• Title/Summary/Keyword: Volume fraction

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Topology Optimization of Continuum Structures Using a Nodal Volume Fraction Method

  • Lee, Jin-Sik;Lim, O-Kaung
    • Computational Structural Engineering : An International Journal
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    • v.1 no.1
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    • pp.21-29
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    • 2001
  • The general topology optimization can be considered as optimal material distribution. Such an approach can be unstable, unless composite materials are introduced. In this research, a nodal volume fraction method is used to obtain the optimum topology of continuum structures. This method is conducted from a composite material model composed of isotropic matter and spherical void. Because the appearance of the chessboard patterns makes the interpretation of the optimal material layout very difficult, this method contains a chessboard prevention strategy. In this research, several topology optimization problems are presented to demonstrate the validity of the present method and the recursive quadratic programming algorithm is used to solve the topology optimization problems.

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Effects of Carbon Black Morphology and Loading Level on the Physical Properties of Natural Rubber Compound (카본블랙의 형태 특성이 천연고무 배합 물성에 미치는 영향)

  • Choi, Kwan-Young;Yoon, Jae-Ryong;Kim, Hwi-Joong
    • Elastomers and Composites
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    • v.33 no.1
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    • pp.17-26
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    • 1998
  • Natural rubber was filled with 8 commercial carbon blacks covering range of rubber-grade products at different levels of filler loadings in order to investigate physical compound and vulcanizate properties. It was found that the curves of rubber property vs filler loading of both uncured compounds and vulcanizates can be superposed to one single master curve by introducing an effective volume fraction which is based on CDBP. The effective volume fraction, $V_{EFF}$ was utilized to explain the variation of the stiffness of all rubber compounds. The surface area-corrected effective volume fraction, V', was utilized to explain the formation of bound rubber, rebound and lambourn wear.

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Analysis of Effective Anisotropic Elastic Constants and Low-Velocity Impact of Biomimetic Multilayer Structures (생체구조를 모방한 다층복합재료의 이방성 유효탄성계수 및 저속 충격 해석)

  • Lee, Jong-Won;Beom, Hyeon-Gyu
    • Journal of the Korean Society for Precision Engineering
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    • v.29 no.11
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    • pp.1245-1255
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    • 2012
  • Effective elastic constants of biomimetic multilayer structures with hierarchical structures are evaluated based on the potential energy balance method. The effective anisotropic elastic constants are used in analyzing low-velocity impact of biomimetic multilayer structures consisting of mineral and protein. It is shown that displacements of biomimetic multilayer structures strongly depend on the volume fraction of mineral and hierarchical level. The effect of the volume fraction of mineral and hierarchical level on the contact force and stresses at the impact point are also discussed.

A study on fatigue life of Al 7075/CFRP multilayered hybrid composite materials (Al 7075/CFRP 다적층 하이브리드 복합재료의 피로수명에 대한 연구)

  • 윤한기;김연겸;박준수;이경봉
    • Journal of Ocean Engineering and Technology
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    • v.10 no.4
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    • pp.92-102
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    • 1996
  • In this research, to develope the A1 7075/CFRP multilayered hybrid composites, CRALL(Carbon Reinforced aluminum lamiate) specimens were processed by autoclavecuring system that curing temperature, time, surface pretreatment condition of aluminum were constant. Andthe fatigye life and failure mechanism on CFRP volume fraction and fiber orientation of CRALLspecimens were investigated. A fatigue life was greatly influenced by effect of CFRP fiber volume fraction but it was less effected than those of fiber orientation. The fatigue failure arised from interface delamination of CFRP and aluminum sheet after shear fracture of aluminum layer. The failure mechanism is assumed that the aluminum laminates which divide the CFRP into many thim layers tend to arrest the failure propagation.

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Fractal analysis on fracture toughness of particulate composites (입자강화 복합재료의 파괴인성에 관한 프랙탈 해석)

  • 김엄기;남승훈;고성위
    • Journal of Ocean Engineering and Technology
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    • v.10 no.4
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    • pp.84-91
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    • 1996
  • A fractal analysis on fracture surface of aluminium-particulate SiC composites was attempted. As the volume fraction of SiC in composites increases, the fractal dimension tends to increase. However, no correlation between the fractal dimension and the fracture toughness in terms of critical energy release rate was observed. Since the fractal dimension represents the roughness of fracture surface, the fracture toughness would be a function of not only fracture surface roughness but also additional parameters. Thus the applicability of fractal analysis to the estimation of fracture toughness must depend on the proper choice and interpretation of additioal paramerters. In this paper, the size of characteristic strctural unit for fracture was considered as an additional parameter. As a result, the size appeared to be a function of only volume fraction of SiC. Finally, a master curve for fracture toughness of aluminium-particulate SiC composites was proposed as a function of fractal dimension and volume fraction of SiC.

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Variation of Dielectric Constant with the Volume Fraction of Pyrochlore Phae in the PMN-Polychlore Diphasic System ; Application of General Effective Media Equation (Pyrochlore상의 부피분율에 따른 PMN-Pyrochlore 2상 혼합체의 유전율변화;General Effective Media식의 적용)

  • 허강일;김정주;김남경;김진호;조상희
    • Journal of the Korean Ceramic Society
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    • v.30 no.1
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    • pp.78-84
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    • 1993
  • In PMN-pyrochlore phase mixtures, dielectric constant was measured as a function of the volume fraction of pyrochlore phase and considered with general effective media(GEM) equation. For the application of GEM equation to this system, the critical volume fraction(Vc) where connectivity between the perovskite PMN and pyrochlore phase changed from 0-3 to 3-3, was determined based on the each particle size ratio of two phases with microstructural observation. And then the t value was determined from modified percolation powder-law dependence ( K-Kc (V-Vc)t). In the case of applying such values of t and Vc to the GEM equation, which provided a reasonable fit to the measured dielectric constant within the experimental error range.

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NUMERICAL DIFFUSION DECREASE OF FREE-SURFACE FLOW ANALYSIS USING SOURCE TERM IN VOLUME FRACTION TRANSPORT EQUATION (볼륨비 이송방정식의 소스항을 이용한 자유수면 유동 해석의 해 확산 감소)

  • Park, Sunho;Rhee, Shin Hyung
    • Journal of computational fluids engineering
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    • v.19 no.1
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    • pp.15-20
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    • 2014
  • Accurate simulation of free-surface wave flows around a ship is very important for better hull-form design. In this paper, a computational fluid dynamics (CFD) code, termed SNUFOAM, which is based on the open source libraries, OpenFOAM, was developed to predict the wave patterns around a ship. Additional anti-diffusion source term for minimizing a numerical diffusion, which was caused by convection differencing scheme, was considered in the volume-fraction transport equation. The influence of the anti-diffusion source term was tested by applying it to free-surface wave flow around the Wigley model ship. In results, the band width of the volume fraction contours between 0.1 to 0.9 at the hull surface was narrowed by considering the anti-diffusion term.

Dynamic Response Analysis of Rotating Functionally Graded Thin-Walled Blades Exposed to Steady High Temperature and External Excitation (고온에서 외부 가진력을 받는 회전하는 경사기능 박간 블레이드의 동적응답 해석)

  • Na Sunsoo;Oh Byungyoung
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.29 no.7 s.238
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    • pp.976-982
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    • 2005
  • This paper is dedicated to the thermoelastic modeling and dynamic response of the rotating blades made of functionally graded ceramic-metal based materials. The blades are modeled as non-uniform thin walled beams fixed at the hub with various selected values of setting angles and pre-twisted angles. In this study, the blade is rotating with a constant angular velocity and exposed to a steady temperature field as well as external excitation. Moreover, the effect of the temperature gradient through the blade thickness is considered. Material properties are graded in the thickness direction of the blade according to the volume fraction power law distribution. The numerical results highlight the effects of the volume fraction, temperature gradient, taper ratio, setting angle and pre-twisted angle on the dynamic response of bending-bending coupled beam characteristics and pertinent conclusions are outlined.

Improvement of Plastic Deformation in Hetrogeneous Atomic Cu-Zr Amorphous Alloy with Distributed Nanocrystals

  • Park, Jun-Young;Shibutani, Yoji;Wakeda, Masato
    • Proceedings of the KSME Conference
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    • 2008.11a
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    • pp.1718-1722
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    • 2008
  • This study explores the influence of volume fraction of nanocrystals of Cu-Zr amorphous alloys on shear band formation. As the number of crystals with very tiny size increases, the strain localization, i.e. shear band, decreases without large drop of flow stress. The DPRs also depict no sudden drop and relatively high values. The strain state during the deformation represents a few shear bands at low volume fraction while there are no distinguishable shear bands at high volume fraction of nanocrystals.

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Effect of Volume Fraction of Chromium Carbide on Fracture Toughness of the Iron/Chromium Hardfacing Alloy (철/크롬 오버레이합금의 파괴인성에 미치는 크롬탄화물 양의 영향)

    • Journal of Welding and Joining
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    • v.16 no.2
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    • pp.64-72
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    • 1998
  • This study aims a investigating the effect of volume fraction of chromium carbide phase(VFC) of hardfaced iron/chromium alloys on fracture toughness. The alloys were deposited twice on a mild steel plate using self-shielding flux cored arc welding process. In order to examine VFC effect, different VFC (0.28∼0.62) were employed by changing the Cr and C content, while the ratio of Cr/C was fixed in the range of 5.7∼6.6. Fracture toughness was constant as increasing VFC because fracture surface was developed in the eutectic phase which was growing parallel with introduced sharp notch in the hypoeutectic alloys, but fracture toughness did not decreased in spite of increasing volume fraction of coarse primary chromium carbide phase which was easily craced at the low stress because the growth direction of chromium carbide phase were more irregular as increasing VFC in the hypereutectic alloys.

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