• 제목/요약/키워드: von-Mises Stress

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고정성 가공의치에서 이차 지대치에 발생하는 응력의 삼차원 유한요소법적 분석 (A STUDY OF THE STRESS DISTRIBUTION ON THE SECOND ABUTMENT AND SUPPORTING TISSUES IN FIXED PARTIAL DENTURE USING THREE DIMENSIONAL FINITE ELEMENT ANALYSIS METHOD)

  • 김정희;조광헌;이청희
    • 대한치과보철학회지
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    • 제38권5호
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    • pp.675-694
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    • 2000
  • The purpose of this study was to investigate the displacement of and the stress distribution on the prosthesis, abutment, and its supporting tissues under functional load, and the effect of alteration in root length of 2nd abutment. The 3-dimensional finite element method was used and the finite element models were prepared in which the abutments of left mandibular 5 unit axed partial denture were canine, the 1st pre-molar and the 2nd molar, and the root lengths of canines were as follows. Model I : Root length of canine was 2mm longer than the 1st premolar Model II : Root length of canine was 2mm shorter than the 1st premolar Static compressive force of 300N was applied to connector between 2nd premolar & 1st molar, and then von Mises stress, displacement and reaction force were obtained. The results were as follows : 1. In fixed partial denture, prosthesis under load on pontic was rotated around mesio-distal long axis of it from longual side to buccal, and simultaneously bended in buccal and gingival direction with mesial end deformed in gingival direction and distolingual end in occlusal. 2. Clinical crowns of abutments were bended in the same directions with those in which prosthesis deforms. Due to that, roots of anterior abutments were twisted in counterclockwise with concentration of shear stress on distal or distobuccal sides of their cervices, and that of posterior was in clockwise with concentration of shear stress on mesiobuccal side of it in the same level with anterior abutments. 3. In case that root length of the 2nd abutment was longer than that of the 1st abutment, its displacement and reaction force which means the force tooth exerts on the surrounding periodontal tissues were smaller but shear stress on itself was larger than in the case root length of 2nd abutment was shorter.

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고체산화물 연료전지 단위셀의 열응력에 관한 연구 (Investigation of a Thermal Stress for the Unit Cell of a Solid Oxide Fuel Cell)

  • 김영진;박상균;노길태;김만응
    • Journal of Advanced Marine Engineering and Technology
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    • 제35권4호
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    • pp.414-420
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    • 2011
  • 평균전류밀도 0~2000 $A/m^2$ 의 운전범위에 대한 음극 지지형 고체산화물 연료전지의 단위셀에 대한 열응력해석을 수행하였다. 평균전류밀도가 2000 $A/m^2$ 운전에서, 단위전지 열유동에 대한 수치해석적 방법으로 얻어진 온도분포를 토대로 구조해석을 수행하였다. 온도 편차가 매우 미미한 상태 에서 이러한 유체-구조 연성 해석 방법을 통하여 완전 결합된 조건에서 최대등가응력이 전해질은 262.58MPa, 캐소드는 28.55MPa, 애노드는 15.1MPa로 계산되어 전해질에서 가장 높은 응력이 발생함 을 알 수 있었다. 또한, 마찰접합조건인 경우 마찰계수가 증가함에 따라 응력이 증가함을 알 수 있었으며, 이는 셀 내부 물질간의 결합력에 의한 응력이 지배적임을 알 수 있었다.

Three dimensional finite element analysis of the stress distribution around the mandibular posterior implant during non-working movement according to the amount of cantilever

  • Park, Ji-Man;Kim, Hyun-Joo;Park, Eun-Jin;Kim, Myung-Rae;Kim, Sun-Jong
    • The Journal of Advanced Prosthodontics
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    • 제6권5호
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    • pp.361-371
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    • 2014
  • PURPOSE. In case of large horizontal discrepancy of alveolar ridge due to severe resorption, cantilevered crown is usually an unavoidable treatment modality. The purpose of this study was to evaluate the clinical criteria for the placement of the aforementioned implant crown. MATERIALS AND METHODS. The mandible model with 2 mm thick cortical bone and cancellous bone was fabricated from CT cross-section image. An external connection type implant was installed and cantilevered crowns with increasing offset of 3, 4, 5, 6, and 7 mm were connected. Vertical load and $30^{\circ}$ oblique load of 300 N was applied and stress around bone and implant component was analyzed. A total of 14 cases were modeled and finite element analysis was performed using COSMOS Works (Solid works Inc, USA). RESULTS. As for the location of the vertical load, the maximum stress generated on the lingual side of the implant became larger according to the increase of offset distance. When the oblique load was applied at $30^{\circ}$, the maximum stress was generated on the buccal side and its magnitude gradually decreased as the distance of the offset load increased to 5 mm. After that point, the magnitude of implant component's stress increased gradually. CONCLUSION. The results of this study suggest that for the patient with atrophied alveolar ridge following the loss of molar teeth, von-Mises stress on implant components was the lowest under the $30^{\circ}$ oblique load at the 5 mm offset point. Further studies for the various crown height and numbers of occusal points are needed to generalize the conclusion of present study.

치과용 임플란트 지대주나사의 조임체결력에 따른 지지골과 지대주나사의 유한요소법 응력 분석 (A finite element stress analysis on the supporting bone and abutment screw by tightening torque of dental implant abutment screw)

  • 이명곤
    • 대한치과기공학회지
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    • 제42권2호
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    • pp.99-105
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    • 2020
  • Purpose: A study analysed the stress distribution of abutment screw and supporting bone of fixture by the tightening torque force of the abutment screw within clinical treatment situation for the stability of the dental implant prosthesis. Methods: The finite element analysis was targeted to the mandibular molar crown model, and the implant was internal type 4.0 mm diameter, 10.0 mm length fixture and abutment screw and supporting bone. The occlusal surface was modeled in 4 cusps and loaded 100 N to the buccal cusps. The connection between the abutment and the fixture was achieved by combining three abutment tightening torque forces of 20, 25, and 30 Ncm. Results: The results showed that the maximum stress value of the supporting bone was found in the buccal cortical bone region of the fixture in all models. The von Mises stress value of each model showed 184.5 MPa at the 20 Ncm model, 195.3 MPa in the 25 Ncm model, and 216.5 MPa in the 30 Ncm model. The contact stress between the abutment and the abutment screw showed the stress value in the 20 Ncm model was 201.2 MPa, and the 245.5 MPa in the 25 Ncm model and 314.0 MPa in the 30 Ncm model. Conclusion: The increase of tightening force within the clinical range of the abutment screw of the implant dental prosthesis was found to have no problem with the stability of the supporting bone and the abutment screw.

경사하중에 따른 시멘트 유지형 임플란트 지지골의 유한요소법 응력 분포 (Finite Element Analysis of Stress Distribution on Supporting Bone of Cement Retained Implant by Oblique Loading)

  • 이명곤
    • 한국콘텐츠학회논문지
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    • 제14권9호
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    • pp.343-349
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    • 2014
  • 본 연구는 치과 임상에서 사용하고 있는 시멘트 유지형 치과용 임플란트의 지지골 응력 분포 안정성을 확인하고자 시행하였다. 모델링과 유한요소 응력 분석은 유한요소 해석 프로그램인 Solidworks를 사용하였고, 시멘트 유지형 임플란트 시스템인 지대주와 고정체를 연결하는 지대주 나사를 20 Ncm 나사조임력에 의한 결합조건을 적용시킨 단관 모델을 제작하고, 설측에서 협측으로의 $45^{\circ}$ 경사로 100 N 크기 외부하중을 가하여 지지골 응력 분포 해석을 실시하였다. 경사하중에 따른 임플란트 고정체의 지지골 응력 크기와 분포를 파악하기 위한 유한요소법 분석을 통해 다음 결과를 얻었다. 고정체 직경, 길이의 조건에 관계없이 임플란트 고정체 상부와 골 접촉부인 치밀골에 응력이 집중되는 양상으로 나타났고, 고정체 길이 증가로 인한 응력 감소 폭보다 직경 증가로 인한 감소폭이 큰 것으로 나타났다 따라서 본 연구 결과는 지지골 형태 조건에 대하여 가능한 큰 직경의 고정체 사용이 효과적이라고 판단된다.

임프란트와 지대주 간 내측 연결을 갖는 2종의 임프란트에서 저작압이 임프란트 주위골 내응력 분포에 미치는 영향에 관한 연구 (Study on the stress distribution around two types of implants with an internal connection by finite element analysis)

  • 유미경;임성빈;정진형;홍기석
    • Journal of Periodontal and Implant Science
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    • 제36권2호
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    • pp.473-488
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    • 2006
  • Adequate bone quality and stress distribution to the bone are of decisive importance for implant success. Even though the success rates of dental implants have been high, implant failures do occur. Overloading has been identified as a primary factor behind dental implant failure. The purpose of this study was to theoretically investigate the effect of two types of implants on the stress distribution in poor bone quality. Employing the finite element method, the study modeled a 4.1 mm diameter, 12.0 mm length implant placed in cortical or spongeous bone. A static loading of lOON was applied at the occlusal surface at 0, 30 degrees angle to the vertical axis of the implant. von Mises stresses concentrations in the supporting bone were analyzed with finite element analysis program. The results were as follows; 1. The stresses at the marginal bone were higher under buccal oblique load(30 degrees off of the long axis) than under vertical load. 2. Under buccal oblique load, the stresses were higher at the lingual marginal bone than at the buccal marginal bone, and the differences were almost the same. 3, Under vertical and oblique load, the stress was the highest at the marginal bone and lowest at the bone around apical portions of implant in cortical bone. 4, Under vertical load, Model 1 showed more effective stress distribution than Model 2 irrespective of bone types. On the other hand, Model 2 showed lower stress concentration than Model 1 under buccal oblique load.

지르코니아 및 티타늄 고정체 소재가 지대주 나사의 응력 분포에 미치는 영향: 3차원 유한 요소 분석 (Influence of zirconia and titanium fixture materials on stress distribution in abutment screws: a three-dimensional finite element analysis)

  • 김은영;홍민호
    • 대한치과기공학회지
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    • 제43권2호
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    • pp.42-47
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    • 2021
  • Purpose: The purpose of this study was to evaluate the stability of abutment screws used with the zirconia fixture-based implant system and compare them with those used with the existing titanium fixture system via the finite element method. Methods: A single implant-supported restoration was designed for the finite element analysis. A universal analysis program was used to set 8 occlusal points along the direction to the long axis of the implant, and an occlusal load of 700 N was applied. Results: In all models (Zir and Ti-fixture model), the screw threads presented with the highest von Mises stress (VMS) values, whereas the head and end presented with the lowest VMS values. The VMS of the screw used in the zirconia-fixture model was 5.97% lower than that used in the titanium-fixture model (261.258 vs. 276.911 MPa, respectively) despite statistical significance. Furthermore, the zirconia fixture (352.912 MPa) had a higher stress value (8.42%) than the titanium fixture (332.331 MPa). In a completely tightened titanium fixture implant system, the stress was concentrated in the implant-abutment connection interface, the zirconia fixture presented with a stable stress distribution. Conclusion: Although the zirconia fixture demonstrated a high VMS value, owing to the stiffness and elasticity coefficients of the material, the stress generated in the abutment screws was similar in all models. In conclusion, the zirconia fixture-based implant system presented with a more stable stress distribution in the abutment screws than the titanium fixture-based implant system.

하악피개의치에서 임플랜트의 식립각도에 따른 칸틸레버 길이의 감소효과가 응력분포 양상에 미치는 영향 -삼차원 유한요소법을 이용한 분석- (FINITE ELEMENT ANALYSIS OF THE EFFECT OF CANTILEVER AND IMPLANT ORIENTATION ON STRESS DISTRIBUTION IN A MANDIBULAR IMPLANT-SUPPORTED BAR OVERDENTURE)

  • 박준수;이성복;권긍록;우이형
    • 대한치과보철학회지
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    • 제45권4호
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    • pp.444-456
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    • 2007
  • Statement of problem: Implant inclination and cantilever loading increse loads distributed to implants, potentially causing biomechanical complications. Controversy exists regarding the effect of the intentionally distal-inclined implant for the reduction of the cantilever length. Purpose: This study investigated the stress distribution at the bone/implant interface and prostheses with 3D finite element stress analysis by using four different cantilever lengths and implant inclinations in a mandibular implant-supported bar overdenture. Material and methods: Four 3-D finite element models were created in which 4 implants were placed in the interforaminal area and had four different cantilver lengths(10, 6.9, 4 and 1.5mm) and distal implant inclinations$(0^{\circ},\;15^{\circ},\;30^{\circ}\;and\;45^{\circ})$ respectively. Vortical forces of 120N and oblique forces of 45N were applied to the molar area. Stress distribution in the bone around the implant was analysed under different distal implant inclinations. Results: Analysis of the von Mises stresses for the bone/implant interfaces and prostheses revealed that the maximum stresses occurred at the most distal bone/implant interface and the joint of bar and abutment, located on the loaded side and significantly incresed with the implant inclinations, especially over $45^{\circ}$. Conclusion: Within the limitations of this study, it was suggested that too much distal inclination over 45 degrees can put the implant at risk of overload and within the dimension of the constant sum of a anterior-posterior spread and cantilever length, a distal implant inclination compared to cantilever length had the much larger effect on the stress distribution at the bone/implant interface.

Three-dimensional finite element analysis of the splinted implant prosthesis in a reconstructed mandible

  • Heo, Kyung-Hoi;Lim, Young-Jun;Kim, Myung-Joo;Kwon, Ho-Beom
    • The Journal of Advanced Prosthodontics
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    • 제10권2호
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    • pp.138-146
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    • 2018
  • PURPOSE. The purpose of this study was to analyze the effects of the splinted implant prosthesis in a reconstructed mandible using three-dimensional finite element analysis. MATERIALS AND METHODS. Three-dimensional finite element models were generated from a patient's computed tomography data. The patient had undergone partial resection of the mandible that covered the area from the left canine to the right condyle. The mandible was reconstructed using a fibula bone graft and dental implants. The left mandibular premolars and molars remained intact. Three types of models were created. The implant-supported prosthesis was splinted and segmented into two or three pieces. Each of these models was further subcategorized into two situations to compare the stress distribution around normal teeth and implants. Oblique loading of 300 N was applied on both sides of the mandible unilaterally. The maximum von Mises stress and displacement of the models were analyzed. RESULTS. The stress distribution of the natural mandible was more uniform than that of the reconstructed fibula. When the loading was applied to the implant prosthesis of reconstructed fibula, stress was concentrated at the cortical bone around the neck of the implants. The three-piece prosthesis model showed less uniform stress distribution compared to the others. Displacement of the components was positively correlated with the distance from areas of muscle attachment. The three-piece prosthesis model showed the greatest displacement. CONCLUSION. The splinted implant prosthesis showed a more favorable stress distribution and less displacement than the separated models in the reconstructed mandible.

변형률 경화를 고려한 오버레이 모델의 재료비선형 수치해석기법 (Numerical Analysis Method of Overlay Model for Material Nonlinearity Considering Strain Hardening)

  • 백기열
    • 한국강구조학회 논문집
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    • 제19권3호
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    • pp.291-301
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    • 2007
  • 재료비선형 수치해석기법 중, 오버레이 모델은 같은 평면상에 여러 개의 레이어를 배치해 각 레이어의 평균한 값을 모델 전체의 값으로 사용하는 원리를 사용하는 모델로서 구성레이어의 변형률 경화계수, 단면적 및 항복응력 등을 파라메타로 설정함으로써 바우싱거 효과 및 변형률 경화현상을 표현하기에 적합한 모델지만, 응력-변형률관계의 기하학적 특징을 직접적으로 근사하기 위한 파라메타의 설정이 복잡하다는 단점이 있다. 본 논문에서는 평면응력상태를 대상으로 하며, 변형률 경화를 고려한 오버레이 모델의 정식화를 열역학을 사용하여 구체적으로 정의한다. 수치해석에 있어 전체적인 해석파라메타로서는 항복응력분포만을 고려하였으며, 항복응력분포의 설정 방법 및 그에 따른 항복응력분포함수의 p, q, r값을 정성적으로 비교분석한다. 최종적으로 탄소강과 합금강에 대한 일축, 다축응력의 실험결과와 제안한 수치해석기법의 해석결과를 비교하여 타당성을 검토한다.