• Title/Summary/Keyword: Inhomogeneous Materials

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A Mixed Variational Principle of Fully Anisotropic Linear Elasticity (이방성탄성문제의 혼합형변분원리)

  • 홍순조
    • Computational Structural Engineering
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    • v.4 no.2
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    • pp.87-94
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    • 1991
  • In this paper, a mixed variational principle applicable to the linear elasticity of inhomogeneous anisotropic materials is presented. For derivation of the general variational principle, a systematic procedure for the variational formulation of linear coupled boundary value problems developed by Sandhu et al. is employed. Consistency condition of the field operators with the boundary operators results in explicit inclusion of boundary conditions in the governing functional. Extensions of admissible state function spaces and specialization to a certain relation in the general governing functional lead to the desired mixed variational principle. In the physical sense, the present variational principle is analogous to the Reissner's recent formulation obtained by applying Lagrange multiplier technique followed by partial Legendre transform to the classical minimum potential energy principle. However, the present one is more advantageous for the application to the general anisotropic materials since Reissner's principle contains an implicit function which is not easily converted to an explicit form.

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Mechanical Properties and Failure Analysis of $Al_2O_3/ZrO_2$ Composites ($Al_2O_3/ZrO_2$복합체의 기계적 물성 및 파괴거동)

  • Hong, Gigon-Hong;Han, Dong-Bin
    • Korean Journal of Materials Research
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    • v.2 no.3
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    • pp.172-179
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    • 1992
  • $Al_2O_3/ZrO_2$ composites were fabricated by pressureless sintering from commercial powders and/or nano composite powder of $Al_2O_3/ZrO_2$. The Properties of the composites such as density, strength, hardness and fracture toughness were evaluated. Microstructures and fracture surfaces ware also examined. The flexural strength remains unchanged(~640 MPa) as long as the content of commercial powders is not extreamly high, and depends on microstructures of the composites. Fracture toughness(4.3-5.3 $Mpa{\cdot}m^{1/2}$) increases with increasing content of commercial powders. Fractography shows that failure-initiating sources are 1)surface flaws resulting from machining damage, 2)crack-shaped voids formed due to $ZrO_2$ agglomeration, and 3)surface separation caused by inhomogeneous blending and by sinterability difference between nato composite powder and commercial powders of $Al_2O_3/ZrO_2$. Failure mode of the composites was mainly transgranular.

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Effect of Sintering Temperature on the Micro Strain and Magnetic Properties of Ni-Zn Nanoferrites

  • Venkatesh, D.;Siva Ram Prasad, M.;Rajesh Babu, B.;Ramesh, K.V.;Trinath, K.
    • Journal of Magnetics
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    • v.20 no.3
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    • pp.229-240
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    • 2015
  • In this study, nanocrystalline ferrite powders with the composition $Ni_{0.5}Zn_{0.5}Fe_2O_4$ were prepared by the autocombustion method. The obtained powders were sintered at $800^{\circ}C$, $900^{\circ}C$ and $1,000^{\circ}C$ for 4 h in air atmosphere. The as-prepared and the sintered powders were characterized by X-ray diffraction (XRD), Fourier transform infrared (FT-IR) spectroscopy, and magnetization studies. An increase in the crystallite size and a slight decrease in the lattice constant with sintering temperature were observed, whereas microstrain was observed to be negative for all the samples. Two significant absorption bands in the wave number range of the $400cm^{-1}$ to $600cm^{-1}$ have been observed in the FT-IR spectra for all samples which is the distinctive feature of the spinel ferrites. The force constants were found to vary with sintering temperature, suggesting a cation redistribution and modification in the unit cell of the spinel. The M-H loops indicate smaller coercivity, which is the typical nature of the soft ferrites. The observed variation in the saturation magnetization and coercivity with sintering temperature has been attributed to the role of surface, inhomogeneous cation distribution, and increase in the crystallite size.

Measurement of Hardness of Constituent Phases in Ti(C0.7N0.3)-NbC-Ni Cermets Using Nanoindentation (나노인덴테이션을 이용한 Ti(C0.7N0.3)-NbC-Ni 써멧 구성상의 경도평가)

  • Kim, Seong-Won;Kim, Dae-Min;Kang, Shin-Hoo;Ryu, Sung-Soo;Kim, Hyung-Tae
    • Journal of Powder Materials
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    • v.15 no.6
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    • pp.482-488
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    • 2008
  • The indentation technique has been one of the most commonly used techniques for the measurement of the mechanical properties of materials due to its experimental ease and speed. Recently, the scope of indentation has been enlarged down to the nanometer range through the development of instrumentations capable of continuously measuring load and displacement. In addition to testing hardness, the elastic modulus of submicron area could be measured from an indentation load-displacement (P-h) curve. In this study, the hardness values of the constituent phases in Ti($C_{0.7}N_{0.3}$)-NbC-Ni cermets were evaluated by nanoindentation. SEM observation of the indented surface was indispensable in order to separate the hardness of each constituent phase since the Ti($C_{0.7}N_{0.3}$)-based cermets have relatively inhomogeneous microstructure. The measured values of hardness using nanoindentation were ${\sim}20$ GPa for hard phase and ${\sim}10$ GPa for binder phase. The effect of NbC addition on hardness was not obvious in this work.

Destructive testing of adhesively bonded joints under static tensile loading

  • Ochsner, A.;Gegner, J.
    • Journal of Adhesion and Interface
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    • v.5 no.2
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    • pp.22-36
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    • 2004
  • Several in-situ testing methods of adhesively bonded joints under static short-time tensile loading are critically analyzed in terms of experimental procedure and data evaluation. Due to its rather homogeneous stress state across the glue line, the tensile-shear test with thick single-lap specimens, according to ISO 11003-2, has become the most important test process for the determination of realistic materials parameters. This basic method, which was improved in both, the experimental part by stepped adherends and easily attachable extensometers and the evaluation procedure by numeric substrate deformation correction and test simulation based on the finite element method (FEM), is therefore demonstrated by application to several kinds of adhesives and metallic adherends. Multi-axial load decreases the strength of a joint. This effect, which is illustrated by an experimental comparison, impedes the derivation of realistic mechanical characteristics from measured force-displacement curves. It is shown by numeric modeling that tensile-shear tests with thin plate substrates according to ISO 4587, which are widely used for quick industrial quality assurance, reveal an inhomogeneous stress state, especially because of relatively large adherend deformation. Complete experimental determination of the elastic properties of bonded joints requires independent measurement of at least two characteristics. As the thick-adherend tensile-shear test directly yields the shear modulus, the tensile butt-joint test according to ISO 6922 represents the most obvious complement of the test programme. Thus, validity of analytical correction formulae proposed in literature for the derivation of realistic materials characteristics is verified by numeric simulation. Moreover, the influence of the substrate deformation is examined and a FEM correction method introduced.

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Thermal Conductivity of Thermally Conductive Ceramic Composites and Silicon Carbide/Epoxy Composites through Wetting Process (세라믹 방열 복합체의 열전도도 분석 및 Wetting Process를 이용한 SiC/에폭시 복합체)

  • Hwang, Yongseon;Kim, Jooheon;Cho, WonChul
    • Polymer(Korea)
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    • v.38 no.6
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    • pp.782-786
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    • 2014
  • Various kinds of thermal conductive ceramic/polymer composites (aluminum nitride, aluminum oxide, boron nitride, and silicon carbide/epoxy) were prepared by a casting method and their optical images were observed by FE-SEM. Among these, SiC/epoxy composite shows inhomogeneous dispersion features of SiC and air voids in the epoxy matrix layer, resulting in undesirable thermal conductive properties. To enhance the thermal conductivities of SiC/epoxy composites, the epoxy wetting method which can directly infiltrate the epoxy droplet onto filtrated SiC cake was employed to fabricate the homogeneously dispersed SiC/epoxy composite for ideal thermal conductive behavior, with maximum thermal conductivity of 3.85W/mK at 70 wt% of SiC filler contents.

The Effects of AI-Alloying Elements on the Melt Oxidation - III. Oxidation Behavior of Pentad Alloy- (AI 합금의 원소가 용융산화에 미치는 영향 -lll. 오원계 합금의 산화거동-)

  • Ha, Yong-Soo;Kim, Chul-Soo;Kang, Chung-Yun;Kim, Il-Soo;Cho, Chang-Hyun
    • Korean Journal of Materials Research
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    • v.8 no.8
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    • pp.672-677
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    • 1998
  • The following work examines the growth rate and microstructure of the $AI_2O_3$-composite formation by melt oxdation of pentad AI-alloys. The I weight % of each metal elements Cu and Ni were added to AI-IMg-3Si-3Zn and AI-IMg- 3Si-5Zn alloys. The diffenent pentad AI-alloys were oxidized 20 hours long at 1373K and 1473K. The oxidation rates were determined by observing the weight gain. The macro- and microstructure of formed oxide layer were examined by optical microscopy. The AI-IMg-3Si-5Zn-lCu alloy revealed the best oxidation behavior, but formedoxide layer was inhomogeneous.The oxidation rate were accelerated, and the uniform growth of the oxide layer with fine microstructure were obtained by putting a thin layer of $SiO_2$ on the surface of the alloy.

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Homogeneity of Microstructure and Mechanical Properties of Ultrafine Grained OFHC Cu Bars Processed by ECAP (ECAP 가공에 의해 제조된 초미세립 OFHC Cu 봉재의 미세조직 및 기계적 특성의 균질성)

  • Ji, Jung Hoon;Park, Lee-Ju;Kim, Hyung Won;Hwang, Si Woo;Lee, Chong Soo;Park, Kyung Tae
    • Korean Journal of Metals and Materials
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    • v.49 no.6
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    • pp.474-487
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    • 2011
  • Bars of OFHC Cu with the diameter of 45 mm were processed by equal channel angular pressing up to 16 passes via route $B_c$, and homogeneity of their microstructures and mechanical properties was examined at every four passes which develop the equiaxed ultrafine grains. In general, overall hardness, yield strength and tensile strength increased by 3, 7, and 2 times respectively compared with those of unECAPed sample. Cross-sectional hardness exhibited a concentric distribution. Hardness was the highest at the center of bar and it decreased gradually from center to surface. After 16 passes, overall hardness decreased due to recovery and partial recrystallization. Regardless of the number of passage, yield strength and tensile strength were quite uniform at all positions, but elongation showed some degree of scattering. At 4 passes, coarse and ultrafine grains coexisted at all positions. After 4 passes, uniform equiaxed ultrafine grains were obtained at the center, while uniform elongated ultrafine grains were manifested at the upper half position. At the lower half position, grains were equiaxed but its size were inhomogeneous. It was found that inhomogeneity of grain morphology and grain size distribution at different positions are to be attributed to scattering in elongation but they did not affect strength. The present results reveal the high potential of practical application of equal channel angular pressing on fabrication of large-sized ultrafine grained bars with quite homogeneous mechanical properties.

Investigating the Effect of Homogenization Heat Treatment on the Microstructure and Texture of Magnesium Alloy Sheet Manufactured via Twin Roll Casting (트윈롤 주조법으로 제조된 마그네슘합금 판재의 균질화 열처리에 따른 미세조직 및 집합조직 발달)

  • Lee, Hee Jae;Park, No Jin
    • Journal of the Korean Society for Heat Treatment
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    • v.34 no.3
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    • pp.122-129
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    • 2021
  • This study focuses on the microstructural development of 99% magnesium alloy sheet manufactured using twin roll casting (TRC) process. Herein, a plate with a thickness of 5 mm was manufactured using the TRC process, homogenization heat treatment was performed at 400℃ for 2-32 h, and finally, the change in microstructure was evaluated via optical microscopy and textural analysis. The results suggest that the plate manufactured using the TRC process was not destroyed and was successfully rolled into a plate. Microscopic observation suggested that the dendritic cast structure was arranged along the rolling direction. And the central layer of the rolled plate, where was present in a liquid state at the beginning of rolling, solidified later during the TRC process to form central segregation. The initial cast structure and inhomogeneous structure of the plate were recrystallized by homogenization heat treatment for only 2 h, and it was confirmed that the segregated part of the central layer became homogeneous and recrystallization occurred. Grain growth occurred as the heat treatment time increased, and secondary recrystallization occurred, wherein only some grains were grown. The textural analysis, which was conducted via X-ray diffraction, confirmed that the relatively weak basal plane texture developed using the TRC process was formed into a random texture after heat treatment.

Synthesis and characterization of perovskite nano-sized (Pb, La)$TiO_3$ powder using mechano chemical process (기계화학공정을 이용한 Perovskite 구조의 (Pb, La)$TiO_3$ 나노 분말 합성 및 특성)

  • Lim, Bo-Ra-Mi;Yang, Jae-Kyo;Lee, Dong-Suk;Noh, Tae-Hyung;Seo, Jung-Hye;Lee, Youn-Seoung;Kim, Hee-Taik;Choa, Yong-Ho
    • Journal of the Korean Crystal Growth and Crystal Technology
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    • v.18 no.5
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    • pp.200-204
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    • 2008
  • Mechano Chemical Process (MCP) skips the calcinations steps at an intermediate temperature that is always required in the conventional solid-state reaction because forming phase from raw powder is activated by mechanical energy. In this study, we prepared (Pb, La)$TiO_3$ nanopowder with perovskite structure by only high energy MCP. Especially, the PLT nanopowder was synthesized without any thermal treatment using oxides, not salts as raw powder. This process is also very simple due to dry milling method, unnecessary to dry of powder. The oxide powder was milled up to 12 hr at intervals of an hour using MCP and the pure PLT phase of perovskite structure was formed after milling time of 3 hr. And the average particle size was 20 nm with narrow distribution after milling time of 3 hr from raw powder of several $\mu m$ with inhomogeneous distribution.