• 제목/요약/키워드: von-Mises criteria

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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.

형상불완전을 갖는 철근 콘크리트 축대칭 쉘의 동적 특성 (Dynamic Characteristics of Reinforced concrete axisymmetric shell with shape imperfection)

  • 조진구
    • 한국농공학회지
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    • 제42권5호
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    • pp.151-159
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    • 2000
  • Dynamic loading of structures often causes excursions of stresses will into the inelastic range and the influence of geometry changes on the response is also significant in may cases. In general , the shell structures designed according to quasi-Static analysis may collapse under condition of dynamic loading. Therefore, for a more realistic prediction on the lad carrying capacity of these shell. both material and geometric nonlinear effects should be considered. In this study , the material nonlinearity effect on the dynamic response is formulated by the elasto-viscoplastic model highly corresponding to the real behavior of the material. Also, the geometrically nonlinear behavior is taken into account using a Total Lagrangian formulation. the reinforcing bars are modeled by the equivalent steel layer at the location of reinforcements, and Von Mises yield criteria is adopted for the steel layer behavior. Also, Drucker-Prager yield criteria is applied for the behavior of concrete. the shape imperfection of dome is assumed as 'dimple type' which can be expressed Wd1=Wd0(1-(r-a)m)n while the shape imperfection of wall is assumed as sinusoidal curve which is Wwi =Wwo sin(n $\pi$y/l). In numerical test, three cases of shape imperfection of 0.0 -5.0cm(opposite direction to loading ; inner shape imperfection)and 5cm (direction to loading : outward shape imperfection) and thickness of steel layer determined by steel ratio of 0,3, and 5% were analyzed. The effect of shape imperfection and steel ratio and behavior characteristics of perfect shape shell and imperfect shape shell are identified through analysis of above mentioned numerical test. Dynamic behaviors of dome and wall according toe combination of shape imperfection and steel ratio are also discussed in this paper.

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차량용 LNG 연료 용기의 내진동 단열지지구조 설계 및 최적화 (Design and Optimization of Vibration-resistant and Heat-insulating Support Structure of Fuel Cylinder for LNG Vehicles)

  • 권현욱;황인철
    • 한국가스학회지
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    • 제18권5호
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    • pp.6-11
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    • 2014
  • 차량용 LNG 연료 용기의 내진동 단열 지지구조 최적화 설계 개발을 위하여 종래의 해외특허구조 설계를 기본으로 한 특성요인도 분석으로 용기의 내조 및 외조 지지부 구조설계의 주요 설계 인자를 도출하였다. 도출된 설계인자 중에서 우선적으로 지지 봉재의 직경과 단열 격판 연결부 곡률을 대상으로 하여 최적화를 수행하였다. 차량용 LNG 연료 용기 설계안에 대한 평가를 위해 설계안을 MSC/MARC 상용유한 요소해석 패키지를 활용하여 유한요소 모델링하여 진동모드해석과 열전달 및 열응력해석을 수행하였다. 최적화 설계 결과를 통하여 도출된 설계안은 고유진동해석을 통한 1차 모드 고유진동수(1st Mode Natural Frequency), 열전달해석을 통한 초저온 용기 내조 외조간 지지부를 통한 총전열량 및 열응력해석을 통한 최대 Von-Mises 응력이 모두 설계 목표치를 만족하였으며, 개발된 설계안에 따라 차량용 LNG 연료 용기의 제작하여 3차원 진동 시험과 단열성능 시험을 통해 설계를 검증하였다.

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.

연성파괴 해석을 위한 비선형 유한요소 모델의 개발 -소형 컴퓨터를 위한 - (The Development of a Non-Linear Finite Element Model for Ductile Fracture Analysis - For Mini-Computer -)

  • 정세희;조규종
    • 대한기계학회논문집
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    • 제10권1호
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    • pp.25-33
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    • 1986
  • 본 연구에서는 선단요소 해법의 방법을 토대로 소형컴퓨터를 위한 비선형 유한요소의 개발을 시도한 것이다. 주로 참조한 선단요소 해법의 프로그램은 Hinton과 Owen이 작성한 프로그램이며 원판메모리를 최대로 활용하여, 활동변수를 최소화 시키므로써, 실제 소형컴퓨터인 HP-3000II(512KB) 컴퓨터에서 총 자유도가 1000정도 되는 유한요소까지는, 해석이 가능하도록 만들어지게 되었다. 이와같이 완성된 프로그램의 응용성과 신뢰성을 검토해 보기 위해서 표준 CT 시편의 유한요소 를 작성하여(124 element, 428 node, 941 freedom) 크랙선단에 형성되는 소성역의 형상과 소성변형 크기를 수치적으로 추적하여 본 결과, 실험결과와 매우 잘 일치함을 볼 수 있어서 프로그램의 신뢰성을 확인 할 수 있었다. 이때 실험은 SUS-304스테인 레스강단의 소성역을 형성시킨다음, 재결정 방법에 의해 소성역의 형상과 크기를 가시 화 및 정량화 하여서 계산결과와 비교 하였다.

증분소성이론에 의한 p-Version 탄소성 유한요소해석 (p-Version Elasto-Plastic Finite Element Analysis by Incremental Theory of Plasticity)

  • 정우성;홍종현;우광성
    • 전산구조공학
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    • 제10권4호
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    • pp.217-228
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    • 1997
  • p-version 유한요소법에 의한 고정밀해석은 응력특이가 발생하는 선형탄성 문제에 매우 적합한 방법으로 인식되고 있다. 해석 결과의 정확도, 모델링의 단순성, 입력자료에 대한 통용성 및 사용자와 CPU 시간의 절감 등 여러장점이 선형탄성 문제에 적용되어 우수성이 입증되었지만, 탄소성 해석분야는 아직 적용이 이루어지지 않고 있다. 그러므로 본 논문에서는 일-경화재료에 대한 구성방정식을 이용하여 정식화된 증분소성이론과 소성유동법칙에 근거한 재료비선형 p-version 유한요소모델이 제안되었다. 비선형방정식을 풀기 위해 Newton-Raphson법과 초기강성도법 등의 반복법이 모색되었다. 제안된 모델을 이용하여 개구부를 가진 사각형 평판과 내압을 받는 두꺼운 실린더, 그리고 등분포하중을 받는 원판해석 등의 수치실험이 수행되었다. 한편, p-version 모델에 의한 해석결과는 문헌의 이론값과 상용유한요소프로그램인 ADINA의 해석결과와 비교 검증되었다.

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Advanced analysis of cyclic behaviour of plane steel frames with semi-rigid connections

  • Saravanan, M.;Arul Jayachandran, S.;Marimuthu, V.;Prabha, P.
    • Steel and Composite Structures
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    • 제9권4호
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    • pp.381-395
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    • 2009
  • This paper presents the details of an advanced Finite Element (FE) analysis of a plane steel portal frame with semi-rigid beam-to-column connections subjected cyclic loading. In spite of several component models on cyclic behaviour of connections presented in the literature, works on numerical investigations on cyclic behaviour of full scale frames are rather scarce. This paper presents the evolution of an FE model which deals comprehensively with the issues related to cyclic behaviour of full scale steel frames using ABAQUS software. In the material modeling, combined kinematic/isotropic hardening model and isotropic hardening model along with Von Mises criteria are used. Connection non-linearity is also considered in the analysis. The bolt slip which happens in friction grip connection is modeled. The bolt load variation during loading, which is a pivotal issue in reality, has been taken care in the present model. This aspect, according to the knowledge of the authors, has been first time reported in the literature. The numerically predicted results using the methodology evolved in the present study, for the cyclic behaviour of a cantilever beam and a rigid frame, are validated with experimental results available in the literature. The moment-rotation and deflection responses of the evolved model, match well with experimental results. This proves that the methodology for evolving the steel frame and connection model presented in this paper is closer to real frame behaviour as evident from the good comparison and hence paves the way for further parametric studies on cyclic behaviour of flexibly connected frames.

구조물의 대변형 비탄성 해석을 위한 범용 목적의 XFINAS 4절점 순수 변위 합응력 쉘요소 (A General and Versatile XFINAS 4-node Co-Rotational Resultant Shell Element for Large Deformation Inelastic Analysis of Structures)

  • 김기두;이창수
    • 대한토목학회논문집
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    • 제26권3A호
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    • pp.447-455
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    • 2006
  • 순수변위 비선형 4절점 쉘요소의 정식화를 제안하여 철근 콘크리트, 강재및 복합재료등 범용 목적의 구조물의 해석에 적합하도록 하였다. 기하강성의 정식은 2차 운동역학적 관계를 이용하여 쉘이 중립면에서 정의되었고 이러한 기하강성은 면내응력, 휨 모멘트와 수직 전단력의 형태로 구성되어 두꺼운 판 및 쉘의 해석에 효과적이다. 가정된 자연 변형률 방법을 사용하여 전단잠김 문제를 제거한 복합 쉘 요소는 얇은 판및 쉘의 경우에도 정확한 해를 구할 수 있다. 콘크리트 경우 소성이론 및 탄소성 파괴역학에 근거한 비탄성 해석이 가능하며 강재경우 폰미스의 항복이론과 이바노브의 항복이론을 이용한 소성해석이 가능하다. 복합 재료의 수직전단 강성 행렬은 평형방정식으로부터 유도하여 구성하였다. 본 연구에서 제안한 쉘 요소는 해석 예제들이 참고문헌과 잘 일치하여 정확성이 입증되었으며 범용목적의 박판구조 해석에 적합한 것으로 사료 되었다.

탄성지반상에 놓인 철근 콘크리트 축대칭 쉘의 정적 및 동적 해석(IV) -축대칭 쉘의 동적 응답에 대한 철근의 영향을 중심으로- (Static and Dynamic Analysis of Reinforced Concrete Axisymmetric Shell on the Elastic Foundation -Effect of Steel on the Dynamic Response-)

  • 조진구
    • 한국농공학회지
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    • 제39권4호
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    • pp.106-113
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    • 1997
  • Dynamic loading of structures often causes excursions of stresses well into the inelastic range, and the influence of the geometric changes on the dynamic response is also significant in many cases. Therefore, both material and geometric nonlinearity effects should be considered in case that a dynamic load acts on the structure. A structure in a nuclear power plant is a structure of importance which puts emphasis on safety. A nuclear container is a pressure vessel subject to internal pressure and this structure is constructed by a reinforced concrete or a pre-stressed concrete. In this study, the material nonlinearity effect on the dynamic response is formulated by the elasto-viscoplastic model highly corresponding to the real behavior of the material. Also, the geometrically nonlinear behavior is taken into account using a total Lagrangian coordinate system, and the equilibrium equation of motion is numerically solved by a central difference scheme. The constitutive relation of concrete is modeled according to a Drucker-Prager yield criterion in compression. The reinforcing bars are modeled by a smeared layer at the location of reinforcements, and the steel layer model under Von Mises yield criteria is adopted to represent an elastic-plastic behavior. To investigate the dynamic response of a nuclear reinforced concrete containment structure, the steel-ratios of 0, 3, 5 and 10 percent, are considered. The results obtained from the analysis of an example were summarized as follows 1. As the steel-ratio increases, the amplitude and the period of the vertical displacements in apex of dome decreased. The Dynamic Magnification Factor(DMF) was some larger than that of the structure without steel. However, the regular trend was not found in the values of DMF. 2. The dynamic response of the vertical displacement and the radial displacement in the dome-wall junction were shown that the period of displacement in initial step decreased with the steel-ratio increases. Especially, the effect of the steel on the dynamic response of radial displacement disapeared almost. The values of DMF were 1.94, 2.5, 2.62 and 2.66, and the values increased with the steel-ratio. 3. The characteristics of the dynamic response of radial displacement in the mid-wall were similar to that of dome-wall junction. The values of DMF were 1.91, 2.11, 2.13 and 2.18, and the values increased with the steel-ratio. 4. The amplitude and the period of the hoop-stresses in the dome, the dome-wall junction, and the mid-wall were shown the decreased trend with the steel-ratio. The values of DMF were some larger than those of the structure without steel. However, the regular trend was not found in the values of DMF.

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