• 제목/요약/키워드: Composite Homogenization Scheme

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코로게이트 3층 샌드위치 패널 구조체 물성 및 구조해석 (Mechanical Properties and Structural Analyses for the Corrugated 3 Layered Sandwich Panels)

  • 윤수진;허엽;길현용;박동창
    • 한국추진공학회지
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    • 제23권5호
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    • pp.75-89
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    • 2019
  • 본 연구에서는 경량 코로게이트 3층 샌드위치 패널 구조체와 관련하여 구조해석 및 분석결과들에 대해서 언급되었다. 기계적 물성의 획득을 위해 코로게이트 변형거동에 기반을 둔 분석식이 이용되었으며 이 때 보다 실제적인 물성을 얻기 위해 위의 식은 수정되었다. 한편 본 구조체는 일축 섬유 강화 복합재와 유사성을 가지므로 복합재 균질화기법을 통해서도 비등방 기계적 물성이 획득되었으며 두 가지 기법으로 얻은 물성은 3층 구조체의 형상 변수에 따른 특정 하중에 대한 구조해석에 적용되었으며 그 결과 또한 비교되었다.

섬유강화 복합재료 등가탄성계수 예측과 복합재료 위성패널의 구조해석 (Prediction of the Equivalent Elastic Properties of Fiber Reinforced Composite Materials and Structural Analysis of Composite Satellite Panel)

  • 유원영;임재혁;손동우;김선원;김성훈
    • 항공우주기술
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    • 제12권2호
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    • pp.48-56
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    • 2013
  • 본 연구에서는 다양한 균질화 기법을 통해 섬유강화 복합재료 단일 적층판의 등가탄성계수를 예측을 수행하였다. 섬유강화 복합재료의 등가 탄성계수를 예측하는 해석식 및 준실험식 등 많은 기법들이 제안되어 왔지만 사용대상에 따라 제약이 있거나, 복합재료를 구성하는 섬유나 기지의 종류에 따라 예측결과가 시험결과와 잘 일치하지 않는 문제점을 가지고 있다. 본 연구에서 전산 균질화 기법을 통해 실제 복합재료 형상과 유사한 대표체적 요소를 선정하여 유한요소 모델링을 수행하고, 주기적 경계조건을 부여하여 등가 탄성계수를 예측하였다. 아울러 기존의 예측식 및 시험 결과와 비교하여 그 성능을 검증하였으며, 인공위성 복합재료 패널 구조해석결과에 미치는 영향에 대해 검토하였다.

Post-buckling analysis of geometrically imperfect tapered curved micro-panels made of graphene oxide powder reinforced composite

  • Mirjavadi, Seyed Sajad;Forsat, Masoud;Barati, Mohammad Reza;Hamouda, AMS
    • Steel and Composite Structures
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    • 제36권1호
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    • pp.63-74
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    • 2020
  • The present research investigates post-buckling behavior of geometrically imperfect tapered curved micro-panels made of graphene oxide powder (GOP) reinforced composite. Micro-scale effects on the panel structure have been included based on strain gradient elasticity. Micro-panel is considered to be tapered based on thickness variation along longitudinal direction. Weight fractions of uniformly and linearly distributed GOPs are included in material properties based on Halpin-Tsai homogenization scheme considering. Post-buckling curves have been determined based on both perfect and imperfect micro-panel assumptions. It is found that post-buckling curves are varying with the changes of GOPs weight fraction, geometric imperfection, GOP distribution type, variable thickness parameters, panel curvature radius and strain gradient.

열역학 기반 내부 변수를 이용한 균질화 탄소성 구성방정식 및 입자강화 복합재에서의 소성변형집중 (Homogenized Elastic-plastic Relation based on Thermodynamics and Strain Localization Analyses for Particulate Composite)

  • 윤수진;김기근
    • 소성∙가공
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    • 제33권1호
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    • pp.18-35
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    • 2024
  • In the present work, the evolution rules for the internal variables including continuum damage factors are obtained using the thermodynamic framework, which are in turn facilitated to derive the elastic-plastic constitutive relation for the particulate composites. Using the Mori-Tanaka scheme, the homogenization on state and internal variables such as back-stress and damage factors is carried out to procure the rate independent plasticity relations. Moreover, the degradation of mechanical properties of constituents is depicted by the distinctive damages such that the phase and interfacial damages are treated individually accordingly, whereas the kinematic hardening is depicted by combining the Armstrong-Frederick and Phillips' back-stress evolutions. On the other hand, the present constitutive relation for each phase is expressed in terms of the respective damage-free effective quantities, then, followed by transformation into the damage affected overall nominal relations using the aforementioned homogenization concentration factors. An emphasis is placed on the qualitative analyses for strain localization by observing the perturbation growth instead of the conventional bifurcation analyses. It turns out that the proposed constitutive model offers a wide range of strain localization behavior depending on the evolution of various internal variable descriptions.

Topology optimization with functionally graded multi-material for elastic buckling criteria

  • Minh-Ngoc Nguyen;Dongkyu Lee;Joowon Kang;Soomi Shin
    • Steel and Composite Structures
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    • 제46권1호
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    • pp.33-51
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    • 2023
  • This research presents a multi-material topology optimization for functionally graded material (FGM) and nonFGM with elastic buckling criteria. The elastic buckling based multi-material topology optimization of functionally graded steels (FGSs) uses a Jacobi scheme and a Method of Moving Asymptotes (MMA) as an expansion to revise the design variables shown first. Moreover, mathematical expressions for modified interpolation materials in the buckling framework are also described in detail. A Solid Isotropic Material with Penalization (SIMP) as well as a modified penalizing material model is utilized. Based on this investigation on the buckling constraint with homogenization material properties, this method for determining optimal shape is presented under buckling constraint parameters with non-homogenization material properties. For optimal problems, minimizing structural compliance like as an objective function is related to a given material volume and a buckling load factor. In this study, conflicts between structural stiffness and stability which cause an unfavorable effect on the performance of existing optimization procedures are reduced. A few structural design features illustrate the effectiveness and adjustability of an approach and provide some ideas for further expansions.

The effective properties of saturated concrete healed by EDM with the ITZs

  • Chen, Qing;Jiang, Zhengwu;Zhu, Hehua;Ju, J.W.;Yan, Zhiguo;Li, Haoxin
    • Computers and Concrete
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    • 제21권1호
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    • pp.67-74
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    • 2018
  • A differential scheme based micromechanical framework is proposed to obtain the effective properties of the saturated concrete repaired by the electrochemical deposition method (EDM) considering the interfacial transition zone (ITZ) effects. The constituents of the repaired concrete are treated as different phases, consisting of (micro-)cracks, (micro-)voids and (micro-)pores (occupied by water), deposition products, intrinsic concrete made up by the three traditional solid phases (i.e., mortar, coarse aggregates and their interfaces) and the ITZs. By incorporating the composite sphere assemblage (CSA) model and the differential approach, a new multilevel homogenization scheme is utilized to quantitatively estimate the mechanical performance of the repaired concrete with the ITZs. The CSA model is modified to obtain the effective properties of the equivalent particle, which is a three-phase composite made up of the water, deposition products and the ITZs. The differential scheme is employed to reach the equivalent composite of the concrete repaired by EDM considering the ITZ effects. Moreover, modification procedures considering the ITZ effects are presented to attain the properties of the repaired concrete in the dry state. Results in this study are compared with those of the existing models and the experimental data. It is found that the predictions herein agree better with the experimental data than the previous models.

Exact third-order static and free vibration analyses of functionally graded porous curved beam

  • Beg, Mirza S.;Khalid, Hasan M.;Yasin, Mohd Y.;Hadji, L.
    • Steel and Composite Structures
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    • 제39권1호
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    • pp.1-20
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    • 2021
  • An exact solution based on refined third-order theory (TOT) has been presented for functionally graded porous curved beams having deep curvature. The displacement field of the refined TOT is derived by imposing the shear free conditions at the outer and inner surfaces of curved beams. The properties of the two phase composite are tailored according the power law rule and the effective properties are computed using Mori-Tanaka homogenization scheme. The equations of motion as well as consistent boundary conditions are derived using the Hamilton's principle. The curved beam stiffness coefficients (A, B, D) are obtained numerically using six-point Gauss integration scheme without compromising the accuracy due to deepness (1 + z/R) terms. The porosity has been modeled assuming symmetric (even) as well as asymmetric (uneven) distributions across the cross section of curved beam. The programming has been performed in MATLAB and is validated with the results available in the literature as well as 2D finite element model developed in ABAQUS. The effect of inclusion of 1 + z/R terms is studied for deflection, stresses and natural frequencies for FG curved beams of different radii of curvature. Results presented in this work will be useful for comparison of future studies.

콘크리트 및 복합재료용 멀티스케일 가상 시험기계에 관한 소고 (Multiscale Virtual Testing Machines of Concrete and Other Composite Materials: A Review)

  • ;박솔뫼;양범주;이행기
    • 한국전산구조공학회논문집
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    • 제31권4호
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    • pp.173-181
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    • 2018
  • 최근 복합재료는 향상된 성능, 내구성 및 여러 특정 요구성능에 대한 설계 유연성으로 인해 다양한 분야에서 활발히 활용되고 있다. 컴퓨터 성능이 발달함에 따라, 복합재료의 복잡한 거동에 대한 정확도 높은 모델 역시 함께 연구되고 있으며, 이로 인해 가상시험이 복합재료 거동에 대한 실험을 대체하거나 보충하는데 중요한 역할을 하고 있다. 본 논문에서는 나노수준부터 구조물 단위까지 이르는 다양한 length scale의 homogenization을 통한 멀티스케일 모델링에 대한 문헌을 분석하였다. 또한, 콘크리트 거동 연구에 대한 통합모델의 특징을 다루었으며, 가상 시험기계에 대한 최근 연구동향 및 전망에 대하여 다루었다.

Micromechanical investigation for the probabilistic behavior of unsaturated concrete

  • Chen, Qing;Zhu, Zhiyuan;Liu, Fang;Li, Haoxin;Jiang, Zhengwu
    • Computers and Concrete
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    • 제26권2호
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    • pp.127-136
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    • 2020
  • There is an inherent randomness for concrete microstructure even with the same manufacturing process. Meanwhile, the concrete material under the aqueous environment is usually not fully saturated by water. This study aimed to develop a stochastic micromechanical framework to investigate the probabilistic behavior of the unsaturated concrete from microscale level. The material is represented as a multiphase composite composed of the water, the pores and the intrinsic concrete (made up by the mortar, the coarse aggregates and their interfaces). The differential scheme based two-level micromechanical homogenization scheme is presented to quantitatively predict the concrete's effective properties. By modeling the volume fractions and properties of the constituents as stochastic, we extend the deterministic framework to stochastic to incorporate the material's inherent randomness. Monte Carlo simulations are adopted to reach the different order moments of the effective properties. A distribution-free method is employed to get the unbiased probability density function based on the maximum entropy principle. Numerical examples including limited experimental validations, comparisons with existing micromechanical models, commonly used probability density functions and the direct Monte Carlo simulations indicate that the proposed models provide an accurate and computationally efficient framework in characterizing the material's effective properties. Finally, the effects of the saturation degrees and the pore shapes on the concrete macroscopic probabilistic behaviors are investigated based on our proposed stochastic micromechanical framework.

비국부 이론을 이용한 입자 강화 복합재 이중후방응력 소성 구성방정식 모델 및 전단밴드 분석 (Non-Local Plasticity Constitutive Relation for Particulate Composite Material Using Combined Back-Stress Model and Shear Band Formation)

  • 윤수진;김신회;박재범;정규동
    • 대한기계학회논문집A
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    • 제38권10호
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    • pp.1057-1068
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    • 2014
  • 2개의 상으로 구성된 입자 강화 복합재에 대한 균질화와 내부 상태 변수에 대해 2차 미분항이 포함된 비구역적 이론을 적용하여 탄소성 구성 방정식을 제안하였다. 열역학과 소성 포텐셜을 통해 내부 상태 변수에 대한 전개식 또한 본 논문에 포함되었다. 연속체 결함 모델을 이용, 결함 인자에 따른 물성 저하 현상도 감안되었으며 이중 후방응력이 조합된 전개식 또한 제시하였다. 일부 예에 대한 수치해석 결과, 비구역적 변수의 영향이 증가할수록 전단밴드는 감소하나 반면 특정 후방응력 전개가 지배적일수록 소성변형 집중이 증가함이 관찰되었다. 더욱이 두 개의 강소성 상으로 이루어진 복합재의 경우 강성이 높은 게재물의 비중이 증가함에 따라 전단밴드 형성이 용이한 것으로 나타났다. 그 밖에 제어변수들의 변화에 따른 전단밴드 형성에 대한 분석 결과는 Rice 소성 불안정성 분석결과와 잘 일치함 또한 밝혀졌다.