• Title/Summary/Keyword: representative volume element

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A MICROSTRUCTURAL MODEL OF THE THERMAL CONDUCTIVITY OF DISPERSION TYPE FUELS WITH A FUEL MATRIX INTERACTION LAYER

  • Williams, A.F.;Leitch, B.W.;Wang, N.
    • Nuclear Engineering and Technology
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    • v.45 no.7
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    • pp.839-846
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    • 2013
  • This paper describes a finite element model of the microstructure of dispersion type nuclear fuels, which can be used to determine the effective thermal conductivity of the fuels during irradiation. The model simulates a representative region of the fuel as a prism shaped unit cell made of brick elements. The elements within the unit cell are assigned material properties of either the fuel or the matrix depending on position, in such a way as to represent randomly distributed fuel particles with a size distribution similar to that of the as manufactured fuel. By applying an appropriate heat flux across the unit cell it is possible to determine the effective thermal conductivity of the unit cell as a function of the volume fraction of the fuel particles. The presence of a fuel/matrix interaction layer is simulated by the addition of a third set of material properties that are assigned to the finite elements that surround each fuel particle. In this way the effective thermal conductivity of the material may also be determined as a function of the volume fraction of the interaction layer. Work is on going to add fission gas bubbles in the fuel as a fourth phase to the model.

Prediction of Thermoelastic Constants of Unidirectional Porous Composites Using an Unmixing-Mixing Scheme (분리-혼합 기법을 이용한 일방향 다공성 복합재료의 열탄성 계수 예측)

  • Shin, Eui-Sup
    • Composites Research
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    • v.25 no.2
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    • pp.34-39
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    • 2012
  • A thermo-poro-elastic constitutive model of unidirectionally fiber-reinforced composite materials is suggested by extending the unmixing-mixing scheme which is based upon composite micromechanics. The strain components of thermal expansion due to a temperature change, gas pressure in pores, and chemical shrinkage are included in the constitutive model. On purpose to verify the derived constitutive relations, the representative volume element of two-dimensional lamina subject to various loading conditions is analyzed by the finite element method. The overall stress and strain responses are obtained, and compared with the predicted values by the unmixing-mixing scheme. The numerical results show the usefulness of the proposed model to predict the thermoelastic behavior of porous composites.

열응력을 받는 고분자 복합 물질의 열거동 메커니즘 규명에 대한 연구

  • Jeong, Gi-Ho;Park, Chang-Sik;Kim, Min-Ju;Byeon, Hyang-Eun
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2009.11a
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    • pp.11-11
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    • 2009
  • 본 연구는 MLCC 제조공정중 그린상태에서의 강도를 유지하기 위한 고분자 바인더의 거동을 예측하고, 제조공정중 나타난 가열후 수축 현상을 규명하고자 하였다. 이를 위해 메커니즘에 대한 가설을 수립하고 이를 여러가지 분석기법과 컴퓨터 시뮬레이션을 통해 확인하였으며, 현장의 제조기술 부문에서 용이하게 사용할 수 있도록 간단한 수학적 모델링으로 표현하였다. 수학적 모델링은 제품을 이용한 실험과 비교하여 정확도를 검증하였으며, 이러한 해석기법은 대표체적요소(representative volume element)을 이용하여 MLCC 그린바 (Bar)의 해석까지 가능하도록 응용범위를 향상시켰다.

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Multiscale Stress Analysis of Palladium/Carbon Fiber Composites for the Hydrogen High Pressure Vessel (수소고압저장용기용 팔라듐 첨가 탄소섬유복합재에 대한 멀티스케일 응력해석)

  • Park, Woo Rim;Kwon, Oh Heon
    • Journal of the Korean Society of Safety
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    • v.33 no.2
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    • pp.1-7
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    • 2018
  • The multi-scale analysis is more proper and precise for composite materials because of considering the individual microscopic structure and properties of each material for composite materials. The purpose of this study is to verify the validity of using palladium particles in carbon/fiber composites by multi-scale analysis. The palladium is a material for itself to detect leaking hydrogen by using the property of adsorbing hydrogen. The macroscopic model material properties used in this study are homogeneous material properties from microstructure. Homogenized material properties that are calculated from periodic boundary conditions in the microscopic representative volume element model of each macroscopic analysis model. In this study, three macroscopic models were used : carbon fiber/epoxy, carbon fiber/palladium, palladium/epoxy. As a result, adding palladium to carbon/epoxy composite is not a problem in terms of strength.

Investigation on the validity of the rule of mixtures (복합재료 혼합법칙의 타당성 검토)

  • 이창성;김승조
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 1999.11a
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    • pp.111-117
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    • 1999
  • 섬유강화 복합재료의 섬유와 수지까지 세부적으로 모델링이 가능한 Direct Numerical Simulation을 통해서 Boron/Aluminum 섬유강화 복합재료의 탄성계수들을 구해 보았다. 수치실험에서는 복합재료를 직교이방성 물질로 가정하였고, 특정 체적에 대한 평균치를 이용해서 물성치를 구하였으며, 혼합법칙에 의해서 구한 값 및 대표체적요소(Representative Volume Element)를 사용해서 구한 값들과 비교하였다. 혼합법칙의 경우, 섬유방향 인장계수(E₁)을 제외한 나머지 물성치들에 대해서는 상당한 차이를 나타내며, 이는 혼합법칙 유도과정에서 가정한 기본가정들이 적절하지 않기 때문이라는 것을 수치실험(Numerical Experiment)을 통해 알 수 있었다.

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A Physically Based Dynamic Recrystallization Model for Predicting High Temperature Flow Stress (열간 유동응력 예측을 위한 물리식 기반 동적 재결정 모델)

  • Lee, H.W.;Kang, S.H.;Lee, Y.S.
    • Transactions of Materials Processing
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    • v.22 no.8
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    • pp.450-455
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    • 2013
  • In the current study, a new dynamic recrystallization model for predicting high temperature flow stress is developed based on a physical model and the mean field theory. In the model, the grain aggregate is assumed as a representative volume element to describe dynamic recrystallization. The flow stress and microstructure during dynamic recrystallization were calculated using three sub-models for work hardening, for nucleation and for growth. In the case of work hardening, a single parameter dislocation density model was used to calculate change of dislocation density and stress in the grains. For modeling nucleation, the nucleation criterion developed was based on the grain boundary bulge mechanism and a constant nucleation rate was assumed. Conventional rate theory was used for describing growth. The flow stress behavior of pure copper was investigated using the model and compared with experimental findings. Simulated results by cellular automata were used for validating the model.

Assessment of Voigt and LRVE models for thermal shock analysis of thin FGM blade: A neutral surface approach

  • Ankit Kumar;Shashank Pandey
    • Structural Engineering and Mechanics
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    • v.85 no.1
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    • pp.105-118
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    • 2023
  • The present work is an attempt to develop a simple and accurate finite element formulation for the assessment of thermal shock/thermally induced vibrations in pretwisted and tapered functionally graded material thin (FGM) blades obtained from Voigt and local representative volume elements (LRVE) homogenization models, based on neutral surface approach. The neutral surface of the FGM blade does not coincide with its mid-surface. A finite element model (FEM) is developed using first-order shear deformation theory (FSDT) and the FGM turbine blade is modelled according to the shallow shell theory. The top and the bottom layers of the FGM blade are made of pure ceramic and pure metal, respectively and temperature-dependent material properties are functionally graded in the thickness direction, the position of the neutral surface also depends on the temperature. The material properties are estimated according to two different homogenization models viz., Voigt or LRVE. The top layer of the FGM blade is subjected to high temperature and the bottom surface is either thermally insulated or kept at room temperature. The solution of the nonlinear profile of the temperature in the thickness direction is obtained from the Fourier law of heat conduction in the unsteady state. The results obtained from the present FEM are compared with the benchmark examples. Next, the effect of angle of twist, intensity of thermal shock, variable chord and span and volume fraction index on the transient response due to thermal shock obtained from the two homogenization models viz., Voigt and LRVE scheme is investigated. It is shown that there can be a significant difference in the transient response calculated by the two homogenization models for a particular set of material and geometric parameters.

Functionally Graded Structure Design for Heat Conduction Problems using Machine Learning (머신 러닝을 사용한 열전도 문제에 대한 기능적 등급구조 설계)

  • Moon, Yunho;Kim, Cheolwoong;Park, Soonok;Yoo, Jeonghoon
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.34 no.3
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    • pp.159-165
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    • 2021
  • This study introduces a topology optimization method for the simultaneous design of macro-scale structural configuration and unit structure variation to ensure effective heat conduction. Shape changes in the unit structure depending on its location within the macro-scale structure result in micro- as well as macro-scale design and enable better performance than using isotropic unit structures. They result in functionally graded composite structures combining both configurations. The representative volume element (RVE) method is applied to obtain various thermal conductivity properties of the multi-material based unit structure according to its shape change. Based on the RVE analysis results, the material properties of the unit structure having a certain shape can be derived using machine learning. Macro-scale topology optimization is performed using the traditional solid isotropic material with penalization method, while the unit structures composing the macro-structure can have various shapes to improve the heat conduction performance according to the simultaneous optimization process. Numerical examples of the thermal compliance minimization issue are provided to verify the effectiveness of the proposed method.

Microstructure Generation and Linearly Elastic Characteristic Analysis of Hierarchical Models for Dual-Phase Composite Materials (이종 입자복합재의 미세구조 생성과 계층적 모델의 선형 탄성적 응답특성 해석)

  • Cho, Jin-Rae
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.31 no.3
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    • pp.133-140
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    • 2018
  • This paper is concerned with the 2-D micostructure generation for $Ni-A{\ell}_2O_3$ dual-phase composite materials and the numerical analysis of mechanical characteristic of hierarchical models of microstructure which are defined in terms of the scale of microstructure. The microstructures of dual-phase composite materials were generated by applying the mathematical RMDF(random morphology description functions) technique to a 2-D RVE of composite materials. And, the hierarchical models of microstructure were defined by the number of Gaussian points. Meanwhile, the volume fractions of metal and ceramic particles were set by adjusting the level of RMD functions. The microstructures which were generated by RMDF technique are definitely random even though the total number of Gaussian points is the same. The randomly generated microstructures were applied to a 2-D beam model, and the variation of normal and shear stresses to the scale of microstructure was numerically investigated. In addition, through the crack analyses, the influence of RMDF randomness and Gauss point number on the crack-tip stress is investigated.

Development of Modeling Technique and Material Prediction Method Considering Structural Characteristics of Woven Composites (직조 복합재료의 구조적 특성을 고려한 모델링 기법 및 물성 예측 기법 개발)

  • Choi, Kyung-Hee;Hwang, Yeon-Taek;Kim, Hee-June;Kim, Hak-Sung
    • Composites Research
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    • v.32 no.5
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    • pp.206-210
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    • 2019
  • As the use of composite materials of woven structure has expanded to various fields such as automobile and aviation industry, there has been a need for reliability problems and prediction of mechanical properties of woven composites. In this study, finite element analysis for predicting the mechanical properties of composite materials with different weaving structures was conducted to verify similarity with experimental static properties and an effective modeling method was developed. To reflect the characteristics of the weave structure, the meso-scale representative volume element (RVE) was used in modeling. Three-dimensional modeling was carried out by separating the yarn and the pure matrix. Hashin's failure criterion was used to determine whether the element was failed, and the simulation model used a progressive failure model which was suitable for the composite material. Finally, the accordance of the modeling and simulation technique was verified by successfully predicting the mechanical properties of the composite material according to the weave structure.