• Title/Summary/Keyword: 대표체적요소

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Analytical Prediction and Validation of Elastic Behavior of Carbon-Fiber-Reinforced Woven Composites (탄소섬유강화 직조복합재의 탄성 거동의 이론적 예측 및 검증)

  • Hwang, Yeon-Taek;Lim, Jae-Young;Nam, Byeung-Gun;Kim, Hak-Sung
    • Composites Research
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    • v.31 no.5
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    • pp.276-281
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    • 2018
  • In this paper, elastic behavior of woven fabric composites with various fiber yarn structure were predicted through a theoretical calculation model. A representative volume elements (RVE) that can represent the mechanical properties of the woven composites were selected and crimp angle of the weave yarn was defined by several sinusoidal functions. The effective material properties of the woven composite such as young's modulus, shear modulus and poisson's ratio was predicted by classical laminate theory (CLT). The fiber volume fractions were calculated according to the shape and pattern (plain, twill weave) of the fiber yarn, and the elastic behavior of each woven composite was obtained through a theoretical calculation model. Also, to verify the theoretical predictions, woven composite specimens of plain and twill weave were fabricated by vacuum assisted resin transfer molding (VARTM) process and then mechanical test was conducted. As a results, a good correlation between theoretical and experimental results for the elastic behavior of woven composites could be achieved.

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

  • You, Won-Young;Lim, Jae Hyuk;Sohn, Dongwoo;Kim, Sun-Won;Kim, Sung-Hoon
    • Aerospace Engineering and Technology
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    • v.12 no.2
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    • pp.48-56
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    • 2013
  • In this paper, the equivalent elastic properties of fiber reinforced plastic laminar are investigated using various homogenization schemes. Although there are several methods for predicting the equivalent elastic properties such as analytical formula or semi-empirical formula, most of them have some limitations or are not much accurate when handling new composite material consisting of various fiber, matrix and fiber-volume fraction ratio. To resolve the issues, computational homogenization scheme is adopted with a representative volume element (RVE) comprised of a set of finite elements. Finally, the equivalent elastic properties are obtained by applying periodic boundary conditions. The obtained results are compared with those by the existing methods and test results. Also its effect on structural analysis results of the composite satellite panel is investigated.

Urban Flood Modeling with Anisotropic Porous Shallow Water Model (비등방 다공성 2차원 천수모형을 적용한 도시홍수 모델링)

  • Kim, Byunghyun;Kim, Hyun Il;Han, Kun Yeun
    • Proceedings of the Korea Water Resources Association Conference
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    • 2020.06a
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    • pp.414-414
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    • 2020
  • 고전 천수방정식을 적용한 2차원 도시홍수 모델링에서는 지형의 정확한 반영을 위해 고해상도 격자가 요구되며 이는 많은 계산시간과 노력을 필요로 한다. 최근에는 다공성 천수방정식을 적용한 도시홍수해석으로 많은 계산 노력이 요구되는 도시홍수모델링의 한계를 극복한 연구가 많이 이루어지지고 있다. 이러한 연구는 도시 홍수에서 흐름이 공간적으로 변화할 때 불균일 공극이 존재하므로 격자의 크기를 다르게 하여 이러한 불균일성을 해결하고자 하는 등방성 천수모형의 적용에서 시작되었다. 하지만, 등방성 공극을 고려한 도시홍수 해석모형은 대표요소체적(REV)보다 더 큰 격자의 적용을 해야 하는 제한성을 가진다. 반면, 비등방성 공극은 대표요소체적의 적용이 필요하지 않아 불균일 공극의 크기에 관계없이 이론상으로는 동일한 해상도의 격자가 사용가능하긴 하지만, 실제 도시홍수 해석에서 중요하면서도 도전적인 연구이다. 본 연구에서는 도시홍수의 효율적 계산을 위해 비등방성 공극을 고려한 적분형 다공성 천수방정식을 기반으로 하는 2차원 도시홍수 해석모형을 개발하였다. 모형의 개발을 위해, 적용 격자내에서 도시지역의 건물이 차지하는 길이 및 면적을 산정하고 그 값을 2차원 천수방정식에 적용 가능하도록 체적공극(𝜙j)와 면적공극(𝜓k)을 2차원 고전 천수방정식에 추가하였다. 개발모형은 고전 천수방정식, 등방성 공극 고려(미분형 다공성) 천수방정식 및 비등방성 공극 고려(적분형 다공성) 천수방정식의 적용이 가능하여, 각 모형에 적합한 2차원 격자 생성, 각 모형의 매개변수를 보정 그리고 정확성, 효율성, 적용성이 비교 가능하다. 각 모형의 정확성과 효율성 비교를 위해 3가지의 오차 비교 (구조적 오차, 격자크기 오차, 공극 모형 오차), 계산시간 비교, 공간 변동성 검증을 위한 수심 종단형상 비교하였다.

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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.

Effects of Numerical Modeling on Concrete Heterogeneity (콘크리트 비균질성에 대한 수치모델의 영향)

  • Rhee, In-Kyu;Kim, Woo
    • Journal of the Korea Concrete Institute
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    • v.18 no.2 s.92
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    • pp.189-198
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    • 2006
  • The composition of most engineering materials is heterogeneous at some degree. It is simply a question of scale at which the level of heterogeneity becomes apparent. In the case of cementitious granular materials such as concrete the heterogeneity appears at the mesoscale where it is comprised of aggregate particles, a hardened cement paste and voids. Since it is difficult to consider each separate particle in the topological description explicitly, numerical models of the meso-structure are normally confined to two-phase matrix particle composites in which only the larger inclusions are accounted for. 2-D and 3-D concrete blocks(Representative Volume Element, RVE) are used to simulating heterogeneous concrete meso-structures in the form of aggregates in the hardened mortar with nearly zero-thickness linear or planar interfaces. The numerical sensitivity of these meso-structures are Investigated with respect to the different morphologies of heterogeneity and the different level of coupling constant among fracture mode I, II and III. In addition, a numerically homogenized concrete block in 3-D using Hashin-Shtrikman variational bounds provides an evidence of the effective cracking paths which are quite different with those of heterogenous concrete block. However, their average force-displacement relationship show a pretty close match each other.

Prediction Algorithm for Transverse Permeability of Unidirectional Fiber Reinforced Composites with Electric-Hydraulic Analogy (전기-유압 유사성을 활용한 단방향 섬유 강화 복합재료의 수직 방향 투수 계수 예측 알고리즘)

  • Bae, Sang-Yun;Jo, Hyeonseong;Kim, Seong-Su
    • Composites Research
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    • v.35 no.5
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    • pp.334-339
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    • 2022
  • This study suggests the prediction algorithm for transverse permeability, represented the flow resistance during the manufacturing process of composite, of unidirectional continuous fiber reinforced plastics. The cross-sectional shape of representative volume element (RVE) is considered to reflect fiber arrangement. The equivalent length is used as a factor to express the change of resin flow according to fiber arrangement. The permeability prediction algorithm is created by grafting the Electro-Hydraulic analogy and validity is confirmed. The code for permeability prediction was composed by means of MATLAB and Python, flow analysis was performed by using FLUENT. The algorithm was verified as the permeability results obtained through Algorithm and numerical analysis were almost identical to each other, and the calculation time was reduced around 1/450 compared to the numerical analysis.

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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Study on equivalent material property of Tetra Chiral Honeycomb structure using finite element method (유한 요소 해석을 이용한 Tetra Chiral Honeycomb 구조의 등가 물성치에 대한 연구)

  • Park, Jung-Hoon
    • Proceeding of EDISON Challenge
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    • 2016.03a
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    • pp.190-194
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    • 2016
  • 자연에서 안정적이고 경제성이 높은 구조로 벌집 구조가 많이 언급이 된다. 이러한 벌집 구조의 특징으로 인해 많은 공학자들이 그 구조를 모방하여 적용하고 있다. 벌집 구조에도 다양한 종류가 존재하지만 그 중 음의 푸아송 비(Poisson's ratio)를 갖는 Chiral Honeycomb 구조가 많이 연구되고 있다. 푸아송 비는 물질이나 구조의 고유한 물성치로 종, 횡 방향의 변형율로 나타내며 이 값으로 외부 조건으로부터의 변형을 예측 할 수 있게 된다. 흔히 푸아송 비는 양의 값을 가지지만 Chiral Honeycomb 구조는 음의 푸아송 비를 가져 기존의 구조와는 다른 기계적 성질을 가지게 된다. 이 논문에서는 Chiral Honeycomb 구조 중에서도 4개의 관절(ligament)를 가지는 Tetra Chiral Honeycomb 구조에 대해 EDISON용 CASADsovler 프로그램을 통해 유한 요소 해석을 수행하여 등가 물성치를 구해 보았으며 기존 실험의 값들과 비교를 통해 해석을 위해 필요한 적절한 대표 체적에 대해 확인해 보았다.

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Calculation of Poroelastic Parameters of Porous Composites by Using Micromechanical Finite Element Models (미시역학적 유한요소 모델을 이용한 다공성 복합재료의 기공 탄성 인자 산출)

  • Kim, Sung-Jun;Han, Su-Yeon;Shin, Eui-Sup
    • Composites Research
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    • v.25 no.1
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    • pp.1-8
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    • 2012
  • In order to predict the thermoelastic behavior of porous composites, poroelastic parameters are measured by using micromechanics-based finite element models. The expanding deformation caused by pore pressure, and the degradation of homogenized elastic moduli with pores are calculated for the assessment of the poroelastic parameters. Various representative volume elements considering the shape, size, and array pattern of pores are modeled and analyzed by a finite element method. The effects of porosity and material anisotropy, and the distribution of stain energy density are investigated carefully. In addition, the measured poroelastic parameters are verified by predicting the thermo-pore-elastic behavior of carbon/phenolic composites.

Image-Based Computational Modeling of Porous Matrix Composites and Calculation of Poroelastic Coefficients (다공성 기지를 갖는 복합재의 이미지 기반 전산 모형화 및 기공 탄성 계수 산출)

  • Kim, Sung Jun;Shin, Eui Sup
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.38 no.5
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    • pp.527-534
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    • 2014
  • Poroelastic analyses of fiber-reinforced composites were performed using image-based computational models. The section image of a porous matrix was analyzed in order to investigate the porosity, number of pores, and distribution of pores. The resolution, location, and size of the section image were considered to quantify the effective elastic modulus, poroelastic parameter, and strain energy density using the image-based computational models. The poroelastic parameter was calculated from the effective elastic modulus and pore pressure-induced strain. In addition, the results of the poroelastic analyses were verified through representative volume elements by simplifying various pore configurations and arrangements.