• 제목/요약/키워드: Three-dimensional matrix model

검색결과 127건 처리시간 0.022초

교원섬유 기질을 이용한 3차원 세포 배양 모델에 기계적인 힘을 가하는 경우 기질을 통하여 세포에 가해지는 힘의 특성에 대한 비교 분석 연구 (THE FINITE ELEMENTS ANALYSIS IN THE THREE DIMENSIONAL CELL CULTURE MODEL OF THE COLLAGEN MATRIX ACCORDING TO THE APPLICATION FORCE)

  • 김현종;류인철;박준우;김성곤
    • Journal of the Korean Association of Oral and Maxillofacial Surgeons
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    • 제34권2호
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    • pp.151-156
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    • 2008
  • Different kinds of forces can be applied to the biological tissue. The analysis of the applied force is highly important to explain the mechanism of cellular response. In this study, the applied force to the collagen gel was analyzed by the finite elements analysis. The model received two different kinds of static force (compression and tension). The force range was 50g to 400g. In results, von Mises stress was concentrated in the peripheral region in the compression model. It was concentrated in the central area in the tension model. However, the compressive force was high in the peripheral area of the compression model and the tensional force was also high in the same area of the tension model. In conclusion, the applied force could be different to the region and it should be considered in the experiment to analyze the effects of the mechanical force on the cells.

고유치 해석을 이용한 보의 크랙 탐색 (Detection of a Crack in Beams by Eigen Value Analysis)

  • 이희수;이기훈;최재훈
    • EDISON SW 활용 경진대회 논문집
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    • 제5회(2016년)
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    • pp.195-202
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    • 2016
  • In this paper, crack detection method using eigen value analysis is presented. Three methods are used: theoretical analysis, finite element method with the cracked beam elements and finite element method with three dimensional continuum elements. Finite element formulation of the cracked beam element is introduced. Additional term about stress intensity factor based on fracture mechanics theory is added to flexibility matrix of original beam to model the crack. As using calculated stiffness matrix of cracked beam element and mass matrix, natural frequencies are calculated by eigen value analysis. In the case of using continuum elements, the natural frequencies could be calculated by using EDISON CASAD solver. Several cases of crack are simulated to obtain natural frequencies corresponding the crack. The surface of natural frequency is plotted as changing with crack location and depth. Inverse analysis method is used to find crack location and depth from the natural frequencies of experimental data, which are referred by another papers. Predicted results are similar with the true crack location and depth.

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횡하중을 받는 SiC/Ti-15-3 MMC 복합재 계면영역에서의 탄소성 응력장분포거동(II) (Elastic-Plastic Stress Distributions Behavior in the Interface of SiC/Ti-15-3 MMC under Transverse Loading(II))

  • 강지웅;권오헌
    • 한국안전학회지
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    • 제20권2호
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    • pp.26-31
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    • 2005
  • The strong continuous fiber reinforced metal matrix composites (MMCs) are recently used in aerospace and transportation applications as an advanced material due to its high strength and light weight. Unidirectional fiber-metal matrix composites have superior mechanical properties along the longitudinal direction. However, the applicability of continuous fiber reinforced MMCs is somewhat limited due to their relatively poor transverse properties. Therefore, the transverse properties of MMCs are significantly influenced by the properties of the fiber/matrix interface. In order to be able to utilize these MMCs effectively and with safety, it must be determined their elastic plastic behaviors at the interface. In this study, the interfacial stress states of transversely loaded unidirectional fiber reinforced metal matrix composites investigated by using elastic-plastic finite element analysis. Different fiber volume fractions $(5-60\%)$ were studied numerically. The interlace was treated as three thin layer (with different properties) with a finite thickness between the fiber and the matrix. The fiber is modeled as transversely isotropic linear-elastic, and the matrix as isotropic elastic-plastic material. Using proposed model, the effects of the interface region and fiber arrangement in MMCs on the distributions of stress and strain are evaluated. The stress distributions of a thin multi layer interface have much less changes compared with conventional perfect interface. The analyses were based on a two-dimensional generalized plane strain model of a cross-section of an unidirectional composite by the ANSYS finite element analysis code.

Modeling of unilateral effect in brittle materials by a mesoscopic scale approach

  • Pituba, Jose J.C.;Neto, Eduardo A. Souza
    • Computers and Concrete
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    • 제15권5호
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    • pp.735-758
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    • 2015
  • This work deals with unilateral effect of quasi-brittle materials, such as concrete. For this propose, a two-dimensional meso-scale model is presented. The material is considered as a three-phase material consisting of interface zone, matrix and inclusions - each constituent modeled by an appropriate constitutive model. The Representative Volume Element (RVE) consists of inclusions idealized as circular shapes randomly placed into the specimen. The interface zone is modeled by means of cohesive contact finite elements developed here in order to capture the effects of phase debonding and interface crack closure/opening. As an initial approximation, the inclusion is modeled as linear elastic as well as the matrix. Our main goal here is to show a computational homogenization-based approach as an alternative to complex macroscopic constitutive models for the mechanical behavior of the quasi-brittle materials using a finite element procedure within a purely kinematical multi-scale framework. A set of numerical examples, involving the microcracking processes, is provided. It illustrates the performance of the proposed model. In summary, the proposed homogenization-based model is found to be a suitable tool for the identification of macroscopic mechanical behavior of quasi-brittle materials dealing with unilateral effect.

다공탄성체 척추운동분절 유한요소 모델을 이용한 추간판의 퇴화과정 분석 (Analysis of Disc Degeneration in a Poroelastic Spinal Motion Segment FE Model)

  • 우대곤;김영은
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2005년도 추계학술대회 논문집
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    • pp.248-251
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    • 2005
  • To investigate the degeneration process in the intervertebral disc, a three dimensional (3D) poroelastic finite-element (FE) model was developed. Disc was modeled as two different regions, such as annulus modeled with fiber reinforced 20 node poroelastic ground matrix and nucleus having large porosity. Excess Von Mises stress in the disc element assumed to be a possible source of degeneration under compressive loading condition. Recursive calculation was continued until the desired convergence was attained by changing the permeability and porosity of those elements, which could be predicted from the previous iteration. The degenerated disc model showed that relatively small compressive stresses were generated in the nucleus elements compared to normal disc. Its distribution along the sagittal plane was matched well with a previously reported experimental result. Contrasts to this result, pore pressures in the nucleus were higher than those in the normal disc. Total stress indicated similar values for two different models. This new approach using poroelastic modeling could provide the explanation of the interaction between fluid and solid matrix in the disc during the degeneration process.

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Hopf Bifurcation Study of Inductively Coupled Power Transfer Systems Based on SS-type Compensation

  • Xia, Chenyang;Yang, Ying;Peng, Yuxiang;Hu, Aiguo Patrick
    • Journal of Power Electronics
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    • 제19권3호
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    • pp.655-664
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    • 2019
  • In order to analyze the nonlinear phenomena of the bifurcation and chaos caused by the switching of nonlinear switching devices in inductively coupled power transfer (ICPT) systems, a Jacobian matrix model, based on discrete mapping numerical modeling, is established to judge the system stability of the periodic closed orbit and to study the nonlinear behavior of Hopf bifurcation in a system under full resonance. The general flow of the parameter design, based on the stability principle for ICPT systems, is proposed to avoid the chaos and bifurcation phenomena caused by unreasonable parameter selection. Firstly, based on the state equation of SS-type compensation, a three-dimensional bifurcation diagram with the coupling coefficient as the bifurcation parameter is established with a numerical simulation to observe the nonlinear phenomena in the system. Then Filippov's method based on a Jacobian matrix model is adopted to deduce the boundary of stable operation and to judge the type of the bifurcation in the system. Then the general flow of the parameter design based on the stability principle for ICPT systems is proposed through the above analysis to realize stable operation under the conditions of weak coupling. Finally, an experimental platform is built to confirm the correctness of the numerical simulation and modeling.

유사변환기법을 이용한 Galerkin-FEM모델 (A Three-Dimensional Galerkin-FEM Model Using Similarity Transform Technique)

  • 강관수;소재귀;정경태
    • 한국해안해양공학회지
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    • 제6권2호
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    • pp.174-185
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    • 1994
  • 본 논문에서는 수평유속의 연직방향 변화 결정에 유한요소기법(FEM)을 이용하고 수평방향으로는 유한차분기법을 사용하는 복합형 Galerkin 연직함수 전개모델에 새로이 유사변환기법을 추가한 3차원 해수유동모델의 개발에 대하여 기술하였다. 기본방정식의 연직방향으로 선형보간함수를 기저함수로 사용하여 Galerkin 기법을 적용하여 구성되는 행열 방정식에 유사변환기법을 적용, 각 절점의 유속값을 해석적으로 구하였다. 유사변환기법을 적용하여 최종 얻어지는 모우드 shape 방정식은 비연계된 방정식으로 구성되므로 역행렬 계산이 필요없어 계산시간이 절약된다. 또한 수립된 모델은 고유벡터행렬로 구성되는 모우드 shape가 도입됨으로써 모우드 shape 몇개만 사용하여도 거의 수렴된 값을 얻을 수 있어 계산시간을 절약할 수 있다. 등수심하 유한영역과 무한영역에서의 수치실험을 통하여 개발된 모델의 적용 가능성을 검증하였다.

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손상변수기반 점진적 파손이론을 이용한 복합재 이중 겹침 볼트 체결부의 강도 해석 (Strength Analysis of Composite Double-lap Bolted Joints by Progressive Failure Theory Based on Damage Variables)

  • 김상국;권진회
    • Composites Research
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    • 제26권2호
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    • pp.91-98
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    • 2013
  • 복합재 이중-겹침 볼트 체결부의 파손을 예측하기 위해 손상계수를 고려한 강성저하 방법과 Hashin의 3차원 파손판정식에 근거한 3차원 유한요소해석 방법을 제안하였다. 기지 혹은 면내(In-plane) 전단 손상을 고려하기 위해 손상변수를 이용하는 Ladeveze 이론을 섬유방향 강성저하와 연계하여 사용하였고, 수지 압축/전단, 수지 인장/전단, 섬유압축, 섬유 인장 등 4가지 파손모드를 고려하였다. 상업용 유한요소 프로그램인 ABAQUS를 이용하여 마찰력과 볼트 체결력을 고려하였고, 강성저하모델 처리를 위해 ABAQUS의 사용자 정의 부프로그램을 이용하였다. 제안된 유한요소해석 방법을 검증하기 위해 복합재 이중겹침 볼트 체결부 시험 결과와 파손강도를 비교한 결과 7~16% 오차를 보임을 확인하였다.

정적효과를 포함한 자기지전류 자료의 효율적인 3차원 역산에 관하여 (On the Efficient Three-Dimensional Inversion of Static Shifted MT Data)

  • 장한누리;장한길로;김희준
    • 지구물리와물리탐사
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    • 제17권2호
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    • pp.95-103
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    • 2014
  • MT 자료에서 3차원 전기비저항 구조와 정적효과를 동시에 구하기 위한 실용적인 역산법을 소개한다. 이 방법은 감도행렬이 필요한 Gauss-Newton법을 기반으로 하고 반복과정에서 Broyden의 방식으로 감도를 수정하는 것을 기본으로 하고 있다. 이 논문에서는 합성 MT 자료에 대한 역산실험을 통해 근사역산법의 성능과 정적효과에 대한 가중치에 대해 검토하였다. 해석적으로 구해지는 초기감도를 Broyden의 방식으로 수정하는 역산법은 초기감도를 끝까지 쓰는 역산법보다 자료오차를 줄이는데 효과적이었다. 그리고 완전한 감도행렬을 반복 중간에서 단 한번만 사용하는 근사역산법으로서는 반복 전반부에서 완전한 감도를 사용할 때 자료오차를 가장 많이 줄이는 것으로 나타났다. 정적효과에 대한 가중치는 어느 특정 한계값 이하로 선택하면 최종 자료오차에는 결정적인 영향을 주지 않는다. 합성 MT 자료에 대한 실험 결과 이 역산법은 정적효과가 포함된 MT 자료로부터 3차원 전기비저항 구조를 재현하는데 효과적임을 확인하였다.

단계적 파괴 모델에 의한 적층 복합재료의 충격거동 해석 (Impact Behavior of Laminated Composite using Progressive Failure Model)

  • 강문수;이경우;강태진
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 2000년도 추계학술발표대회 논문집
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    • pp.102-105
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    • 2000
  • Recently, applications of integrated large composite structures have been attempted to many structures of vehicles. To improve the cost performance and reliability of the integrated composite structures, it is necessary to judge structural integrity of the composite structures. For the judgement, we need fracture simulation techniques for composite structures. Many researches oil the fracture simulation method using FEM have been reported by now. Most of the researches carried out simulations considering only matrix cracking and fiber breaking as fracture modes, and did not consider delamination. Several papers have reported the delamination simulation, but all these reports require three-dimensional elements or quasi three- dimensional elements for FEM analysis. Among fracture mechanisms of composite laminates, delamination is the most important factor because it causes stiffness degradation in composite structures. It is known that onset and propagation of delamination are dominated by the strain energy release rate and interfacial moment. In this study, laminated composite has been described by using 3 dimensional finite elements. Then impact behavior of the laminated composite is simulated using FEM(ABAQUS/Explicit) with progressive failure mechanism. These results are compared with experimental results.

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