• Title/Summary/Keyword: 탄소성 유한 요소 해석

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수치해석적 응력 적분 방법

  • 이승래
    • Computational Structural Engineering
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    • v.3 no.3
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    • pp.53-54
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    • 1990
  • 응력 변형율의 관계가 시간에 대한 미분의 형태로 나타나는 비선형 탄소성 혹은 점탄소성 재질을 갖는 구조물이나 지만의 거동 문제를 유한요소법 등의 방법을 이용하여 해결하려고 하는 경우 주어진 외력에 의한 새로운 응력이나 응력 강화 현상을 표현하는 여러 재료 상수값들을 구하기 위해서는 적분을 요하게 되며 일반적으로 수치해석적 방법에 의해 수행된다. 이러한 수치해석적 적분방법은 보다 정확한 결과를 얻기 위하여 알고리즘 자체의 정확성과 안정성이 요구된다. 정확성은 수치해석적 적분방법이 적용될 수 있는 step size에 관계없이 거의 동일한 결과치를 얻을 수 있느냐 하는 것을 말하고 안정성은 큰 step size에서도 수렴된 결과치를 얻을 수 있느냐 하는 것을 의미한다. 그 뿐만 아니라 비교적 복잡하고도 그 대상영역이 큰 문제를 해석하고자 할 때는 수렴속도 또한 빠른 해석방법이 바람직하게 된다. 따라서 본 기사에서는 여러가지 가능한 수치해석 적분 방법을 소개하고 그들의 장단점을 논하고자 한다.

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A Numerical Approach to Young's Modulus Evaluation by Conical Indenter with Finite Tip-Radius (유한선단반경을 갖는 원뿔형 압입자에 의한 영률평가 수치접근법)

  • Lee, Jin-Haeng;Kim, Deok-Hoon;Lee, Hyung-Yil
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.32 no.1
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    • pp.35-42
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    • 2008
  • Instrumented sharp indentation test is a well-directed method to measure hardness and elastic modulus. The sharp indenter such as Berkovich and conical indenters have a geometrical self-similarity in theory, but the self-similarity ceases to work in practice due to inevitable indenter tip-blunting. In this study we analyzed the load-depth curves of conical indenter with finite tip-radius via finite element method. Using the numerical regression data obtained from Kick's law, we first confirmed that loading curvature is significantly affected by tip radius as well as material properties. We then established a new method to evaluate Young's modulus, which successfully provides the value of elastic modulus with an average error of less than 2%, regardless of tip-radius and material properties of both indenter and specimen.

Safety Estimation of the Carbon/Carbon Brake Disk Having Crack by Experimental/Analytical Method (크랙이 존재하는 탄소/탄소 브레이크 디스크의 실험적/해석적 안정성 판별)

  • 오세희;유재석;김천곤;홍창선;박종현
    • Composites Research
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    • v.15 no.2
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    • pp.24-31
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    • 2002
  • In this paper, the safety of the crack existing between the load bearing part and the friction part in key slots was evaluated. The repetitive loading test considered impact damage was performed for the various crack models. Also, the probability of the crack propagation and the stress concentration at the crack tip were studied by using a FE analysis. By these method, safety of the disk was confirmed.

Geometry Effect of Multi-Walled Carbon Nanotube on Elastic Modulus of Polymer Composites (다중벽 탄소나노튜브의 형상인자에 따른 고분자 복합재료의 탄성계수에 관한 연구)

  • Suhr, Jonghwan
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.38 no.1
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    • pp.89-94
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    • 2014
  • The high Young's modulus and tensile strength of carbon nanotubes has attracted great attention from the research community given the potential for developing super-strong, super-stiff composites with carbon nanotube reinforcements. Over the decades, the strength and stiffness of carbon nanotube-reinforced polymer nanocomposites have been researched extensively. However, unfortunately, such strong composite materials have not been developed yet. It has been reported that the efficiency of load transfer in such systems is critically dependent on the quality of adhesion between the nanotubes and the polymer chains. In addition, the waviness and orientation of the nanotubes embedded in a matrix reduce the reinforcement effectiveness. In this study, we carried out performed micromechanics-based numerical modeling and analysis by varying the geometry of carbon nanotubes including their aspect ratio, orientation, and waviness. The results of this analysis allow for a better understanding of the load transfer capabilities of carbon nanotube-reinforced polymer composites.

Thermomechanical Behavior of Porous Carbon/Phenolic Composites in Pyrolysis Environments (고온 열분해 환경의 다공성 탄소/페놀릭 복합재의 열기계적 거동)

  • Kim, Sung-Jun;Han, Su-Yeon;Shin, Eui-Sup
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.39 no.8
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    • pp.711-718
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    • 2011
  • The thermoelastic behavior of the porous carbon/phenolic composites is studied using the thermomechanical response model of chemically decomposing composites. The model includes thermal dependence of the porous composites, porosity in the pyrolysis process, pore pressure due to decomposing gases, and shrinkage. The poroelastic coefficients are calculated based on representative volume element model and finite element analysis. The internal stress distribution caused by pores and pore pressure, and the overall deformation are verified. The effects of the poroelastic coefficients on the thermoelastic behavior are examined through numerical experiments.

Analysis of Deflection of Reinforced Concrete Flexural Members under Monotonic Loading (단조하중을 받는 철근콘크리트 휨부재의 처짐해석)

  • Byun, Keun Joo;Kim, Young Jin
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.11 no.1
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    • pp.69-78
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    • 1991
  • This paper concentrates on the analysis of deflection of the reinforced concrete flexural members under monotonic loading. Concrete is treated as an orthotropic nonlinear material. The concept of equivalent strain and crack strain are used to establish independent stress-strain relationships in the directions of orthotropy. Steel is modeled as an elstoplastic material, and von Mises failure criterion is applied. The finite element computer program for the nonlinear analysis of the deflection of RC flexural members under monotonic loading is developed. The accuracy and reliability of the numerical procedure is demonstrated by the FEM analysis and experiments of the under reinforced concrete beams over the entire loading range up to failure.

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Calculation of J-Integral by CMOD at Impact Behavior of 3-Point Bend Specimen (삼점 굽힘 시험편의 충격 거동에 있어서의 CMOD에 의한 J-적분의 계산)

  • Cho Jae-Ung
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.6 no.6
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    • pp.542-546
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    • 2005
  • The J-integral used as a ductile crack initiation criterion has been discussed for the impact loaded elastic-plastic 3PB specimens. The experimental method to measure or estimate the J-integral history has been investigated and its result has been compared to the obtained elastic-plastic values by the finite element model of this study. These numerical results and the experimental curves are found to agree closely. J-integral can be calculated by only numerical analysis with the finite element model. It is proved that simple calculation can be made in order to find the possible value of J-integral by crack mouth opening displacement(CMOD) in the dynamic nonlinear fracture experiment of 3-point bend(3PB) specimen. The property of elastic-plastic material is considered at different impact velocities. The J-integral may be estimated from the crack mouth opening displacement which can be measured directly kom photographs taken during impact experiments.

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Flexural Behavior of Composite HSB I-Girders in Positive Moment (HSB 강합성거더 정모멘트부 휨거동)

  • Cho, Eun-Young;Shin, Dong-Ku
    • Journal of Korean Society of Steel Construction
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    • v.22 no.4
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    • pp.377-388
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    • 2010
  • The flexural behavior of composite HSB600 and HSB800 I-girders under a positive moment was investigated using the material non-linear moment-curvature analysis method. Three representative composite sections with different ductility properties were selected as the baseline sections in this study. Using these baseline sections, the moment-curvature program was verified by comparing the flexural strength and the moment-curvature curve obtained from the program with those obtained using the non-linear FE analysis of ABAQUS. In the FE analysis, the composite girders were modeled three-dimensionally with flanges, the web, and the concrete slab as thin shell elements, and initial imperfections and residual stresses were imposed on the FE model. In the moment-curvature and FE analyses, the 28-day compressive strength of the concrete slab was assumed to be 30-50 MPa, and the HSB600 and HSB800 steels were modeled as elasto-plastic strain-hardening materials, with the concrete as the CEB-FIP model. The effects of the ductility ratio of the composite girder, the type of steel, the compressive strength of the concrete deck, and the location of the plastic neutral axis on the flexural characteristics were analyzed.

Characteristics of Hysteretic Behavior of Circular Steel Column using SM490 for Loading Rate (재하속도에 따른 SM490강재 원형강기둥의 이력거동 특성)

  • Jang, Gab Chul;Chang, Kyong Ho
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.26 no.6A
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    • pp.935-941
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    • 2006
  • The hysteretic behavior of steel structure under cyclic and dynami loading such as earthquake is different to that under static loading. Because structural steels on dynamic deformation is different to static deformation with respect with mechanical characteristics and stress-strain relationship. Therefore, to accurately predict the hysteretic behavior of steel structures such as circular steel columns under cyclic and dynamic loading, the difference of loading carrying capacity and deformation according to loading rate, assumed static and dynamic deformation state, must be investigated. In this study, numerical analyses of circular steel column using SM490 for change of loading rate and diameter-thickness ratio(D/t) were carried out by using three-dimensional elastic-plastic finite element analysis and dynamic cyclic plasticity model of SM490 developed by the authors. Characteristics of hysteretic behavior of circular steel column using SM490, load carrying capacity and energy dissipation ratio, were clarified by analysis results.

A Finite Element Analysis of Circular Plate Resting on Elasto-Plastic Soil Medium (탄소성(彈塑性) 지반(地盤)위에 놓인 원형평판(圓形平板)의 유한요소(有限要素) 해석(解析))

  • Kim, Sung Deuk;Chang, Sung Pil
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.7 no.4
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    • pp.91-102
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    • 1987
  • In this study, the finite element method using 8-node isoparametric element is developed theoretically and simulated to see the deformation of soil and plate, when the circular plate resting on Boussinesq's soil type is loaded axisymmetrically. The results of numerical analysis using the Mohr-Coulomb yield criterion, and experimental analysis are approximative, assuming that soil is elasto-plastic medium. The paper shows that the plastic zone of soil medium is displayed at the near the edge of plate at the first place; when the plastic zone of soil medium is linked around central axis, the external load is termed by critical load, and then the contact pressure changes abruptly, in this case it is approved to be the risk of shear failure.

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