• Title/Summary/Keyword: Homogeneous Solution

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A Study of Structural Stability and Dynamics for Functionally Graded Material Plates and Shells using a 4-node Quasi-conforming Shell Element (4절점 준적합 쉘 요소를 이용한 점진기능재료(FGM) 판과 쉘의 구조적 안정 및 진동 연구)

  • Han, Sung-Cheon;Lee, Chang-Soo;Kim, Gi-Dong;Park, Weon-Tae
    • Journal of the Korean Society of Hazard Mitigation
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    • v.7 no.5
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    • pp.47-60
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    • 2007
  • In this paper, we investigate the natural frequencies and buckling loads of functionally graded material (FGM) plates and shells, using a quasi-conforming shell element that accounts for the transverse shear strains and rotary inertia. The eigenvalue of the FGM plates and shells are calculated by varying the volume fraction of the ceramic and metallic constituents using a sigmoid function, but their Poisson's ratios of the FGM plates and shells are assumed to be constant. The expressions of the membrane, bending and shear stiffness of FGM shell element are more complicated combination of material properties than a homogeneous element. In order to validate the finite element numerical solutions, the Navier's solutions of rectangular plates based on the first-order shear deformation theory are presented. The present numerical solutions of composite and sigmoid FGM (S-FGM) plates are proved by the Navier's solutionsand various examples of composite and FGM structures are presented. The present results are in good agreement with the Navier's theoretical solutions.

Study on Photocatalytic Reaction Using Acicular TiO2 Rutile Powder (침상구조의 루틸상 TiO2 초미분체를 이용한 광촉매 반응에 대한 연구)

  • Hwang, Doo-Sun;Ku, Suk-Kyeong;Kim, Kwang-Su;Min, Hyung-Seob;Lee, Eun-Gu;Kim, Sun-Jae
    • Korean Journal of Materials Research
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    • v.12 no.8
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    • pp.641-649
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    • 2002
  • The redox properties of a homogeneously-precipitated $TiO_2$ rutile powder with a BET surface area of ~$200 m^2$/g, consisting of an acicular primary particle, were characterized using photocatalytic reaction in aqueous 4-chlorophenol, Cu-EDTA and Pb-EDTA solutions under ultraviolet irradiation, compared to those of commercial P-25 X$200 m_2$ powder with a spherical primary particle as well as home-made anatase $TiO_2$ powder with ~$200 m^2$/g BET surface area. Here, the anatase powder also includes mainly the primary particles very similar to the acicular shapes of the rutile $TiO_2$ powder. The rutile powder showed the fastest decomposition rate and the largest amount in the photoredor, compared with the anatase or P-25 powder, while the anatase powder unexpectedly showed the slowest rate and the smallest amount in the same experiments regardless of almost the same surface area. From results, the excellent photoredox abilities of this rutile powder appears to be due to specific powder preparation method, like a homogeneous precipitation leading to direct crystallization from the solution, regardless of their crystalline structures even when having the similar particle shape and surface area.

Effect of the Interaction between Permeant/Permeant or Permeant/Membrane in the Pervaporative Permeations of Homogeneous Series of Alcohol Aqueous Mixture (투과성분/투과성분, 투과성분/막 상호인력이 알코올/물 혼합용액의 투과증발 특성에 미치는 영향)

  • 이상학;염충균;이정민
    • Membrane Journal
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    • v.9 no.3
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    • pp.163-169
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    • 1999
  • The effects of interactions between permeant molecules or permeant and membrane material have been investigated on the permeation behavior of permeants in pervaporation of water/alcohol mix¬tures. A poly(vinyl alcohol) (PVA) membrane crosslinked with glutaraldehyde was employed in this study. A homologous series of alcohols in aqueous solution were used as feed. The pervaporation experiments were carried out with feed having 70-97 wt.% of alcohol contents and at various feed temperatures. In a high alcohol content above 92 wt.%, the permeation rate was increased in the order of interaction strength between alcohol and water in feed. However, in a low alcohol content below 90 wt.%, the tendency of the permeation rate was found to be opposite. These observations were discussed in terms of changes in interaction between permeant/permeant or permeant/membrane in varying feed composition and feed temperature.

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Gold functionalized-graphene oxide-reinforced acrylonitrile butadiene rubber nanocomposites for piezoresistive and piezoelectric applications

  • Mensah, Bismark;Kumar, Dinesh;Lee, Gi-Bbeum;Won, Joohye;Gupta, Kailash Chandra;Nah, Changwoon
    • Carbon letters
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    • v.25
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    • pp.1-13
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    • 2018
  • Gold functionalized graphene oxide (GOAu) nanoparticles were reinforced in acrylonitrile-butadiene rubbers (NBR) via solution and melt mixing methods. The synthesized NBR-GOAu nanocomposites have shown significant improvements in their rate of curing, mechanical strength, thermal stability and electrical properties. The homogeneous dispersion of GOAu nanoparticles in NBR has been considered responsible for the enhanced thermal conductivity, thermal stability, and mechanical properties of NBR nanocomposites. In addition, the NBR-GOAu nanocomposites were able to show a decreasing trend in their dielectric constant (${\varepsilon}^{\prime}$) and electrical resistance on straining within a range of 10-70%. The decreasing trend in ${\varepsilon}^{\prime}$ is attributed to the decrease in electrode and interfacial polarization on straining the nanocomposites. The decreasing trend in electrical resistance in the nanocomposites is likely due to the attachment of Au nanoparticles to the surface of GO sheets which act as electrical interconnects. The Au nanoparticles have been proposed to function as ball rollers in-between GO nanosheets to improve their sliding on each other and to improve contacts with neighboring GO nanosheets, especially on straining the nanocomposites. The NBR-GOAu nanocomposites have exhibited piezoelectric gauge factor (${GF_{\varepsilon}}^{\prime}$) of ~0.5, and piezo-resistive gauge factor ($GF_R$) of ~0.9 which clearly indicated that GOAu reinforced NBR nanocomposites are potentially useful in fabrication of structural, high temperature responsive, and stretchable strain-sensitive sensors.

Effect of Structural Geometry and Crack Location on Crack Driving Forces for Cracks in Welds (용접부 균열의 균열진전력에 대한 구조물 형상과 균열 위치의 영향)

  • Oh Chang-Kyun;Kim Jong-Sung;Jin Tae-Eun;Kim Yun-Jae
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.30 no.8 s.251
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    • pp.931-940
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    • 2006
  • Defect assessment of a weld zone is important in fitness-for-service evaluation of plant components. Typically a J and $C^*$ estimation method for a defective homogeneous component is extended to a mismatched component, by incorporating the effect due to the strength mismatch between the weld metal and the base material. The key element is a mismatch limit load. For instance, the R6/R5 procedure employs an equivalent material concept, defined by a mismatch limit load. A premise is that if a proper mismatch limit load solution is available, the same concept can be used for any defect location (either a weld centre defect or a heat affected zone (HAZ) defect) and for any material combination (either two-material or multi-material combinations; either similar or dissimilar joints). However, validation is still limited, and thus a more systematic investigation is needed to generalise the suggestion to any geometry, any defect location and any material combination. This paper describes the effect of structural geometry on the $C^*$ integral for defective similar welds, based on systematic elastic-creep 2-D and 3-D finite element (FE) analyses, to attempt to elucidate the questions given above. It is found that the existing 'equivalent material' concept is valid only for limited cases, although it provides conservative estimates of $C^*$ for most of cases. A modification to the existing equivalent material concept is suggested to improve accuracy.

An inclined FGM beam under a moving mass considering Coriolis and centrifugal accelerations

  • Shokouhifard, Vahid;Mohebpour, Saeedreza;Malekzadeh, Parviz;Alighanbari, Hekmat
    • Steel and Composite Structures
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    • v.35 no.1
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    • pp.61-76
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    • 2020
  • In this paper, the dynamic behaviour of an inclined functionally graded material (FGM) beam with different boundary conditions under a moving mass is investigated based on the first-order shear deformation theory (FSDT). The material properties vary continuously along the beam thickness based on the power-law distribution. The system of motion equations is derived by using Hamilton's principle. The finite element method (FEM) is adopted to develop a general solution procedure. The moving mass is considered on the top surface of the beam instead of supposing it on the mid-plane. In order to consider the Coriolis, centrifugal accelerations and the friction force, the contact force method is used. Moreover, the effects of boundary conditions, the moving mass velocity and various material distributions are studied. For verification of the present results, a comparative fundamental frequency analysis of an FGM beam is conducted and the dynamic transverse displacements of the homogeneous and FGM beams traversed by a moving mass are compared with those in the existing literature. There is a good accord in all compared cases. In this study for the first time in dynamic analysis of the inclined FGM beams, the Coriolis and centrifugal accelerations of the moving mass are taken into account, and it is observed that these accelerations can be ignored for the low-speeds of the moving mass. The new provided results for dynamics of the inclined FGM beams traversed by a moving mass can be significant for the scientific and engineering community in the area of FGM structures.

A Study of Characteristics of Soil-Pile-Structure Interaction Behavior on the Frequency Contents of the Seismic Waves (지진파의 주파수 특성에 따른 지반-말뚝-구조물 상호작용계의 거동 특성 분석)

  • 이종우;이필규;김문겸;김민규
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.17 no.3
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    • pp.295-308
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    • 2004
  • In this study, several Soil-Structure-Interaction (SSI) analyses were performed using the developed FE-BE coupling method and the seismic response behavior of the structure's systems was determined. For the verification of the fundamental solution which is used in this analysis method, a dynamic analysis of the homogeneous ground was performed and it was compared to the results of Estorff et al. In order to verify the seismic response analysis, the results are compared with those of another commercial code. Several kindd of SSI analyses were performed and the seismic response associated with the rile foundation, seismic waves and a consideration of the ground nonlinearity were determined. As a result, it was found that the pile foundations didn't greatly helpful during the seismic event.

Schur Algorithm for Sub-bottom Profiling (해저지층 탐사를 위한 Schur 알고리즘)

  • Bae, Jinho;Lee, Chong Hyun;Kim, Hoeyong;Cho, Jung-Hong
    • Journal of the Institute of Electronics and Information Engineers
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    • v.50 no.9
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    • pp.156-163
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    • 2013
  • In this paper, we propose an algorithm for estimating media characteristics of sea water and subbottom multi-layers. The proposed algorithm for estimating reflection coefficients, uses a transmitted signal and reflected signal obtained from multiple layers of various shape and structure, and the algorithm is called Schur algorithm. The algorithm is efficient in estimating the reflection coefficients since it finds solution by converting the given inverse scattering problem into matrix factorization. To verify the proposed algorithm, we generate a transmit signal and reflected signal obtained from lattice filter model for sea water and subbottom of multi-level non-homogeneous layers, and then find that the proposed algorithm can estimate reflection coefficients efficiently.

Aeroelastic analysis of cantilever non-symmetric FG sandwich plates under yawed supersonic flow

  • Hosseini, Mohammad;Arani, Ali Ghorbanpour;Karamizadeh, Mohammad Reza;Afshari, Hassan;Niknejad, Shahriar
    • Wind and Structures
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    • v.29 no.6
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    • pp.457-469
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    • 2019
  • In this paper, a numerical solution is presented for supersonic flutter analysis of cantilever non-symmetric functionally graded (FG) sandwich plates. The plate is considered to be composed of two different functionally graded face sheets and an isotropic homogeneous core made of ceramic. Based on the first order shear deformation theory (FSDT) and linear piston theory, the set of governing equations and boundary conditions are derived. Dimensionless form of the governing equations and boundary conditions are derived and solved numerically using generalized differential quadrature method (GDQM) and critical velocity and flutter frequencies are calculated. For various values of the yaw angle, effect of different parameters like aspect ratio, thickness of the plate, power law indices and thickness of the core on the flutter boundaries are investigated. Numerical examples show that wings and tail fins with larger length and shorter width are more stable in supersonic flights. It is concluded for FG sandwich plates made of Al-Al2O3 that increase in volume fraction of ceramic (Al2O3) increases aeroelastic stability of the plate. Presented study confirms that improvement of aeroelastic behavior and weight of wings and tail fins of aircrafts are not consistent items. It is shown that value of the critical yaw angle depends on aspect ratio of the plate and other parameters including thickness and variation of properties have no considerable effect on it. Results of this paper can be used in design and analysis of wing and tail fin of supersonic airplanes.

Preparation and Characterization of Biomass-based Polymer Blend Films (Biomass-based 고분자 블렌드필름의 제조 및 특성 연구)

  • Lee, Soo;Jin, Seok-Hwan;Lee, Jae-Won
    • Journal of the Korean Applied Science and Technology
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    • v.29 no.1
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    • pp.95-101
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    • 2012
  • To manufacture of a completely biodegradable and compostable biomass -based blend polymer film, two types of cellulose acetates(DS=2.4 and DS=2.7) were blended with 5 - 50 wt% of low average molecular weight polylactide(PLA) by mixing each polymer solution having same viscosity in 10 wt% methanol/dichloromethane. Their surface morphology, thermal and mechanical properties were studied. The chemical structures of blend films were confirmed by the fourier transform IR spectroscopy with attenuated total reflection(FT-IR ATR) spectrophotometer. Scanning electron microscope(SEM) photos of blend films of both CAs with less than 5 % of PLA showed homogeneous morphology. On the contrary, the other blends with higher than 20 wt% of PLA content showed a large phase separation with spherical domains. The thermal property of blend films was also analyzed with thermogravimetric analysis(TGA) and differential scanning calorimeter(DSC). The tensile strength of CA/PLA blend films was increased up to $820kg_f/cm^2$ for TAC/PLA and $600kg_f/cm^2$ for DAC/PLA.