• 한국콘크리트학회:학술대회논문집
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• 한국콘크리트학회 1995년도 봄 학술발표회 논문집
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• pp.345-349
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• 1995

Although heterogeneous materials consisted of micro-constituents are complicated, it is possible to evaulate effective elastic moduli by using micro-mechanics models. In order to evaluate effective elastic moduli of concrete, all aggregates in a representative volume element(RVE) are assumed spherical and randomly distributed. A dilute distribution of inclusions is considered first, and the corresponding overall elastic moduli of the RVE are estimated. Then, the self-consistent method is used in order to take into account the interaction effects. The elastic moduli of concrete are calculated using the models and compared with those of experiment for different volume fractions of the aggregates and elastic moduli of the mortar and the aggregates.

• Structural Engineering and Mechanics
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• 제38권4호
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• pp.503-516
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• 2011

Uncertainty in concrete properties, including concrete modulus of elasticity and modulus of rupture, are predicted by developing a microstructural homogenization model. The homogenization model is developed by analyzing a concrete representative volume element (RVE) using the finite element (FE) method. The concrete RVE considers concrete as a three phase composite material including: cement paste, aggregate and interfacial transition zone (ITZ). The homogenization model allows for considering two sources of variability in concrete, randomly dispersed aggregates in the concrete matrix and uncertain mechanical properties of composite phases of concrete. Using the proposed homogenization technique, the uncertainty in concrete modulus of elasticity and modulus of rupture (described by numerical cumulative probability density function) are determined. Deflection uncertainty of reinforced concrete (RC) beams, propagated from uncertainties in concrete properties, is quantified using Monte Carlo (MC) simulation. Cracked plane frame analysis is used to account for tension stiffening in concrete. Concrete homogenization enables a unique opportunity to bridge the gap between concrete materials and structural modeling, which is necessary for realistic serviceability prediction.

• Composites Research
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• 제25권1호
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• pp.1-8
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• 2012

본 논문에서는 다공성 복합재료의 열탄성 거동 예측을 위하여 미시역학적 유한요소 해석을 통해 기공 탄성 인자를 측정하였다. 먼저 기공 압력에 의한 복합재료의 응력 및 변형 상태를 기술하기 위해서 구성 방정식에 기공 탄성 인자를 도입하였다. 기공 탄성 인자의 산출에 필요한 기공 압력에 의한 팽창 변형도와 기공 형성에 따른 균질화 탄성 계수의 저하를 측정하였다. 기공의 형상, 크기, 배열 형태에 따른 이차원 대표 체적 요소의 모델링과 유한요소 해석을 수행하였다. 기공도, 재료 이 방성이 기공 탄성 인자에 미치는 영향과 기공 압력에 따른 변형 에너지 밀도 분포를 살펴보았다. 또한, 측정된 기공 탄성 인자의 유용성을 검토하기 위하여 탄소/페놀릭 복합재료의 열탄성 거동을 예측하였다.

• Composites Research
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• 제16권1호
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• pp.42-49
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• 2003

취성기지 복합재료는 섬유와 기지 사이에 계면분리가 존재하는 경우가 있는데 이것은 복합재료의 강도와 강성저하의 원인이 된다. 계면분리와 섬유체적비가 복합재료의 기계적 물성치에 미치는 영향에 대만 유한요소해석을 수행하였다. 우선 몇 가지 가정하에 복합재료를 구성하는 섬유와 기지에 대하여 간단하게 모델링하고 이웃하는 대표체적요소의 경계를 따라 응력과 변위 연속조건을 부과하였다. 강성상수들을 역변환하여 복합재료의 유효물성치를 구하였다. 완전접착의 경우 수치해를 혼합물법칙에 의한 이론해와 비교한 결과 일치함을 알 수 있었고 계면분리가 큰 경우 섬유체적비가 증가하더라도 물성치가 감소함을 알 수 있었다.

• Computers and Concrete
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• 제3권5호
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• pp.301-312
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• 2006

Experimental research revealed that the spatial dispersion of aggregate grains exerts pronounced influences on the mechanical and durability properties of concrete. Therefore, insight into this phenomenon is of paramount importance. Experimental approaches do not provide direct access to three-dimensional spacing information in concrete, however. Contrarily, simulation approaches are mostly deficient in generating packing systems of aggregate grains with sufficient density. This paper therefore employs a dynamic simulation system (with the acronym SPACE), allowing the generation of dense random packing of grains, representative for concrete aggregates. This paper studies by means of SPACE packing structures of aggregates with a Fuller type of size distribution, generally accepted as a suitable approximation for actual aggregate systems. Mean free spacing $\bar{\lambda}$, mean nearest neighbour distance (NND) between grain centres $\bar{\Delta}_3$, and the probability density function of ${\Delta}_3$ are used to characterize the spatial dispersion of aggregate grains in model concretes. Influences on these spacing parameters are studied of volume fraction and the size range of aggregate grains. The values of these descriptors are estimated by means of stereological tools, whereupon the calculation results are compared with measurements. The simulation results indicate that the size range of aggregate grains has a more pronounced influence on the spacing parameters than exerted by the volume fraction of aggregate. At relatively high volume density of aggregates, as met in the present cases, theoretical and experimental values are found quite similar. The mean free spacing is known to be independent of the actual dispersion characteristics (Underwood 1968); it is a structural parameter governed by material composition. Moreover, scatter of the mean free spacing among the serial sections of the model concrete in the simulation study is relatively small, demonstrating the sample size to be representative for composition homogeneity of aggregate grains. The distribution of ${\Delta}_3$ observed in this study is markedly skew, indicating a concentration of relatively small values of ${\Delta}_3$. The estimate of the size of the representative volume element (RVE) for configuration homogeneity based on NND exceeds by one order of magnitude the estimate for structure-insensitive properties. This is in accordance with predictions of Brown (1965) for composition and configuration homogeneity (corresponding to structure-insensitive and structure-sensitive properties) of conglomerates.

• 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.

• Smart Structures and Systems
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• 제12권5호
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• pp.579-594
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• 2013

A new enthalpy - based procedure for the homogenization of the electromechanical material parameters of composite piezoelectric modules with integrated electrodes is presented. It is based on a finite element (FE) modeling of the latter's representative volume element (RVE). In contrast to most previously published homogenization approaches that are based on averaged quantities, the presented method uses a direct evaluation of the electromechanical enthalpy. Hence, for the linear orthotropic piezoelectric composite behavior full set of elastic, piezoelectric, and dielectric material parameters, 17 load cases (LC) are used where each load case leads directly to one material parameter. This gives the possibility to elaborate a very strict and easy to program processing. In conjunction with the 17 LC, the enthalpy - based homogenization is particularly suitable for laminated composite piezoelectric modules with integrated electrodes. In this case, the electric load has to be given at the electrodes rather than at the RVE FE model boundaries. The proposed procedure is validated through its comparison to literature available results on a classical 1-3 piezoelectric micro fiber (longitudinally polarized) reinforced composite and a $d_{15}$ shear piezoelectric macro-fiber (transversely polarized) composite module.

• 한국지반공학회지:지반
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• 제13권6호
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• pp.147-164
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• 1997

본 논문은 절리 암반물성의 크기효과가 암반의 불균질성 및 불연속성에 기인한다고 가정하였다. 이를 위해 대표체적요소의 개념이 적용되는 일반적인 등가물성이론을 탈피하여 불규칙적인 절리기하와 임의의 절리수 및 임의의 절리 방향성을 고려할 수 있는 등가물성이론에 대해서 연구하였다. 이론적인 연구를 바탕으로 이 이론을 실제 문제에 적용한 결과 암반요소의 크기에 따라 달라지는 물성 변화를 관찰하고, 크기효과에 관한 여러 가지 연구를 수행하였다. 특히, 수치해석적인 방법으로 크기효과를 증명하는 과정의 타당성을 입증하고 크기효과의 구체적인 원인을 알아보기 위해서 4개의 모델에 대해서 전산실험을 수행하였다. 이 실험으로부터 증명된 내용을 토대로 실제 3차원 구조물을 대상으로 크기효과 실험을 수행하였다. 이 실험 과정 중 절리의 여러 역학적인 성질들이 암반강도 및 탄성계수의 크기효과에 미치는 영향을 관찰해 보았다. 또 크기효과가 특정 절리구조에서 발생되는 것이 아니고 절리를 포함하는 모든 경우에서 발생됨을 증명하기 위해 절리 구조가 다른 두 모델을 대상으로 크기효과 실험을 수행하였다.

• Structural Engineering and Mechanics
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• 제58권5호
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• pp.931-947
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• 2016

The effects of nanotechnology and smartness on the buckling reduction of pipes are the main contributions of present work. For this ends, the pipe is simulated with classical piezoelectric polymeric cylindrical shell reinforced by armchair double walled boron nitride nanotubes (DWBNNTs), The structure is subjected to combined electro-thermo-mechanical loads. The surrounding elastic foundation is modeled with a novel model namely as orthotropic nonhomogeneous Pasternak medium. Using representative volume element (RVE) based on micromechanical modeling, mechanical, electrical and thermal characteristics of the equivalent composite are determined. Employing nonlinear strains-displacements and stress-strain relations as well as the charge equation for coupling of electrical and mechanical fields, the governing equations are derived based on Hamilton's principal. Based on differential quadrature method (DQM), the buckling load of pipe is calculated. The influences of electrical and thermal loads, geometrical parameters of shell, elastic foundation, orientation angle and volume percent of DWBNNTs in polymer are investigated on the buckling of pipe. Results showed that the generated ${\Phi}$ improved sensor and actuator applications in several process industries, because it increases the stability of structure. Furthermore, using nanotechnology in reinforcing the pipe, the buckling load of structure increases.

• Composites Research
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• 제17권2호
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• pp.34-39
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• 2004

본 연구에서는 폐쇄형 발포금속의 인장 특성을 이해하기 위하여 수정된 단위모델을 제시하였다. 또한 발포금속의 밀도는 가우스 분포에 의거하여 확률적으로 분포한다고 가정하고 본 연구에서 제시된 수정 단위 모델을 조합하여 유한요소 모델을 제안하였다. 이 모델은 실제 인장 시험과 유사한 변형거동을 보이는 것을 확인하였고, 적절한 밀도 분포와 내부 기공을 고려하게 되면, 해석에서 구해진 최대 인장 강도가 근사적으로 실험결과와 일치하는 것을 볼 수 있었다. 또한, 발포 알루미늄의 최대 인장 강도는 밀도 분포의 표준편차보다는 내부 기공 부피분율에 더 민감하게 변하는 것으로 밝혀졌다.