• Title/Summary/Keyword: homogenization theory

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Determination of the Representative Elementary Volume of Granite by Using Homogenization Theory (균질화법을 이용한 화강암의 대표요소체적 산정에 환한 연구)

  • 서용석;도미란;오대열;홍성완;배규진;김교원
    • Proceedings of the Korean Society for Rock Mechanics Conference
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    • 2000.09a
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    • pp.55-61
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    • 2000
  • For proper sampling of a rock and preparation of specimens, the representative elementary volume (REV) should be determined in rock mechanical test and numerical analysis. Mechanical properties of a rock, in general, would be strongly affected by mineral composition. In this reason REV of Youngju granite is determined by using stereoscopic microscope observation and homogenization numerical analysis. As the area of analysis model exceeds approximately 702 $ extrm{mm}^2$(900 elements), the change of the mineral composition is not observed. The calculated results indicate that Young's modulus is fluctuated with increase of the number of elements in homogenization numerical analysis mesh. However, as the number of elements exceeds 1156 (area of about 900 $ extrm{mm}^2$), Young's modulus does not change apparently.

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Determination of the Representative Elementary Volume of Granite by Using Homogenization Theory (균질화법을 이용한 화강암의 대표요소체적 산정에 관한 연구)

  • 서용석;도미란;오대열;홍성완;배규진;김교원
    • Tunnel and Underground Space
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    • v.10 no.3
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    • pp.309-315
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    • 2000
  • For proper sampling of a rock and preparation of specimens, the representative elementary volume (REV) should be determined in rock mechanical test and numerical analysis. Mechanical properties of a rock, in general, would be strongly affected by mineral composition. In this reason REV of Youngju granite is determined by using stereoscopic microscope observation and homogenization numerical analysis. As the area of analysis model exceeds approximately 702$\textrm{mm}^2$(900 elements), the change of the mineral composition is not observed. The calculated results indicate that Young's modulus is fluctuated with increase of the number of elements in homogenization numerical analysis mesh. However, as the number of elements exceeds 1156 (area of about 900$\textrm{mm}^2$), Young's modulus does not change apparently.

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Vibration Analysis of Stiffened Corrugated Composite Plates (보강된 적층 복합재료 주름판의 진동해석)

  • Park, Kyung-Jo;Kim, Young-Wann
    • Composites Research
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    • v.33 no.6
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    • pp.377-382
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    • 2020
  • The free vibration characteristics of corrugated laminated composite plates with axial stiffeners is investigated using the Rayleigh-Ritz method. The plate is stiffened by beams with open cross-section area. The equivalent homogenization model is used for the corrugated laminated composite plates. This homogenization model is treated a corrugated plate as an orthotropic plate that has different material properties in two perpendicular directions. The motion of equivalent plate is represented on the basis of the first order shear deformation theory (FSDT) to account for the effect of rotary inertia and transverse shear deformation. Stiffeners are considered as discrete elements to predict the local vibration mode to be generated by the presence of stiffeners. To validate the proposed analytical approach, natural frequencies and vibration mode shapes from the analytical method are compared with those from the FEA by ANSYS.

기하양상을 고려한 균열 내 투수계수 산정

  • ;Ichikawa Y.
    • Proceedings of the Korean Society of Soil and Groundwater Environment Conference
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    • 2004.09a
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    • pp.159-163
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    • 2004
  • This study was conducted to calculate the permeability coefficient in a single fracture while taking the true fracture geometry into consideration. The fracture geometry was measured using the confocal laser scanning microscope (CLSM). The CLSM geometry data were used to reconstruct a fracture model for numerical analysis using a homogenization analysis (HA) method. The HA is a new type of perturbation theory developed to characterize the behavior of a micro-inhomogeneous material that involves periodic microstructures. The HA permeability was calculated based on the local geometry and local material properties (water viscosity in this case). The results show that the permeability coefficients do not follow the theoretical relationship of the cubic law.

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The Globalization Shown at Fashion Collections in the Second Half of 1990′s Focused on Paris . London . Milan . New York . Tokyo - Seoul (1990년대 후반의 패션 컬렉션에 나타난 세계화 현상 -파리 .런던 .밀라노 .뉴욕 .도쿄 .서울의 컬렉션을 중심으로 -)

  • 김서연;박길순
    • The Research Journal of the Costume Culture
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    • v.9 no.6
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    • pp.881-892
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    • 2001
  • Applying the globalization theory to the fashion phenomena which regarded the phenomena of the contemporary culture as globalization, this study had an object of looking into the globalization tendency of the fashion phenomena shown Paris, London, Milno, New York, Tokyo, and Seoul collections from 1995 to 1999. The results of this study were as follows; 1. It was the blend of romanticism that was the most common trend shown at the six world collections. 2. The works appeared at the six world collections showed the regional peculiarity under the historical background or the sociocultural influence each city had. 3. Another character appeared at the six city collections was the appearance of multi-ethnic style mixed various regional motive at a work. After all, the world fashion phenomena in the second half of 1990's could be condensed into globalization appeared homogenization, regionalization and hybridization at the same time.

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Homogenized elastic properties of graphene for moderate deformations

  • Marenic, Eduard;Ibrahimbegovic, Adnan
    • Coupled systems mechanics
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    • v.4 no.2
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    • pp.137-155
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    • 2015
  • This paper presents a simple procedure to obtain a substitute, homogenized mechanical response of single layer graphene sheet. The procedure is based on the judicious combination of molecular mechanics simulation results and homogenization method. Moreover, a series of virtual experiments are performed on the representative graphene lattice. Following these results, the constitutive model development is based on the well-established continuum mechanics framework, that is, the non-linear membrane theory which includes the hyperelastic model in terms of principal stretches. A proof-of-concept and performance is shown on a simple model problem where the hyperelastic strain energy density function is chosen in polynomial form.

Vibration characteristics of advanced nanoplates in humid-thermal environment incorporating surface elasticity effects via differential quadrature method

  • Ebrahimi, Farzad;Heidari, Ebrahim
    • Structural Engineering and Mechanics
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    • v.68 no.1
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    • pp.131-157
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    • 2018
  • In this study, Eringen nonlocal elasticity theory in conjunction with surface elasticity theory is employed to study nonlinear free vibration behavior of FG nano-plate lying on elastic foundation, on the base of Reddy's plate theory. The material distribution is assumed as a power-law function and effective material properties are modeled using Mori-Tanaka homogenization scheme. Hamilton's principle is implemented to derive the governing equations which solved using DQ method. Finally, the effects of different factors on natural frequencies of the nano-plate under hygrothermal situation and various boundary conditions are studied.

The Method Research for Analyzing Contemporary Fashion Phenomena - Focused on Mass Culture Theory -

  • Kim, Seo-Youn;Park, Kil-Soon
    • The International Journal of Costume Culture
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    • v.4 no.3
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    • pp.195-202
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    • 2001
  • Re purpose of this study is to indicate the framework to analyze the contemporary fashion phenomena taking on aspect as above by grafting the mass culture theory onto the study for fashion phenomena. The contemporary culture phenomena look like a same thing apparently, but various individual characters appeared in them. And all cultures are mixed in the name of mass culture, but the subordinate concepts which can classify the culture are still in existence. And this equally appear in the contemporary fashion, one of culture phenomena. The concept of the contemporary mass culture can be explained with the taste culture, Cans' theory indicated, divided into highbrow culture, middlebrow culture, and lowbrow culture. And the phenomena of the contemporary mass culture also can be explained with globalization that came down to homogenization, regionalization hybridization.

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On propagation of elastic waves in an embedded sigmoid functionally graded curved beam

  • Zhou, Linyun;Moradi, Zohre;Al-Tamimi, Haneen M.;Ali, H. Elhosiny
    • Steel and Composite Structures
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    • v.44 no.1
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    • pp.17-31
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    • 2022
  • This investigation studies the characteristics of wave dispersion in sigmoid functionally graded (SFG) curved beams lying on an elastic substrate for the first time. Homogenization process was performed with the help of sigmoid function and two power laws. Moreover, various materials such as Zirconia, Alumina, Monel and Nickel steel were explored as curved beams materials. In addition, curved beams were rested on an elastic substrate which was modelled based on Winkler-Pasternak foundation. The SFG curved beams' governing equations were derived according to Euler-Bernoulli curved beam theory which is known as classic beam theory and Hamilton's principle. The resulted governing equations were solved via an analytical method. In order to validate the utilized method, the obtained outcomes were compared with other researches. Finally, the influences of various parameters, including wave number, opening angle, gradient index, Winkler coefficient and Pasternak coefficient were evaluated and indicated in the form of diagrams.

Miscibility of Branched Polycarbonate Blends with Poly(ethylene-co-1,4-dimethyl cyclohexane terephthalate) Copolyesters

  • Song, Jeong-Oh;Jeon, Mi-Young;Kim, Chang-Keun
    • Macromolecular Research
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    • v.15 no.7
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    • pp.640-645
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    • 2007
  • The phase behavior of branched polycarbonate (BPC) blends with poly(ethylene terephthalate-co-1,4-dimethyl cyclohexane terephthalate) copolyesters (PECT), as well as their rheological properties, were assessed. Even though BPC blends with PECT prepared by solvent casting proved to be immiscible, BPC and PECT copolyesters containing 1,4-dimethyl cyclohexane (CHDM) from 32 to 80 mole% formed homogeneous mixtures upon heating. The homogenization temperatures of the blends decreased with increasing CHDM content in PECT. The interaction energies of the BPC-PECT pairs calculated from the phase boundary in accordance with the lattice-fluid theory were positive and also decreased with increasing CHDM content in PECT. It was shown that the phase homogenization of these blends occurs upon heating when the combinatorial entropy term, which is favorable for miscibility, overcomes unfavorable energetic terms at elevated temperatures. A novel product, which is not limited by the drawbacks of linear polycarbonate (PC) and evidences processability superior to that of the PC/PECT blends, can be developed via the blending of BPC and PECT.