, Yamagata Y, et. al. Biomechanical effect of anteriorly directed extraoral forces on the craniofacial complex: a study using the finite element method. Am J Orthod Dentofacial Orthop 1989;95:200-7 https://doi.org/10.1016/0889-5406(89)90050-4
  24. Miyasaka-Hiraga J, Tanne K, Nakamura S. Finite element analysis for stresses in the craniofacial sutures produced by maxillary protraction forces applied at the upper canines. Br J Orthod 1994;21: 343-8 https://doi.org/10.1179/bjo.21.4.343
  25. Cattaneo PM, Dalstra M, Frich LH. A three- dimensional finite element model from computed tomography data: a semi-automated method. Proc Inst Mech Eng [H] 2001;215:203-13
  26. Tanne K, Sakuda M. Biomechanical and clinical changes of the craniofacial complex from orthopedic maxillary protraction. Angle Orthod Vol. 61 No. 2
  27. Tanne K, Hiraga J, Sakuda M. Effects of directions of maxillary protraction forces on biomechanical changes in craniofacial complex. Eur J Orthod 1989;11(4):382-91 https://doi.org/10.1093/oxfordjournals.ejo.a036010
  28. Tanabe T. Experimental study on displacement of the maxillary complex produced by extraoral forward traction. J Jpn Orthod Soc. 1983;42:322-35
  29. Nakagawa M, Ichikawa K. Biomechanical effects of maxillary protraction on the craniofacial complex on the strain gauge measurements. J Jpn Orthod Soc 1986;45:109-18
  30. Miki Y, Kuroda Y, Tokizane C. Application of maxillary forward traction device in skeletal Class III malocclusion cases. J Jpn Orthod Soc 1985;44: 144-59
  31. Proffit WR. Contemporary orthodontics. St. Louis:Mosby-Year Book; 1992
  32. Hirato R. An experimental study on the center of resistance of nasomaxillary complex - Two dimensional analysis on the coronal plane of the dry skull. J Tokyo Dent Coll 1984;84:1225-662
  33. Canut JA, Dalmases F. Effects of maxillary protraction determined by laser metrology. Europ J Orthod 1990;12:340-45 https://doi.org/10.1093/ejo/12.3.340
  34. Nakano H, Miura H. The upper jaw forward traction method using the removable apparatus. J Jpn Orthod Soc 1980;39:239-45
  35. Takada K, Petdachai S, Sakuda M. Changes in dento-facial morphology in skeletal Class III children treated by a modified maxillary protraction headgear and chin cup. A longitudinal cephalometric appraisal. Europ J Orthod 1993;15:211-21 https://doi.org/10.1093/ejo/15.3.211
  36. Ishii H, Morita S. Treatment effect of combined maxillary protraction and chincap appliance in severe class III cases. Am J Orthod Dentofacial Orthop 1987;92:304-12 https://doi.org/10.1016/0889-5406(87)90331-3
  37. Ichikawa K., Nakagawa M. The effects of orthopedic forces on the craniofacial complex utilizing maxillary protraction. J Jpn Orthod Soc 1984;43:325-36
  38. 강홍석, 유영규. 상악 전방견인시 악안면골의 초기 반응에 관한 Laser Holography 연구. 대치교정지 1988;18:367-81
  39. Schwartz-Dabney CL, Dechow PC. Variations in cortical material properties throughout the human dentate mandible. Am J Phys Anthropol 2003;120:252-77 https://doi.org/10.1002/ajpa.10121
  40. Peterson J, Dechow PC. Material properties of the human cranial vault and zygoma. Anat Rec A Discov Mol Cell Evol Biol 2003;274:785-97