• 제목/요약/키워드: Finite elements method

검색결과 1,595건 처리시간 0.027초

금인레이 와동의 폭경에 따른 응력분포와 변위에 관한 유한요소법적 연구 (A FINITE ELEMENT ANALYSIS ON STRESS AND DISPLACEMENT ACCORDING TO ISTHMUS WIDTH OF GOLD INLAY CAVITY)

  • 신강석;조영곤;황호길
    • Restorative Dentistry and Endodontics
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    • 제18권2호
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    • pp.395-411
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    • 1993
  • The purpose of this study was to examine the clear concept of the designs for cavity preparations. Among the several parameters in cavity designs, profound understanding of isthmus width factor would facilitate selection of the appropriate cavity preparation for a specific clinical situation. In this study, the cavities were prepared on maxillary first premolar and filled with gold inaly. A two - dimensional model was composed of 1037 - node triangle elements. In this model, isthmus was varied in width at 1/4, 1/3 and 1/2 of intercuspal width and material properties were given for four element groups, i.e., enamel, dentin, pulp and gold. The 500N occlusal load varied in direction and it was examined using three types of load : concentrated load, divided load and distributed load. The models were also examined with empty cavities using the devided load and distributed load. These models were analyzed the displacement and strees distribution by the two - dimensional Finite Element Method. The results were as follows : 1. All experimental models which filled with gold inlay after cavity preparation were similar direction of displacement with control model under same load type. But in the models with empty cavities, as isthmus width was wider, the degree of displacement was increased at same load type. 2. Among the experimental models which were filled with gold inaly after cavity preparation, the model II showed the least stress concentration under concentrated load and divided load. But in the models with empty cavities, the model III showed the largest stress concentration and tooth fracture is expected regardless isthmus width. 3. All experimental models showed similar displacement pattern beneath restorative material under a concentrated load. In the models with empty cavities, a divided load resulted in a lingual displacement of the lingual cusp, but a distributed load resulted in a buccal displacement of the lingual cusp. In regard to the above results, the restored models were stronger than empty models in respect to the bending moment and tensile stress. The empty models are expected to fracture regardless isthmus width. The safest isthmus width was 1/3 of intercuspal distance, which showed the least stress concentration in respect to the effect of stress distribution.

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재생된 골에 식립한 넓은 직경의 나사형 임플란트에 대한 유한요소법적 분석 (FINITE ELEMENT ANALYSIS OF WIDE DIAMETER SCREW IMPLANT PLACED INTO REGENERATED BONE)

  • 김수관;김재덕;김종관;김병옥
    • Journal of the Korean Association of Oral and Maxillofacial Surgeons
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    • 제31권3호
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    • pp.248-254
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    • 2005
  • The purpose of this study was to investigate the distribution of stress within the regenerated bone surrounding the implant using three dimensional finite element stress analysis method. Using ANSYS software revision 6.0 (IronCAD LLC, USA), a program was written to generate a model simulating a cylindrical block section of the mandible 20 mm in height and 10 mm in diameter. The $5.0{\times}11.5-mm$ screw implant (3i, USA) was used for this study, and was assumed to be 100% osseointegrated. And it was restored with gold crown with resin filling at the central fossa area. The implant was surrounded by the regenerated type IV bone, with 4 mm in width and 7 mm apical to the platform of implant in length. And the regenerated bone was surrounded by type I, type II, and type III bone, respectively. The present study used a fine grid model incorporating elements between 250,820 and 352,494 and nodal points between 47,978 and 67,471. A load of 200N was applied at the 3 points on occlusal surfaces of the restoration, the central fossa, outside point of the central fossa with resin filling into screw hole, and the functional cusp, at a 0 degree angle to the vertical axis of the implant, respectively. The results were as follows: 1. The stress distribution in the regenerated bone-implant interface was highly dependent on both the density of the native bone surrounding the regenerated bone and the loading point. 2. A load of 200N at the buccal cusp produced 5-fold increase in the stress concentration at the neck of the implant and apex of regenerated bone irrespective of surrounding bone density compared to a load of 200N at the central fossa. 3. It was found that stress was more homogeneously distributed along the side of implant when the implant was surrounded by both regenerated bone and native type III bone. In summary, these data indicate that concentration of stress on the implant-regenerated bone interface depends on both the native bone quality surrounding the regenerated bone adjacent to implant and the load direction applied on the prosthesis.

지대주 연결 형태와 골질에 따른 저작압이 임프란트 주위골내 응력분포에 미치는 영향 (Study on the stress distribution depending on the bone type and implant abutment connection by finite element analysis)

  • 박현수;임성빈;정진형;홍기석
    • Journal of Periodontal and Implant Science
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    • 제36권2호
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    • pp.531-554
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    • 2006
  • Oral implants must fulfill certain criteria arising from special demands of function, which include biocompatibility, adequate mechanical strength, optimum soft and hard tissue integration, and transmission of functional forces to bone within physiological limits. And one of the critical elements influencing the long-term uncompromise functioning of oral implants is load distribution at the implant- bone interface, Factors that affect the load transfer at the bone-implant interface include the type of loading, material properties of the implant and prosthesis, implant geometry, surface structure, quality and quantity of the surrounding bone, and nature of the bone-implant interface. To understand the biomechanical behavior of dental implants, validation of stress and strain measurements is required. The finite element analysis (FEA) has been applied to the dental implant field to predict stress distribution patterns in the implant-bone interface by comparison of various implant designs. This method offers the advantage of solving complex structural problems by dividing them into smaller and simpler interrelated sections by using mathematical techniques. The purpose of this study was to evaluate the stresses induced around the implants in bone using FEA, A 3D FEA computer software (SOLIDWORKS 2004, DASSO SYSTEM, France) was used for the analysis of clinical simulations. Two types (external and internal) of implants of 4.1 mm diameter, 12.0 mm length were buried in 4 types of bone modeled. Vertical and oblique forces of lOON were applied on the center of the abutment, and the values of von Mises equivalent stress at the implant-bone interface were computed. The results showed that von Mises stresses at the marginal. bone were higher under oblique load than under vertical load, and the stresses were higher at the lingual marginal bone than at the buccal marginal bone under oblique load. Under vertical and oblique load, the stress in type I, II, III bone was found to be the highest at the marginal bone and the lowest at the bone around apical portions of implant. Higher stresses occurred at the top of the crestal region and lower stresses occurred near the tip of the implant with greater thickness of the cortical shell while high stresses surrounded the fixture apex for type N. The stresses in the crestal region were higher in Model 2 than in Model 1, the stresses near the tip of the implant were higher in Model 1 than Model 2, and Model 2 showed more effective stress distribution than Model.

곡선 강상자형교의 윤하중 분배 (Distribution of Wheel Loads on Curved Steel Box Girder Bridges)

  • 김희중;이시영
    • 한국방재학회 논문집
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    • 제8권1호
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    • pp.9-14
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    • 2008
  • 곡선교의 경우 구조적인 기능이나 미관을 고려하여 강상자형교의 사용이 증가하고 있다. 강상자형교는 비틀림에 대한 강성이 뛰어나고 폐합단면을 가지므로 개단면에 비해 부식에 대해서 유리하며 가설 시에도 안정성을 갖는 장점이 있다. 곡선 강상자형교의 설계는 관용적으로 가로보의 강성을 이용하여 윤하중 횡분배를 유도하는 격자해석으로 실시되고 있다. 본 연구에서는 곡선강상자형교에 대하여 유한요소 해석을 실시하여 곡률, 가로보 및 다이아프램이 윤하중의 횡분배에 미치는 영향에 분석하였다. 해석결과 곡선교에서 곡률은 횡분배에 큰 영향을 미쳤으며 곡률이 증가할수록 분배계수가 증가하는 것을 알 수 있었다. 지점부 다이아프램 외에 지간 중앙에 설치되는 다이아프램 1개는 윤하중의 횡분배와 구조적 안정성에 크게 기여하였으나 추가적인 다이아프램의 설치는 하중의 횡분배에 크게 영향을 주지 못하였다. 콘크리트 슬래브 강성은 가로보에 의한 횡분배 효과보다 크게 나타난 것으로 곡선 강박스교 설계 시에는 콘크리트 슬래브 강성의 횡분배 효과를 고려하여야 할 것이다.

2급 와동의 복합레진 충전에 관한 유한요소법적 응력분석 (FINITE ELEMENT STRESS ANALYSIS OF A CLASS II COMPOSITE RESIN RESTORATION)

  • 송보경;엄정문
    • Restorative Dentistry and Endodontics
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    • 제20권2호
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    • pp.627-643
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    • 1995
  • The resistance to fracture of the restored tooth may be influenced by many factors, among these are the cavity dimension and the physical properties of the restorative material. The placement of direct composite resin restorations has generally been found to have a strengthening effect on the prepared teeth. It is the purpose of this investigation to study the relationship between the cavity isthmus and the fracture resistance of a tooth in composite resin restorations. In this study, MO cavity was prepared on the maxillary left first molar and then filled with composite resin. Three dimentional model with 3049 nodes and 2450 8-node blick elements was made by the serial photographic method and isthmus (1/4, 1/3, 1/2 and 2/3 of intercusplal distance between mesiobuccal cusp tip and mesiolingual cusp tip) was varied. Two types of model(B and R model) were developed. B model was assumed perfect bonding between the restoration and cavity wall and R model was left unfilled. A load of 1500N was applied vertically on the node from the lingual slope of the mesiobuccal cusp. The results were as follows : 1. There was a significant decrease of stress resulting in increase of fracture resistance in B model when compared with R model. 2. When it comes to stress distribution, the stress was concentrated in the facio-gingival line angle and the buccal side of the distal margin of the cavity in both Band R model. 3. With the increase of the isthmus width, the stress decreased in the area of the facio-gingival line angle, and increased in the area of facio-gingival line angle as well as the buccal side of the distal margin of the cavity in B model. In R model, the stress increased both in the area of facio-gingival line angle and the buccal side of the distal margin of the cavity, therefore the possibility of crack increased. 4. As the width of cavity increased, in B model, the direction of crack moved from horizontal to vertical on the facio-gingival line angle and the facio-pulpal line angle. In R model, the direction of the crack was horizontal on the facio-gingival line angle and moved from horizontal to the $45^{\circ}$ direction on the facio-pulpal line angle.

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Assessing 3D seismic damage performance of a CFR dam considering various reservoir heights

  • Karalar, Memduh;Cavusli, Murat
    • Earthquakes and Structures
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    • 제16권2호
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    • pp.221-234
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    • 2019
  • Today, many important concrete face rockfill dams (CFRDs) have been built on the world, and some of these important structures are located on the strong seismic regions. In this reason, examination and monitoring of these water construction's seismic behaviour is very important for the safety and future of these dams. In this study, the nonlinear seismic behaviour of Ilısu CFR dam which was built in Turkey in 2017, is investigated for various reservoir water heights taking into account 1995 Kobe near-fault and far-fault ground motions. Three dimensional (3D) finite difference model of the dam is created using the FLAC3D software that is based on the finite difference method. The most suitable mesh range for the 3D model is chosen to achieve the realistic numerical results. Mohr-Coulomb nonlinear material model is used for the rockfill materials and foundation in the seismic analyses. Moreover, Drucker-Prager nonlinear material model is considered for the concrete slab to represent the nonlinearity of the concrete. The dam body, foundation and concrete slab constantly interact during the lifetime of the CFRDs. Therefore, the special interface elements are defined between the dam body-concrete slab and dam body-foundation due to represent the interaction condition in the 3D model. Free field boundary condition that was used rarely for the nonlinear seismic analyses, is considered for the lateral boundaries of the model. In addition, quiet artificial boundary condition that is special boundary condition for the rigid foundation in the earthquake analyses, is used for the bottom of the foundation. The hysteric damping coefficients are separately calculated for all of the materials. These special damping values is defined to the FLAC3D software using the special fish functions to capture the effects of the variation of the modulus and damping ratio with the dynamic shear-strain magnitude. Total 4 different reservoir water heights are taken into account in the seismic analyses. These water heights are empty reservoir, 50 m, 100 m and 130 m (full reservoir), respectively. In the nonlinear seismic analyses, near-fault and far-fault ground motions of 1995 Kobe earthquake are used. According to the numerical analyses, horizontal displacements, vertical displacements and principal stresses for 4 various reservoir water heights are evaluated in detail. Moreover, these results are compared for the near-fault and far-faults earthquakes. The nonlinear seismic analysis results indicate that as the reservoir height increases, the nonlinear seismic behaviour of the dam clearly changes. Each water height has different seismic effects on the earthquake behaviour of Ilısu CFR dam. In addition, it is obviously seen that near-fault earthquakes and far field earthquakes create different nonlinear seismic damages on the nonlinear earthquake behaviour of the dam.

압전단결정을 이용한 소형 free-flooded ring 트랜스듀서의 성능 특성 예측 및 검증 (Analysis and verification of the characteristic of a compact free-flooded ring transducer made of single crystals)

  • 임종범;윤홍우;권병진;김경섭;이정민
    • 한국음향학회지
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    • 제41권3호
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    • pp.278-286
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    • 2022
  • 본 연구에서는 압전세라믹 기반의 상용 Free-Flooded Ring(FFR) 트랜스듀서 대비 소형이면서 저주파 고감도 특성을 확보하기 위해, 높은 압전상수와 전기-기계 결합계수를 가지는 압전단결정 PIN-PMN-PT를 적용한 33-모드 FFR 트랜스듀서를 설계하였다. FFR 트랜스듀서의 광대역 특성을 확보하기 위해 비능동소자를 삽입한 링 구조를 적용하였으며, 3종의 비능동소자 소재 별 특성 해석 결과를 비교하여 최적의 소재를 선정하였다. 링 트랜스듀서의 특성 변화를 최소화하기 위해 오일 충진형 FFR 트랜스듀서로 제작하였으며, 음향시험을 통해 송신감도, 수중 임피던스 및 수평/수직 빔패턴이 해석결과와 잘 일치하는지 확인하였다. 해석 및 시험 결과를 비교한 결과, 송신감도는 공동공진 주파수에서 약 1.3 dB, 구조공진 주파수에서는 약 0.3 dB 차이를 보였다. 또한 상용 트랜스듀서 대비 높은 송신감도를 보유하면서도 직경을 약 17 % 축소하여 제작할 수 있었다. 이를 통해 소형이면서 고출력 특성을 가지는 압전단결정적용 FFR 트랜스듀서의 구현 가능성과 해석을 통한 특성 예측 방법의 유효성을 확인하였다.

말뚝지지 전면기초의 설계를 위한 실용적 해석방법에 관한 연구 (A Practical Analysis Method for the Design of Piled Raft Foundations)

  • 이승훈;박영호;송명준
    • 한국지반공학회논문집
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    • 제23권12호
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    • pp.83-94
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    • 2007
  • 말뚝지지 전면기초는 말뚝기초를 경제적으로 설계할 수 있는 개념으로 주목을 받고 있으나, 전면기초, 말뚝, 지반간의 상호작용이 복잡하여 아직 국내에서 쉽게 실용화가 되고 있지 않은 실정이다. 저자들은 말뚝지지 전면기초의 실용화를 위해 필수적이라고 할 수 있는 효율적인 근사해석 프로그램을 개발하였으며, 본 논문에 그 내용을 간략하게 소개하였다. 개발된 프로그램에 적용된 해석모델은 크게 두 부분으로 구성되는데, 하나는 스프링 위에 놓인 유한요소의 기초판 해석모델이고, 다른 하나는 다층지반에 대하여 말뚝의 비선형성 및 상호작용의 영향을 고려할 수 있는 군말뚝 해석모델이다. 두 모델간의 적합조건을 만족시키기 위한 반복계산과정을 통해 지반과 말뚝의 강성을 구하여 말뚝지지 전면기초의 설계에 필요한 거동 예측결과를 얻을 수 있다. 해석기법의 검증을 위하여 정밀한 3차원 유한요소해석 및 기존에 개발된 근사해석방법들과의 비교분석을 수행하였으며, 이를 통해 개발된 프로그램이 기초요소간의 상호작용을 합리적으로 고려하면서도 비선형 해석이 가능하고 다층지반에 대한 적용성이 좋아 말뚝지지 전면기초의 해석 및 설계를 위한 실용적 목적에 잘 부합하는 성능을 갖는 것을 알 수 있었다.

댐-호소계 비선형 지진응답의 직접시간영역 해석기법 (Direct Time Domain Method for Nonlinear Earthquake Response Analysis of Dam-Reservoir Systems)

  • 이진호;김재관
    • 한국지진공학회논문집
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    • 제14권3호
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    • pp.11-22
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    • 2010
  • 이 논문에서는 댐-호소계의 선형 및 비선형 지진응답 해석을 시간영역에서 엄밀히 수행할 수 있는 해석법을 제시하였다. 댐-호소계는 (1) 선형 또는 비선형으로 거동하는 댐체와 (2) 깊이가 균일하다고 가정한 호소 원역 및 (3) 댐체와 호소 원역 사이 불규칙한 형상의 근역의 세가지 부구조물로 구성된 연계 시스템으로 정식화되었다. 댐체는 선형 또는 비선형 유한 요소로 모델링되고, 호소 원역은 무한 영역으로의 에너지 방사를 엄밀하게 표현할 수 있도록 주파수영역에서 개발된 변위기반 전달경계를 시간영역에서의 포갬적분으로 변환하여 시간증분법과 결합이 용이하게 하였다. 호소 근역을 댐체와 호소 원역이라는 두 개의 부구조물 사이에 저장된 압축성 유체로 모델링하였다. 이 논문에서는 세 개의 부구조물로 구성되는 댐-호소계에 대해 비선형 시간영역 해석을 용이하게 하는 시간증분법을 유도하여 제시하였고 개발된 해석법을 다양한 형상의 댐-호소계의 지진응답 해석에 적용하여 그 정확성을 검증하였다. 이에 추가하여 제시한 기법을 콘크리트 댐의 비선형 지진응답 해석에 적용하여 손상 정도와 부위를 해석 결과로서 보여주었으며 동시에 제시한 기법이 내진성능 평가 등 실무에 바로 활용될 수 있음을 입증하였다.

블완전용입 맞대기 용접재의 용입깊이에 따른 피로강도특성 및 잔류수명의 산출 (Investigation of Fatigue Strength and Prediction of Remaining Life in the Butt Welds Containing Penetration Defects)

  • 한승호;한정우;신병천
    • 한국강구조학회 논문집
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    • 제10권3호통권36호
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    • pp.423-435
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    • 1998
  • 본 연구에서는 기존의 강교에서 흔하게 발견되고 있는 맞대기 용접부의 용입불량으로 인한 부재의 피로강도 저하도를 정량적으로 평가하고자 하였다. 이를 위하여 강교량의 재료로 널리 사용되고 있는 SWS490강으로 제작된 완전용입 및 용입깊이가 서로 다른 불완전용입 맞대기 용접시험편을 대상으로 일정진폭하중시험을 수행하여 S-N선도를 산출하고 이를 비교 검토하였으며, 파괴역학적 방법을 이용하여 불완전용입 용접재의 피로수명을 계산하였다. 본 연구의 결과로서, 완전용입 용접재의 경우 AASHTO의 피로강도등급선도와의 비교에서 피로한도값은 A등급보다 높은 값을 보였고, S-N선도의 기울기는 5.57로 매우 높게 나타났다. 불완전용입 용접재의 경우 불완전용입깊이 D가 증가함에 따라 피로강도가 감소하는데, D=14.7mm인 경우 AASHTO의 E'등급보다 낮게 나타난다. 불완전용입 용접재의 파손거동에서 피로균열은 내부 용접루트 선단부에서 a/c가 매우 작은 반타원형 표면균열의 형태로 발생하고, 시험체의 두께방향으로 진전하여 최종파손을 유발한다. 파괴역학적 방법을 이용한 불완전용입 용접재의 피로수명을 평가하기 위하여 3차원 반타원형 균열형상에 대한 응력확대계수 K를 유한요소해석으로 구하였다. 여기서 얻어진 K값과 실험으로 얻어진 Paris식의 상수를 이용하여 불완전용입 용접재의 피로수명을 계산하여 비교하였다. 그리고 실제 불완전용입 맞대기용접부의 파손으로 붕괴사고가 발생한 성수대교의 수직재에 본 연구결과를 적용하여 피로수명을 계산해 보았다.

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