• 제목/요약/키워드: Finite Deformation

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불연속면을 고려한 암반의 안정변형해석 (Stability and Deformation Analysis Considering Discontinuities in Rock Mass)

  • 황재윤
    • 터널과지하공간
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    • 제25권1호
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    • pp.68-75
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    • 2015
  • 암반에는 단층 절리 층리 균열 편리 벽개 등 불연속면이 포함되어 있다. 따라서, 불연속면을 포함한 암반의 역학적 거동은 연속체와는 다르게 불연속면의 역학적 거동에 좌우된다. 본 연구에서는 불연속면을 고려한 암반의 안정변형해석기법을 제안하고, 암반 붕괴재난현장에 적용했다. 암반 불연속면을 고려하여 평사투영법에 의한 안정해석과 개별절리요소를 포함한 유한요소법에 의한 변형해석 프로그램을 개발하여, 실제 암반 붕괴 재난현장 지역에서의 해석결과와 비교 및 검토를 하였다. 암반 현장에 적용하여 결과를 비교 검토함으로써, 암반의 파괴 거동 해석에 있어서 개발한 불연속면을 고려한 암반의 안정변형해석법의 적용성에 대한 검증을 하였다.

플레이트의 소성변형 과정이 재건술에서 플레이트 안정성에 미치는 영향 (On the Stability of the Permanently Bent Mini-plate in Reconstructive Surgery)

  • 박시명;이득희;노건우
    • 한국CDE학회논문집
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    • 제21권3호
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    • pp.234-241
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    • 2016
  • Conventional bent plate used in mandibular reconstruction surgery needs safety verification since its mechanical properties are changed due to the plastic deformation during the bending process. In this study we investigate stability of the plastically deformed plate and the plate with the same shape without plastic deformation through the finite element analysis(FEA). First we simulate the process of plate bending to fit the defect in patient. Then, the other plate is modelled to represent a customized plate with the same shape of the plastically deformed one, but without any residual stresses from plastic deformation. After binding these plates to the mandible, we conduct the masticatory simulation. Finally, we compare the resulting Von Mises stress of the customized plate and of the bent plate. The bent plate shows much higher stress than the customized one due to the residual stresses form the bending process. The study shows that plastic deformation in the plate may decrease the safety of the reconstruction surgery.

Free vibration and static analyses of metal-ceramic FG beams via high-order variational MFEM

  • Madenci, Emrah
    • Steel and Composite Structures
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    • 제39권5호
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    • pp.493-509
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    • 2021
  • There is not enough mixed finite element method (MFEM) model developed for static and dynamic analysis of functionally graded material (FGM) beams in the literature. The main purpose of this study is to develop a reliable and efficient computational modeling using an efficient functional in MFEM for free vibration and static analysis of FGM composite beams subject to high order shear deformation effects. The modeling of material properties was performed using mixture rule and Mori-Tanaka scheme which are more realistic determination techniques. This method based on the assumption that a two phase composite material consisting of matrix reinforced by spherical particles, randomly distributed in the beam. To explain the displacement components of the shear deformation effects, it was accepted that the shear deformation effects change sinusoidal. Partial differential field equations were obtained with the help of variational methods and then these equations were transformed into a novel functional for FGM beams with the help of Gateaux differential derivative operator. Thanks to the Gateaux differential method, the compatibility of the field equations was checked, and the field equations and boundary conditions were reflected to the function. A MFEM model was developed with a total of 10 degrees of freedom to apply the obtained functional. In the numerical applications section, free vibration and flexure problems solutions of FGM composite beams were compared with those predicted by other theories to show the effects of shear deformation, thickness changing and boundary conditions.

대형트럭 승객거동과 상해치 해석을 위한 유한요소모델의 개발 (Development of a finite Element Model for Studying the Occupant Behavior and Injury Coefficients of a Large-sized Truck)

  • 오재윤;김학덕;송주현
    • 대한기계학회논문집A
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    • 제26권8호
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    • pp.1577-1584
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    • 2002
  • This paper develops a finite element model for studying the occupant behavior and injury cofficients of a large-sized cab-over type truck. Since it does not have a room to absorb collision energy and deformation in front of the passenger compartment the deformation is directly transmitted to the passenger compartment. Moreover, since its steering column is attached on the frame, severe deformation of the frame directly affects on the steering wheel's movement. Therefore, if the occupant behavior and injury coefficients analysis is performed using a finite element model developed based on a sled test, it is very difficult to expect acquiring satisfactory results. Thus, the finite element model developing in this paper is based on the frontal crash test in order to overcome the inherent problems of the sled test based model commonly used in the passenger car. The occupant behavior and injury coefficients analysis is performed using PAM-CRASH installed in super-computer SP2. In order to validate the reliability of the developed finite element model, a frontal crash test is carried out according to a test method used fur developing truck occupant's secondary safety system in european community and japan. That is, test vehicle's collision direction is vertical to the rigid barrier and collision velocity is 45kph. Thus, measured vehicle pulses at the lower parts of the left and right B-pilla., dummy chest and head deceleration profiles, HIC(head injury criterial) and CA(chest acceleration) values, and dummy behavior from the frontal crash test are compared to the analysis results to validate reliability of the developed model.

유한변형과 굽힘효과가 고려된 3차원 보-기둥요소에 의한 공간구조물의 분기좌굴해석 (A Bifurcation Analysis of Space Structures by Using 3D Beam-Column Element Considering Finite Deformations and Bowing Effect)

  • 이경수;한상을
    • 한국전산구조공학회논문집
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    • 제22권4호
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    • pp.307-314
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    • 2009
  • 본 논문은 기하학적 비선형성을 가진 보존적 단일 하중 매개변수의 탄성 상태 공간구조의 탄성 분기 좌굴해석을 위한 공간프레임의 정식화, 분기경로 추적을 위한 pin-pointing 및 분기경로 전환알고리즘을 기술하고 있다. 복잡한 좌굴 후 거동특성을 파악하기 위한 본 연구의 공간프레임요소는 오일러리안 좌표계에 의한 유한회전이론으로 강체변형을 계산하였고, 굽힘효과가 고려된 보-기둥식을 적용하여 적은 개수의 요소의 사용으로도 정해를 얻을 수 있도록 하였으며, 후좌굴해석과 같은 고도의 비선형해석을 수행하기 위해 기하강성행렬의 모멘트에 대한 영향을 고려하였다. 분기좌굴에 의한 좌굴후 평형상태인 주경로와 분기경로의 pin-pointing 알고리즘으로 특이점을 계산하였으며, 고유치 및 고유모드를 이용한 본 연구의 수치알고리즘에 의해 분기경로를 추적하였다. 분기좌굴 해석예제로 평면프레임, 평면아치 및 공간돔에 대한 분기좌굴 해석을 수행하여 본문에서 제시한 수치해석법의 정확성 및 적용성을 검증한다.

유한요소법을 이용한 반강접합부의 구조해석모델 (Analysis Model of Semi-Rigid Joint Using Finite Element Method)

  • 양한승;이필우
    • Journal of the Korean Wood Science and Technology
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    • 제23권3호
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    • pp.40-47
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    • 1995
  • This study was carried out to develop a finite element analysis model that considers the semi-rigid characteristics of a wood-dowel joint, which is different from conventional joints that are used in the field of engineering. Wood-dowel joints are classified as semi-rigid joints that possess the following characteristics: (1) they are less stiffer than rigid joints and (2) their stiffness is determined by the dowel's diameter, depth of dowel embedment in the face member and quantity of pin dowels. In this study a finite element model that considers the changes in stiffness according to the above mentioned factors was developed and its suitability was verified by experiments using a wood-dowel joint test specimen made up of particleboards. After comparing the experimental results and the analysis results of the wood-dowel joint which was applied with the proposed finite element model, less than 10% of error was found which is considered to be negligibly small. Hence this shows that this proposed finite element model can be used to predict deformation of wood-dowel joints.

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강소성 유한요소법을 이용한 평면 이방성 재료의 디프 드로잉 해석 (Analysis of Deep Drawing of Planar Anisotropic Materials Using the Rigid- Plastic Finite Element Method)

  • 김형종;김동원
    • 대한기계학회논문집
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    • 제16권2호
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    • pp.248-258
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    • 1992
  • Three-dimensional rigid-plastic finite element formulation based on the membrane theory was described and a computer program for large deformation analysis was developed. In the formulation, normal and planar anisotropy of sheet material and rotation of the principal axes of anisotropy was taken into consideration. Sheet metal was assumed to be rigid-plastic material obeying Hill's quadratic yield criterion and its associated flow rule. Deep drawing process, as a preliminary test, for normal anisotropic material was analyzed in order to examine the validity of developed finite element program. The results were consistent with the existing finite element solutions or experimental data. The present study was mainly concerned with the influence of planar anisotropy on deformation behaviour. Finite element analysis and experiment were carried out for the whole process of deep drawing of planar anisotropic material. The computational and experimental results on the shape of ear, strain distribution and punch load were in good agreement.

An efficient finite element analysis model for thermal plate forming in shipbuilding

  • S.L. Arun Kumar;R. Sharma;S.K. Bhattacharyya
    • Ocean Systems Engineering
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    • 제13권4호
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    • pp.367-384
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    • 2023
  • Herein, we present the design and development of an efficient finite element analysis model for thermal plate forming in shipbuilding. Double curvature shells in the ship building industries are primarily formed through the thermal forming technique. Thermal forming involves heating of steel plates using heat sources like oxy-acetylene gas torch, laser, and induction heating, etc. The differential expansion and contraction across the plate thickness cause plastic deformation and bending of plates. Thermal forming is a complex forming technique as the plastic deformation and bending depends on many factors such as peak temperature, heating and cooling rate, depth of heated zone and many other secondary factors. In this work, we develop an efficient finite element analysis model for the thermo-mechanical analysis of thermal forming. Different simulations are reported to study the effect of various parameters affecting the process. Temperature dependent properties are used in the analysis and the finite element analysis model is used to identify the critical flame velocity to avoid recrystallization of plate material. A spring connected plate is modeled for structural analysis using spring elements and that helps in identifying the resultant shapes of various thermal forming patterns. Finally, detailed simulation results are reported to establish the efficacy, applicability and efficiency of the designed and developed finite element analysis model.

강소성 대변형 유한요소법을 이용한 판재 압연연구 (Study on the Sheet Rolling by a Rigid-Plastic Finite Element Method Considering Large Deformation Formulation)

  • 김동원;홍성인
    • 대한기계학회논문집
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    • 제15권1호
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    • pp.145-153
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    • 1991
  • 본 연구에서는 Toh가 개발하여 stretchforming에 응용한 강소성 대변형 이론 을 압연문제에 적용하여 강소성 대변형 유한요소 프로그램을 개발하는데 있다.

SMC 압축성형공정에서의 열변형에 관한 유한요소해석 (Finite Element Analysis of Thermally-Induced Deformation in SMC Compression Molding)

  • 이재형;이응식;윤성기
    • 대한기계학회논문집A
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    • 제21권1호
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    • pp.154-163
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    • 1997
  • Thermally-induced deformation in SMC(Sheet Molding Compound) products is analyzed using three dimensional finite element method. Planar fiber orientation, which causes the anisotropic material properties, is calculated through the flow analysis during the compression stage of the mold. Also curing process is analyzed to predict temperature profile which has significant effects on warpage of SMC products. Through the developed procedure, effects of various process conditions such as charge location, mold temperature, fiber contents, and fiber orientations on deformation of final products are studied. and processing strategies are proposed to reduce the warpage and the shrinkage.