• Advances in materials Research
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• 제5권4호
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• pp.263-277
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• 2016

Mechanical properties of $Al/Al_2O_3$ and $Al/B_4C$ composites prepared through powder metallurgy are estimated up to 50% $Al_2O_3$ and 35% $B_4C$ weight fractions using micromechanics models and experiments. The experimental Young's modulus up to 0.40 weight fraction of ceramic is found to lie closely between Ravichandran's/Hashin-Shtrikman lower/upper bounds, and close to self consistent method/Miller and Lannutti method/modified rule of mixture/fuzzy logic method single value predictions. Measured Poisson's ratio lies between rule of mixture/Ravichandran lower and upper bound/modified Ravichandran upper bounds. Experimental Charpy energy lies between Hopkin-chamis method/equivalent charpy energy/Ravichandran lower limit up to 20%, and close to the reciprocal rule of mixture for higher $Al_2O_3$ content. Rockwell hardness (RB) and Micro-hardness of $Al/Al_2O_3$ are closer to modified rule of mixture predictions.

• Wind and Structures
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• 제21권3호
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• pp.273-287
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• 2015

In this paper, a free vibration analysis of functionally graded beam made of porous material is presented. The material properties are supposed to vary along the thickness direction of the beam according to the rule of mixture, which is modified to approximate the material properties with the porosity phases. For this purpose, a new displacement field based on refined shear deformation theory is implemented. The theory accounts for parabolic distribution of the transverse shear strains and satisfies the zero traction boundary conditions on the surfaces of the beam without using shear correction factors. Based on the present refined shear deformation beam theory, the equations of motion are derived from Hamilton's principle. The rule of mixture is modified to describe and approximate material properties of the FG beams with porosity phases. The accuracy of the present solutions is verified by comparing the obtained results with the existing solutions. Illustrative examples are given also to show the effects of varying gradients, porosity volume fraction, aspect ratios, and thickness to length ratios on the free vibration of the FG beams.

• 통합자연과학논문집
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• 제6권4호
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• pp.251-255
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• 2013

For the mean vector of a p-variate normal distribution ($p{\geq}4$), the optimal estimation within the class of modified James-Stein type decision rules under the quadratic loss is given when the underlying distribution is that of a variance mixture of normals and when the norm ${\parallel}{\theta}-\bar{\theta}1{\parallel}$ it known.

• Advances in materials Research
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• 제9권2호
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• pp.115-131
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• 2020

Limit elastic speed analysis of Al/SiC-based functionally graded annular disk of uniform thickness has been carried out for two cases, namely: metal-rich and ceramic rich. In the present study, the unknown field variable for radial displacement is solved using variational method wherein the solution was obtained by Galerkin's error minimization principle. One of the objectives was to identify the variation of induced stress in a functionally graded disk of uniform thickness at limit elastic speed using modified rule of mixture by comparing the induced von-Mises stress with the yield stress along the disk radius, thereby locating the yield initiation. Furthermore, limit elastic speed has been reported for a combination of varying grading index (n) and aspect ratios (a/b).Results indicate, limit elastic speed increases with an increase in grading indices. In case of an increase in aspect ratio, limit elastic speed increases up to a critical value beyond which it recedes. Also, the objective was to look at the variation of yield stress corresponding to volume fraction variation within the disk which later helps in material tailoring. The study reveals the qualitative variation of yield stress for FG disk with volume fraction, resulting in the possibility of material tailoring from the processing standpoint, in practice.

• 폴리머
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• 제24권6호
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• pp.810-819
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• 2000

Poly(p-hydroxybenzoate) (PHB)/poly(ethylene terephthalate) (PET) 8/2 공중합 폴리에스터 액정고분자와 poly(ethylene 2,6-naphthalate) (PEN), PET를 용융방사하여 인장탄성률을 측정하고, 55$^{\circ}C$ ο-chlorophenol 에서 2시간 동안 모재인 PEN/PET부분을 용출시킨 후, 용출되지 않은 PHB 피브릴을 전자현미경으로 조사하였다. 모재고분자 속에 존재하는 피브릴이 단섬유일 때 적용하는 Halpin-Tsai식과 피브릴이 연속상일 경우 적용하는 혼합의 법칙을 사용하여 이론적인 탄성률을 계산하고, 측정된 탄성률과 비교하였다. 이론적 탄성률과 측정된 탄성률의 차이를 보정하기 위하여 무차원 점도비 상수 (K)를 정의하고, K를 적용하여 기존의 식을 변형하였다. 변형된 Halpin-Tsai식과 혼합의 법칙을 통해 계산된 이론적인 탄성률은 용융방사를 통해 제조된 복합재료의 탄성률 계산에 더 적합함을 확인하였다.

• 한국항공우주학회지
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• 제40권7호
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• pp.564-573
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• 2012

새롭게 제안된 공력 설계 절차와 In-house 프로그램을 이용하여 1 MW급 수평축풍력 터빈 블레이드의 형상을 결정하였고, 기존에 개발된 블레이드의 실험 결과와 본 연구에서 제안한 블레이드와의 비교를 통하여 공력 설계에 대한 타당성을 제시하였다. 블레이드의 구조 설계는 Netting Rule과 Rule of Mixture를 적용하여 설계를 진행하였다. 설계된 블레이드의 구조적 안전성은 상업적 유한요소프로그램인 MSC.NASTRAN을 사용하여 다양한 하중에 따라 선형 정적해석, 변형해석, 좌굴해석, 진동모드해석 등을 수행하였다. 최종적으로 Spera가 제시한 실험식을 적용하여 요구된 피로수명에 대해 타당성을 확인하였다.

• 한국항공우주학회지
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• 제48권9호
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• pp.663-670
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• 2020

2.5D C/SiC를 적용한 구조물의 거동 특성을 유한요소해석으로 근사하기 위해 기계적 물성 특성화와 모델링 기법에 관한 연구를 수행하였다. 2.5D C/SiC 소재의 거동 특성을 분석하기 위해 인장시험을 수행하였고 수학적 균질화 기법과 수정된 혼합 법칙을 적용하여 2.5D C/SiC를 구성하는 섬유와 기지의 탄성 물성을 정의하였다. 탄소성 거동을 나타내는 기지는 소성 영역의 거동을 bilinear 함수로 근사하고 시험과 해석의 오차를 최소화하여 등가 항복 강도와 등가 소성 강성을 계산하였다. 그리고 2.5D C/SiC의 RVE를 정의하고 수정된 혼합 법칙을 적용하여 유효강성행렬을 계산하는 과정을 ABAQUS의 User-defined subroutine을 통해 구성하였다. 제안된 과정을 바탕으로 정의된 섬유와 기지의 기계적 물성을 적용하여 유한요소해석을 수행한 결과는 시험의 거동을 잘 근사하고 있음을 확인하였다.

• Steel and Composite Structures
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• 제28권5호
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• pp.541-557
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• 2018

This paper presents the influence of carbon nanotubes (CNTs) waviness and aspect ratio on the vibrational behavior of functionally graded nanocomposite sandwich annular sector plates resting on two-parameter elastic foundations. The carbon nanotube-reinforced (CNTR) sandwich plate has smooth variation of CNT fraction along the thickness direction. The distributions of CNTs are considered functionally graded (FG) or uniform along the thickness and their mechanical properties are estimated by an extended rule of mixture. In this study, the classical theory concerning the mechanical efficiency of a matrix embedding finite length fibers has been modified by introducing the tube-to-tube random contact, which explicitly accounts for the progressive reduction of the tubes' effective aspect ratio as the filler content increases. Effects of CNT distribution, volume fraction, aspect ratio and waviness, and also effects of Pasternak's elastic foundation coefficients, sandwich plate thickness, face sheets thickness and plate aspect ratio are investigated on the free vibration of the sandwich plates with wavy CNT-reinforced face sheets. The study is carried out based on three-dimensional theory of elasticity and in contrary to two-dimensional theories, such as classical, the first- and the higher-order shear deformation plate theories, this approach does not neglect transverse normal deformations. The sandwich annular sector plate is assumed to be simply supported in the radial edges while any arbitrary boundary conditions are applied to the other two circular edges including simply supported, clamped and free.

• Composites Research
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• 제13권1호
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• pp.50-60
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• 2000

본 연구는 섬유/입자 혼합금속복합재료의 강화기구를 분석하는 이론적 해석방법을 제시하였다. 혼합금속복합재료의 인장강도 및 탄성계수는 같은 보강재의 부피분율 가진 단섬유복합재료에 비해서 강도가 최대 20%까지 증가한다. 이러한 증가효과는 본 연구에서 새로이 제안된 클러스터 모델을 도입한 후 이에 따른 강화효과를 Modified Rule of Mixture을 적용하여 분석하였다. 해석결과 클러터구조는 인장강도에 대해서 섬유의 효율을 탄성계수에 대해서는 배향인자를 증가시키는 것으로 나타났다. 이론적 해석 결과는 $Al_2O_3$섬유/입자 예비성형체에 AC8A를 침투시켜 제조한 금속복합재료에 대한 실험결과와 비교되었으며 이를 통해 해석이론이 타당함을 확인하였다.

• Journal of Mechanical Science and Technology
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• 제16권5호
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• pp.666-675
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• 2002

Piezoelectric Fiber Composites with Interdigitated Electrodes (PFCIDE) were previously introduced as an alternative to monolithic wafers with conventional electrodes for applications of structural actuation. This paper is an investigation into the performance improvement of piezoelectric fiber composite actuators by changing the matrix material. This paper presents a modified micro-electromechanical model and numerical analyses of piezoelectric fiber/piezopolymer matrix composite actuator with interdigitated electrodes (PFPMIDE). Various concepts from different backgrounds including three-dimensional linear elastic and dielectric theories have been incorporated into the present linear piezoelectric model. The rule of mixture and the modified method to calculate effective properties of fiber composites were extended to apply to the PFPMIDE model. The new model was validated when compared with available experimental data and other analytical results. To see the structural responses of a composite plate integrated with the PFPMIDE, three-dimensional finite element formulations were derived. Numerical analyses show that the shape of the graphite/epoxy composite plate with the PFPMIDE may be controlled by judicious choice of voltages, piezoelectric fiber angles, and elastic tailoring of the composite plate.