• Title/Summary/Keyword: Homogenization Analysis

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Prediction of Homogenization Efficiency using Response Surface Methodology (반응표면분석을 활용한 균질 효율 예측)

  • Kang, Ho Jin;Kang, Shin Ho;Shin, Yong Kook
    • Journal of Dairy Science and Biotechnology
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    • v.35 no.3
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    • pp.202-207
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    • 2017
  • The objective of this study was to analyze the effects of homogenization, storage temperature, and storage period on the creaming of milk fat and changes in fat contents in the upper and lower layers and to predict the conditions for optimal homogenization efficiency using response surface methodology (RSM). The homogenization pressure, storage temperature, and storage period were set as independent variables of RSM, and the dependent variables were creaming, US Public Health Service (USPHS) code, and volume weighted mean diameter ($D_{4,3}$) in the upper and lower layers. Based on the results of RSM and regression analysis, the correlation coefficient ($R^2$) between experimental data and predicted values by RSM for homogenized milk was estimated to be more than 0.8. The RSM analysis indicated that optimal homogenization pressures of 14 MPa or more and 17 MPa or more were required to maintain the creaming layer of 3 mm or less during the storage for 15 days at $10^{\circ}C$ and $20^{\circ}C$, respectively. To keep the USPHS code at less than 10% for 15 days at $10^{\circ}C$ and $20^{\circ}C$, milk should be homogenized with a pressure of 16.8 MPa or more and 17 MPa or more, respectively.

The Finite Element Analysis for Calculations of Equivalent Elastic Constants Using the Homogenization Method (균질화기법과 유한요소법을 이용한 복합재료의 등가탄성계수 산정)

  • Yun, Seong-Ho
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.13 no.1
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    • pp.51-61
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    • 2000
  • This paper discusses the homogenization method to determine effective average elastic constants of a linear structure by considering its microstructure. A detailed description on the homogenization method is given for the linear elastic material and then the finite element approximation is performed for an investigation of elastic properties. An asymptotic expansion is carried out in the cross-section area, or in the unit cell. Two and three lay-up structures made up of individual isotropic constituents are chosen for numerical examples to check discrepancies between results generated by this theoretical development and the conventional approach. Asymptotic characteristics of the process in extracting the stiffness of structure locally formed by spatial repetitions yield underestimated values of stiffness. These discrepancies are detected by the asymptotic corrective term which is ascribed to considerations of microscopic perturbations and proved in the finite element formulation. The asymptotic analysis is the more reasonable in analysing the composite material, rather than the conventional approach to calculate the macroscopic average for elastic properties.

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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.

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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Evaluation of Effective Orthotropic Creep Parameters for Perforated Sheets (다공질 박판의 유효 직교 이방성 크리프 파라미터 계산)

  • Chung Ilsup
    • Journal of the Korean Society for Precision Engineering
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    • v.22 no.2
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    • pp.79-88
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    • 2005
  • Evaluating the effective properties of materials containing various types of in-homogeneities is an important issue in the analysis of structures composed of those materials. A simple and effective method for the purpose is to impose the periodic displacement boundary conditions on the finite element model of a unit cell. Their theoretical background is explained based on the purely kinematical relations in the regularly spaced in-homogeneity problems, and the strategies to implement them into the analysis and to evaluate the homogenized material constants are introduced. The creep behavior of a thin sheet with square arrayed rectangular voids is characterized, where the orthotropy is induced by the presence of the voids. The homogenization method is validated through the comparison of the analysis of detailed model with that of the simplified one with the effective parameters.

A Study on the Optimal Design of Ti-6Al-4V Lattice Structure Manufactured by Laser Powder Bed Fusion Process (Laser Powder Bed Fusion 공정으로 제조된 Ti-6Al-4V 격자 구조물의 최적 설계 기법 연구)

  • Ji-Yoon Kim;Jeongmin Woo;Yongho Sohn;Jeong Ho Kim;Kee-Ahn Lee
    • Journal of Powder Materials
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    • v.30 no.2
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    • pp.146-155
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    • 2023
  • The Ti-6Al-4V lattice structure is widely used in the aerospace industry owing to its high specific strength, specific stiffness, and energy absorption. The quality, performance, and surface roughness of the additively manufactured parts are significantly dependent on various process parameters. Therefore, it is important to study process parameter optimization for relative density and surface roughness control. Here, the part density and surface roughness are examined according to the hatching space, laser power, and scan rotation during laser-powder bed fusion (LPBF), and the optimal process parameters for LPBF are investigated. It has high density and low surface roughness in the specific process parameter ranges of hatching space (0.06-0.12 mm), laser power (225-325 W), and scan rotation (15°). In addition, to investigate the compressive behavior of the lattice structure, a finite element analysis is performed based on the homogenization method. Finite element analysis using the homogenization method indicates that the number of elements decreases from 437,710 to 27 and the analysis time decreases from 3,360 to 9 s. In addition, to verify the reliability of this method, stress-strain data from the compression test and analysis are compared.

Numerical Analysis for the Characteristic Investigation of Homogenization Techniques Used for Equivalent Material Properties of Functionally Graded Material (기능경사 소재 등가 물성치 예측을 위한 균질화 기법의 특성분석을 위한 수치해석)

  • Cho, Jin-Rae;Choi, Joo-Hyoung;Shin, Dae-Sub
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.21 no.1
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    • pp.13-20
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    • 2008
  • Graded layers in which two different constituent particles are mixed are inserted into functionally graded material such that the volume fractions of constituent particles vary continuously and functionally over the entire material domain. The material properties of this dual-phase graded region, which is essential for the numerical analysis of the thermo-mechanical behavior of FGM, have been predicted by traditional homogenization methods. But, these methods are limited to predict the global equivalent material properties of FGMs because the detailed geometry information such as the particel shape and the dispersion structure is not considered. In this context, this study intends to investigate the characteristics of these homogenization methods through the finite element analysis utilizing the discrete micromechanics models of the graded layer, for various volume fractions and external loading conditions.

Effective mechanical properties of micro/nano-scale porous materials considering surface effects

  • Jeong, Joonho;Cho, Maenghyo;Choi, Jinbok
    • Interaction and multiscale mechanics
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    • v.4 no.2
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    • pp.107-122
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    • 2011
  • Mechanical behavior in nano-sized structures differs from those in macro sized structures due to surface effect. As the ratio of surface to volume increases, surface effect is not negligible and causes size-dependent mechanical behavior. In order to identify this size effect, atomistic simulations are required; however, it has many limitations because too much computational resource and time are needed. To overcome the restrictions of the atomistic simulations and graft the well-established continuum theories, the continuum model considering surface effect, which is based on the bridging technique between atomistic and continuum simulations, is introduced. Because it reflects the size effect, it is possible to carry out a variety of analysis which is intractable in the atomistic simulations. As a part of the application examples, the homogenization method is applied to micro/nano thin films with porosity and the homogenized elastic coefficients of the nano scale thickness porous films are computed in this paper.

A micromechanics-based time-domain viscoelastic constitutive model for particulate composites: Theory and experimental validation

  • You, Hangil;Lim, Hyoung Jun;Yun, Gun Jin
    • Advances in aircraft and spacecraft science
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    • v.9 no.3
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    • pp.217-242
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    • 2022
  • This paper proposes a novel time-domain homogenization model combining the viscoelastic constitutive law with Eshelby's inclusion theory-based micromechanics model to predict the mechanical behavior of the particle reinforced composite material. The proposed model is intuitive and straightforward capable of predicting composites' viscoelastic behavior in the time domain. The isotropization technique for non-uniform stress-strain fields and incremental Mori-Tanaka schemes for high volume fraction are adopted in this study. Effects of the imperfectly bonded interphase layer on the viscoelastic behavior on the dynamic mechanical behavior are also investigated. The proposed model is verified by the direct numerical simulation and DMA (dynamic mechanical analysis) experimental results. The proposed model is useful for multiscale analysis of viscoelastic composite materials, and it can also be extended to predict the nonlinear viscoelastic response of composite materials.

Multi-scale simulation of drying process for porous materials using molecular dynamics (part 1 : homogenization method) (분자동역학을 이용한 다공성 물질 건조공정 멀티스케일 시뮬레이션(1부 : 균질화법 해석))

  • 오진원;백성민;금영탁
    • Journal of the Korean Crystal Growth and Crystal Technology
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    • v.14 no.3
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    • pp.115-122
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    • 2004
  • When porous materials are dried, the particles flocculate into fish-net structure in gel phase. In order to exactly analyze the stress distribution of porous materials during drying process, the elastic tensor of microscopic gel structures has to be predicted considering pore shapes as well as porosities of porous materials. The elastic characteristics of porous materials associated with porosities were predicted analyzing microscopic gel structures with circular and cross pores via homogenization method and the drying processes of the electric porous ceramic insulator were simulated using finite element method (FEM). Comparing analysis results between consideration and negligence of pores, the deformed shape and distributions of temperature and moisture were similar but the residual stress was significantly different.