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Journal articles on the topic 'Homogenization structure'

Author: Grafiati

Published: 28 June 2021

Last updated: 29 July 2025

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1

Chen, Wei, Pi Zhi Zhao, Yu Li Zhou, and Yan Feng Pan. "Effects of Homogenization Conditions on the Microstructures of Twin-Roll Cast Foil Stock of AA8021 Aluminum Alloy." Materials Science Forum 877 (November 2016): 296–302. http://dx.doi.org/10.4028/www.scientific.net/msf.877.296.

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AA8021 aluminum alloy twin-roll cast strips with 7mm gauge were rolled to 3.8mm gauge sheets and given homogenization, further rolled into 0.55mm gauge foil stocks with intermediate annealing. This paper investigated the influence of homogenization conditions on microstructures of foil stocks in detail. The results show that, for the foil stock made from the sheet without homogenization, the grain structure is partially recrystallized. While the grain structure of foil stock made from the sheet with medium temperature homogenization is fully recrystallized, but it is coarse near sheet surface.

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2

Krejčí, Tomáš, Aleš Jíra, Luboš Řehounek, Michal Šejnoha, Jaroslav Kruis, and Tomáš Koudelka. "Homogenization of trabecular structures." MATEC Web of Conferences 310 (2020): 00041. http://dx.doi.org/10.1051/matecconf/202031000041.

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Numerical modeling of implants and specimens made from trabecular structures can be difficult and time-consuming. Trabecular structures are characterized as spatial truss structures composed of beams. A detailed discretization using the finite element method usually leads to a large number of degrees of freedom. It is attributed to the effort of creating a very fine mesh to capture the geometry of beams of the structure as accurately as possible. This contribution presents a numerical homogenization as one of the possible methods of trabecular structures modeling. The proposed approach is base

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3

Marsan, A. L., and D. Dutta. "Construction of a Surface Model and Layered Manufacturing Data From 3D Homogenization Output." Journal of Mechanical Design 118, no. 3 (1996): 412–18. http://dx.doi.org/10.1115/1.2826901.

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A homogenization method has been recently developed to optimize the topology of a structure. This method will suggest a structural topology, but the results will be in finite element form. Most engineering applications, however, require smooth structures, whether the faces of the structures be planar or curved. Given the topology of a three-dimensional structure as suggested by the homogenization method, an algorithm is developed to interpret the structure and generate a smooth, manufacturable surface representation of the structure. Structures designed by the homogenization method can be quit

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4

BRAIDES, ANDREA, and DAG LUKKASSEN. "REITERATED HOMOGENIZATION OF INTEGRAL FUNCTIONALS." Mathematical Models and Methods in Applied Sciences 10, no. 01 (2000): 47–71. http://dx.doi.org/10.1142/s0218202500000057.

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We consider the homogenization of sequences of integral functionals defined on media with several length-scales. Our general results connected to the corresponding homogenized functional are used to analyze new types of structures and to illustrate the wide range of effective properties achievable through reiteration. In particular, we consider a two-phase structure which is optimal when the integrand is a quadratic form and point out examples where the macroscopic behavior of this structure underlines an effective energy density which is lower than that of the best possible multirank laminate

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Griso, Georges, Larysa Khilkova, Julia Orlik, and Olena Sivak. "Homogenization of Perforated Elastic Structures." Journal of Elasticity 141, no. 2 (2020): 181–225. http://dx.doi.org/10.1007/s10659-020-09781-w.

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Abstract The paper is dedicated to the asymptotic behavior of $\varepsilon$ ε -periodically perforated elastic (3-dimensional, plate-like or beam-like) structures as $\varepsilon \to 0$ ε → 0 . In case of plate-like or beam-like structures the asymptotic reduction of dimension from $3D$ 3 D to $2D$ 2 D or $1D$ 1 D respectively takes place. An example of the structure under consideration can be obtained by a periodic repetition of an elementary “flattened” ball or cylinder for plate-like or beam-like structures in such a way that the contact surface between two neighboring balls/cylinders has a

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6

Jin, Ji-Won, Byung-Wook Jeon, Chan-Woong Choi, and Ki-Weon Kang. "Multi-Scale Probabilistic Analysis for the Mechanical Properties of Plain Weave Carbon/Epoxy Composites Using the Homogenization Technique." Applied Sciences 10, no. 18 (2020): 6542. http://dx.doi.org/10.3390/app10186542.

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Probabilistic analyses of carbon fabric composites were conducted using the Monte Carlo simulation based on a homogenization technique to evaluate the mechanical properties of composites and their stochastic nature. First, the homogenization analysis was performed for a micro-level structure, which fiber and matrix are combined. The effective properties obtained from this analysis were compared with the results from the rule of mixture theory to verify the homogenization analysis. And, tensile tests were conducted to clearly evaluate the result and the reliability was verified by comparing the

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7

Aftandiliants, Ye G. "Modelling of structure forming in structural steels." Naukovij žurnal «Tehnìka ta energetika» 11, no. 4 (2020): 13–22. http://dx.doi.org/10.31548/machenergy2020.04.013.

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The study showed that the influence of alloying elements on the secondary structure formation of the steels containing from 0.19 to 0.37 wt. % carbon; 0.82-1.82 silicon; 0.63-3.03 manganese; 1.01-3.09 chromium; 0.005-0.031 nitrogen; up to 0.25 wt.% vanadium and austenite grain size is determined by their change in the content of vanadium nitride phase in austenite, its alloying and overheating above tac3, and the dispersion of ferrite-pearlite, martensitic and bainitic structures is determined by austenite grain size and thermal kinetic parameters of phase transformations. Analytical dependenc

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8

Tsalis, Dimitrios, Nicolas Charalambakis, Kevin Bonnay, and George Chatzigeorgiou. "Effective properties of multiphase composites made of elastic materials with hierarchical structure." Mathematics and Mechanics of Solids 22, no. 4 (2015): 751–70. http://dx.doi.org/10.1177/1081286515612142.

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In this paper, the analytical solution of the multi-step homogenization problem for multi-rank composites with generalized periodicity made of elastic materials is presented. The proposed homogenization scheme may be combined with computational homogenization for solving more complex microstructures. Three numerical examples are presented, concerning locally periodic stratified materials, matrices with wavy layers and wavy fiber-reinforced composites.

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9

Armstrong, Scott, Tuomo Kuusi, and Jean-Christophe Mourrat. "The additive structure of elliptic homogenization." Inventiones mathematicae 208, no. 3 (2016): 999–1154. http://dx.doi.org/10.1007/s00222-016-0702-4.

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10

Chen, Junlong, and Yanbin Tang. "Homogenization of nonlinear nonlocal diffusion equation with periodic and stationary structure." Networks and Heterogeneous Media 18, no. 3 (2023): 1118–77. http://dx.doi.org/10.3934/nhm.2023049.

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<abstract><p>This paper is devoted to the homogenization of a class of nonlinear nonlocal parabolic equations with time dependent coefficients in a periodic and stationary structure. In the first part, we consider the homogenization problem with a periodic structure. Inspired by the idea of Akagi and Oka for local nonlinear homogenization, by a change of unknown function, we transform the nonlinear nonlocal term in space into a linear nonlocal scaled diffusive term, while the corresponding linear time derivative term becomes a nonlinear one. By constructing some corrector functions

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11

Sherniyozov, A., and Sh Payziyev. "FOCAL SPOT STRUCTURE OF FRESNEL LENS AND ITS HOMOGENIZATION." «Узбекский физический журнал» 21, no. 4 (2019): 245–49. http://dx.doi.org/10.52304/.v21i4.113.

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Using statistical Monte-Carlo photon-tracing method, we numerically studied focal spot structure of flat Fresnel lens. It has been shown that due to dispersion effect, focal spot structure changes considerably. In addition, we demonstrated homogenization of strongly focused photons. Rectangular prism can be applied to achieve the homogenization.

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12

Woźnicki, A., D. Leśniak, G. Włoch, B. Leszczyńska-Madej, and A. Wojtyna. "The Effect Of Homogenization Conditions On The Structure And Properties Of 6082 Alloy Billets." Archives of Metallurgy and Materials 60, no. 3 (2015): 1763–72. http://dx.doi.org/10.1515/amm-2015-0303.

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Abstract The paper presents the results of laboratory homogenization investigations of the 6082 grade alloys, differing in Mg and Si content. At the first stage, the microstructure of alloys was analysed after homogenization finished with water quenching. SEM/EDS investigations and DSC tests were applied to evaluate the dissolution of the Mg2Si particles and concentration of the main alloying additions in the grains interiors, depending on soaking conditions. In the case of alloy with lower Mg and Si content, homogenization the temperature of 535ºC for 8h is sufficient for significant Mg2Si pa

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13

Li, Xing Gang, Kui Zhang, Yong Jun Li, Xin Zhao, and Xu Jun Mi. "Mechanical Properties and Microstructures of Mg-Al-Zn Alloys with High Aluminum Contents." Materials Science Forum 610-613 (January 2009): 801–5. http://dx.doi.org/10.4028/www.scientific.net/msf.610-613.801.

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The effect of Al contents on the properties and structures of AZ80, AZ91，AZ131 and AZ151 magnesium alloys has been studied. The experiments of homogenization treatment, hot extrusion, and annealing treatment are carried out in order to study the effects of these processes to the properties and structure of AZ80, AZ91, AZ131 and AZ151 magnesium alloys. The parameters of homogenization treatment (420°C×24h, 420°C×36h) determined by DSC and metallurgical photo are sufficient which ensure the eutectic phase melt into magnesium matrix greatly. The strength of extruded bars shortly after homogenizat

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14

Zou, Yong Zhi, Zheng Bin Xu, and Jian Min Zeng. "Effect of SDAS on Homogenization of Al-Si-Mg Casting Alloys." Advanced Materials Research 97-101 (March 2010): 1041–44. http://dx.doi.org/10.4028/www.scientific.net/amr.97-101.1041.

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Aluminum alloy A357 can be heat treated in order to obtain optimum mechanical properties. Moreover, SDAS (Second dendrite arm spacing) is an important structure feature in cast aluminum alloys. The effects of SDAS on the homogenization of Al-Si-Mg alloy are investigated through measurement of SDAS and hardness analysis. The results show that the homogenization time increases as the value of SDAS increases and the homogenization temperature decreases in the homogenization process. The homogenization kinetics equation is: . In addition, the hardness after homogenization treatment at 540°C for 6

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15

Bredikhin, S. A., V. N. Andreev, A. N. Martekha, and E. A. Soldusova. "Investigation of the process of structure formation during ultrasonic homogenization of milk." IOP Conference Series: Earth and Environmental Science 954, no. 1 (2022): 012014. http://dx.doi.org/10.1088/1755-1315/954/1/012014.

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Abstract The article studies the processes of structure formation of milk during homogenization carried out on various equipment. A comparative analysis of the distribution of the sizes of fat globules before and after homogenization is given. The formulation of the probability mathematical model of milk and milk mixture homogenization give the opportunity to identify the real variabilities of the textural composition of milk and milk mixture in optimum performance with the use of statistics facts about dynamics of the fat globules size. The foundation for developing such model was used for ex

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16

Vončina, Maja, Irena Paulin, Ana Debevec, and Aleš Nagode. "MODIFICATION OF THE CAST STRUCTURE OF AN EN AW 2011 ALLOY WITH HOMOGENIZATION." Materiali in tehnologije 55, no. 2 (2021): 327–33. http://dx.doi.org/10.17222/mit.2020.215.

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Aluminium alloys of group 2xxx contain copper as the main alloying element. Copper increases the strength and workability of the alloy, but also reduces the corrosion resistance and weldability. During casting, a nonequilibrium solidification occurs. Therefore, the cast alloy needs to be heat treated with a so-called homogenization process. Homogenization allows us to eliminate crystalline segregations and low-melting eutectics, and also causes changes in the morphology of intermetallic phases. The forming ability is in this way increased. In this research the subject of the investigations was

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17

Nguyen, Anh Vu, Karine Charlet, Belhassen Chedli Bouzgarrou, Ky Nam Pham, Trong Dai Vu, and Alexis Béakou. "Hybrid Effect on Hybrid Composite Reinforced Carbon Fibers and Flax Fibers." Key Engineering Materials 801 (May 2019): 101–6. http://dx.doi.org/10.4028/www.scientific.net/kem.801.101.

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In this paper, hybrid composite made of carbon woven fibers and flax woven fibers is studied. This hybrid composite structure takes advantages of high resistance, high stiffness of carbon fibers and high damping and low density of flax fibers. Different structures of flax woven composites, carbon woven composites and hybrid composites were fabricated and tested experimentally. With aim of predicting the properties of the hybrid composite, a homogenization model of the composite is established. The homogenization model is based on the rule-of-mixture and iso-strain assumption. The results of th

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18

Meng, Xi Hui, Xiao Yu Ma, and Xiao Ya Zheng. "Numerical Computation for Effective Mechanical Properties of Honeycomb Core Structure." Advanced Materials Research 912-914 (April 2014): 460–65. http://dx.doi.org/10.4028/www.scientific.net/amr.912-914.460.

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This paper combined the homogenization method with finite element method. The equivalent mechanical coefficients of the hexagonal aluminum honeycomb core were computed on ABAQUS platform by developing the user subroutine UEXPAN ( ) and Python script file. The results obtained with homogenization method were compared with those obtained with energy method, and it showed the feasibility of homogenization method. Then the effects of thickness-to-length ratio t/l on equivalent mechanical coefficients were taken into account. The results suggested that the equivalent in-plane mechanical parameters

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19

Duerinckx, Mitia, Antoine Gloria, and Felix Otto. "The Structure of Fluctuations in Stochastic Homogenization." Communications in Mathematical Physics 377, no. 1 (2020): 259–306. http://dx.doi.org/10.1007/s00220-020-03722-3.

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20

Meunier, Gérard, Vincent Charmoille, Christophe Guerin, Patrice Labie, and Yves Marechal. "Homogenization for Periodical Electromagnetic Structure: Which Formulation?" IEEE Transactions on Magnetics 46, no. 8 (2010): 3409–12. http://dx.doi.org/10.1109/tmag.2010.2044386.

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21

Meunier, Gérard, Christophe Guérin, Vincent Charmoille, and Patrice Labie. "Frequency‐domain homogenization for periodic electromagnetic structure." COMPEL - The international journal for computation and mathematics in electrical and electronic engineering 29, no. 6 (2010): 1416–24. http://dx.doi.org/10.1108/03321641011078481.

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22

Li, X. X., C. L. Jia, and A. Yu. "Influence of homogenization degree on microstructure and mechanical properties for a novel wrought superalloy." Journal of Physics: Conference Series 2519, no. 1 (2023): 012040. http://dx.doi.org/10.1088/1742-6596/2519/1/012040.

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Abstract The present work aims at investigating the impact of homogenization time on microstructure and mechanical properties of a Ni-based superalloy GH4151 during hot deformation. The results showed that dense dendrite structure remained after homogenization at 1200°C for 5 h, which was similar to as-cast microstructure. Higher flow stress and cracking in 5 h-homogenized material is attributed to the integral deformation of microstructure with greater resistance and less recrystallization. Furthermore, the decrease in dense dendrite structure with increasing homogenization time helped to pro

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23

Staszak, Natalia, Tomasz Garbowski, and Anna Szymczak-Graczyk. "Solid Truss to Shell Numerical Homogenization of Prefabricated Composite Slabs." Materials 14, no. 15 (2021): 4120. http://dx.doi.org/10.3390/ma14154120.

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The need for quick and easy deflection calculations of various prefabricated slabs causes simplified procedures and numerical tools to be used more often. Modelling of full 3D finite element (FE) geometry of such plates is not only uneconomical but often requires the use of complex software and advanced numerical knowledge. Therefore, numerical homogenization is an excellent tool, which can be easily employed to simplify a model, especially when accurate modelling is not necessary. Homogenization allows for simplifying a computational model and replacing a complicated composite structure with

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24

Zhang, Kehong, Yuhang Su, and Hui Xiao. "Preparation and characterization of nanofibrillated cellulose from waste sugarcane bagasse by mechanical force." BioResources 15, no. 3 (2020): 6636–47. http://dx.doi.org/10.15376/biores.15.3.6636-6647.

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The effect of different mechanical force application methods was investigated relative to the structure and properties of nanofibrillated cellulose (NFC) from sugarcane bagasse. The NFC was prepared by grinding, high pressure homogenization, and ultrasonication with chemical pretreatment. Fiber morphology, crystalline, chemical structures, and tensile property were analyzed to reveal the mechanisms of NFC production behind different mechanical treatments. The results showed that compared with grinding treatment, high pressure homogenization and ultrasonic treatment can obviously increase the a

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Lukkassen, Dag, Gabriel Nguetseng, Hubert Nnang, and Peter Wall. "Reiterated homogenization of nonlinear monotone operators in a general deterministic setting." Journal of Function Spaces and Applications 7, no. 2 (2009): 121–52. http://dx.doi.org/10.1155/2009/102486.

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We study reiterated homogenization of a nonlinear non-periodic elliptic differential operator in a general deterministic setting as opposed to the usual stochastic setting. Our approach proceeds from an appropriate notion of convergence termed reiterated Σ-convergence. A general deterministic homogenization theorem is proved and several concrete examples are studied under various structure hypotheses ranging from the classical periodicity hypothesis to more complicated, but realistic, structure hypotheses.

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Khanh, Trinh Duy. "Second gradient substitution model for high contrast bi-phase structure." Journal of Science and Technology in Civil Engineering (STCE) - NUCE 14, no. 2 (2020): 116–26. http://dx.doi.org/10.31814/stce.nuce2020-14(2)-11.

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Lightweight structures with soft inclusion material, such as hollow core slabs, foam sandwich wall, pervious pavement ... are widely used in construction engineering for sustainable goals. Voids and soft inclusion can be modeled as a very soft material, while the main material is modeled with its original rigidity, which is so much higher than inclusion's one. In consequence, highly contrast bi-phase structure attracts the interests of scientists and engineers. One important demand is how to build a homogeneous equivalent model to replace the multi-phase structure which requires much resources

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27

Zhao, Shengjie, Xinxiang Zong, and Nan Wu. "Design of Load Path-oriented BCCz Lattice Sandwich Structures." Journal of Physics: Conference Series 2239, no. 1 (2022): 012014. http://dx.doi.org/10.1088/1742-6596/2239/1/012014.

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Abstract Lattice structures are increasingly used in lightweight designs due to the advances of additive manufacturing. The overall performance of the lattice structures highly depends on the lattice cell arrangement. Previous studies show that body-centered cubic with z-axis reinforcement (BCCz) lattice has higher stiffness and strength compared to regular body-centered cubic (BCC) lattice subject to unidirectional compression. In this report, a load path-based methodology for the design of BCCz lattice sandwich structure with variable reinforcement directions is presented. A homogenization m

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Yan, Jun, Haitao Hu, Zhixun Yang, Rui Wan, and Yang Li. "Multi-scale analysis for helically wound structures with one-dimensional periodicity." Engineering Computations 36, no. 8 (2019): 2911–28. http://dx.doi.org/10.1108/ec-10-2018-0489.

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Purpose The purpose of this study is to present a multi-scale analysis methodology for calculating the effective stiffnesses and the micro stresses of helically wound structures efficiently and accurately. The helically wound structure is widely applied in ocean and civil engineering as load-bearing structures with high flexibility, such as wire ropes, umbilical cables and flexible risers. Their structures are usually composed of a number of twisted subcomponents with relatively large slender ratio and have the one-dimensional periodic characteristic in the axial direction. As the huge differe

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Cheng, Lin, Pu Zhang, Emre Biyikli, Jiaxi Bai, Joshua Robbins, and Albert To. "Efficient design optimization of variable-density cellular structures for additive manufacturing: theory and experimental validation." Rapid Prototyping Journal 23, no. 4 (2017): 660–77. http://dx.doi.org/10.1108/rpj-04-2016-0069.

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Purpose The purpose of the paper is to propose a homogenization-based topology optimization method to optimize the design of variable-density cellular structure, in order to achieve lightweight design and overcome some of the manufacturability issues in additive manufacturing. Design/methodology/approach First, homogenization is performed to capture the effective mechanical properties of cellular structures through the scaling law as a function their relative density. Second, the scaling law is used directly in the topology optimization algorithm to compute the optimal density distribution for

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Ozturk, Gulustan, Bruna Paviani, Rewa Rai, et al. "Investigating Milk Fat Globule Structure, Size, and Functionality after Thermal Processing and Homogenization of Human Milk." Foods 13, no. 8 (2024): 1242. http://dx.doi.org/10.3390/foods13081242.

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Human milk provides bioactive compounds such as milk fat globules (MFGs), which promote brain development, modulate the immune system, and hold antimicrobial properties. To ensure microbiological safety, donor milk banks apply heat treatments. This study compares the effects of heat treatments and homogenization on MFG’s physicochemical properties, bioactivity, and bioavailability. Vat pasteurization (Vat-PT), retort (RTR), and ultra-high temperature (UHT) were performed with or without homogenization. UHT, RTR, and homogenization increased the colloidal dispersion of globules, as indicated by

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Agić, Ante. "Multiscale Modeling Electrospun Nanofiber Structures." Materials Science Forum 714 (March 2012): 33–40. http://dx.doi.org/10.4028/www.scientific.net/msf.714.33.

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The carbon nanotube (CNT) structure is a promising building block for future nanocomposite structures. Mechanical properties of the electrospun butadiene elastomer reinforced with CNT are analyzed by multiscale method. Effective properties of the fiber at microscale determined by homogenization procedure using modified shear-lag model, while on the macro scale effective properties for the point-bonded stochastic fibrous network determined by volume homogenization procedure using multilevel finite element. Random fibrous network was generated according experimentally determined stochastic quant

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Zengin, Huseyin, Yunus Turen, Hayrettin Ahlatci, Yavuz Sun, and Ismail Hakkı Kara. "Microstructure and Corrosion Properties of Homogenized Mg-4Zn-1La Magnesium Alloy." Key Engineering Materials 750 (August 2017): 118–23. http://dx.doi.org/10.4028/www.scientific.net/kem.750.118.

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In this study, microstructure and corrosion behaviour of homogenized Mg-4Zn-1La magnesium alloy was investigated. Mg-4Zn-1La alloy was produced by low-pressure die casting method. Homogenization treatments were performed at 350 °C and 400 °C for 12, 18, 24 and 48 hours, followed by rapid cooling in water at room temperature. Microstructure characterizations showed that La addition led to a formation of semi-continuous network structure and islands of second phases which identified as T-phase (Mg7Zn3RE). A significant amount of second phase dissolution and an increase in a-Mg grain size with in

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Li, Yong Jun, and Kui Zhang. "Study on Processing Technique in Engineering Tests of Mg-7.1Gd-4.6Y-1.3Nd-0.5Zr Alloy." Applied Mechanics and Materials 423-426 (September 2013): 811–15. http://dx.doi.org/10.4028/www.scientific.net/amm.423-426.811.

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Combined with the pre-test results, homogenization, plastic deformation, aging and other processes of Mg-7.1Gd-4.6Y-1.3Nd-0.5Zr (EW75) magnesium alloy was studied in engineering tests. The results show that in engineering test the large ingots (Φ500×800~900mm) of the EW75 alloy using two-stage homogenization treatment had perfect homogenization effect and no burnt structure. After multi-directional forging and extruded deformation, the homogenized residual second phase particles were fully broken, and the structure was refined and uniform. The peak aged craft was 230°C×6h, with the aging time

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Bryantsev, P. Yu, V. S. Zolotorevskiy, and V. K. Portnoy. "The Effect of Heat Treatment and Mn, Cu and Cr Additions on the Structure of Ingots of Al-Mg-Si-Fe Alloys." Materials Science Forum 519-521 (July 2006): 401–6. http://dx.doi.org/10.4028/www.scientific.net/msf.519-521.401.

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Phase transformations in 6XXX alloys with Mn, Cu and Cr additions have been studied in the process of homogenization annealing at different temperatures. The continuous cooling transformation diagrams of decomposition of solid solution during the cooling of ingots from the homogenization temperature have been plotted. The effect of the cooling rate after homogenization on the properties of ingots during extrusion has been studied.

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Yuan, Wei, Cheng Xu, Li Xue, et al. "Integrated Double-Sided Random Microlens Array Used for Laser Beam Homogenization." Micromachines 12, no. 6 (2021): 673. http://dx.doi.org/10.3390/mi12060673.

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Double microlens arrays (MLAs) in series can be used to divide and superpose laser beam so as to achieve a homogenized spot. However, for laser beam homogenization with high coherence, the periodic lattice distribution in the homogenized spot will be generated due to the periodicity of the traditional MLA, which greatly reduces the uniformity of the homogenized spot. To solve this problem, a monolithic and highly integrated double-sided random microlens array (D-rMLA) is proposed for the purpose of achieving laser beam homogenization. The periodicity of the MLA is disturbed by the closely arra

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AMIRAT, YOUCEF, and VLADIMIR V. SHELUKHIN. "Homogenization of composite electrets." European Journal of Applied Mathematics 28, no. 2 (2015): 261–83. http://dx.doi.org/10.1017/s0956792516000255.

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We study the two-scale homogenization of the diffraction interfacial condition for the diffusion equation relevant to a composite medium which has a periodic structure. The results are applied to the electric field potential within a dielectric composite body when there is a difference in dielectric permittivity between the composite components in the presence of interfacial static charges. The principal result is that the interfacial charge distribution is equivalent to an apparent bulk charge which can be calculated starting from the composite geometry. We perform the corrector analysis and

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Hassani, B., and E. Hinton. "A review of homogenization and topology optimization I—homogenization theory for media with periodic structure." Computers & Structures 69, no. 6 (1998): 707–17. http://dx.doi.org/10.1016/s0045-7949(98)00131-x.

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Hua, Xiao, Shanan Xu, Mingming Wang, Ying Chen, Hui Yang, and Ruijin Yang. "Effects of high-speed homogenization and high-pressure homogenization on structure of tomato residue fibers." Food Chemistry 232 (October 2017): 443–49. http://dx.doi.org/10.1016/j.foodchem.2017.04.003.

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Vlădulescu, Florian, and Dan Mihai Constantinescu. "Lattice structure optimization and homogenization through finite element analyses." Proceedings of the Institution of Mechanical Engineers, Part L: Journal of Materials: Design and Applications 234, no. 12 (2020): 1490–502. http://dx.doi.org/10.1177/1464420720945744.

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Lattice topology optimization can stimulate the design of new materials with spatially dependent properties with composite parts or three-dimensional printed components. The present work considers a mounting bracket for an industrial robotic arm as a case study, having as the main objective the increase of the fundamental frequency and secondly its mass reduction. Two design approaches were considered by using the ANSYS software: the first stage optimized the orthotropic lattice material by establishing an optimal variable cubic cell lattice density distribution in the geometric model; the sec

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Xu, Yao, and Weisheng Niu. "Periodic homogenization of elliptic systems with stratified structure." Discrete & Continuous Dynamical Systems - A 39, no. 4 (2019): 2295–323. http://dx.doi.org/10.3934/dcds.2019097.

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Xu, Yao, and Weisheng Niu. "Homogenization of elliptic systems with stratified structure revisited." Communications in Partial Differential Equations 45, no. 7 (2020): 655–89. http://dx.doi.org/10.1080/03605302.2019.1709871.

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Poli[sbreve]evski, Dan. "Basic Homogenization Results for a Biconnectedε-Periodic Structure". Applicable Analysis 82, № 4 (2003): 301–9. http://dx.doi.org/10.1080/0003681031000094870.

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Mascarenhas, M. L., and Dan Poliševski. "Homogenization of the torsion problem with quasiperiodic structure." Numerical Functional Analysis and Optimization 13, no. 5-6 (1992): 475–85. http://dx.doi.org/10.1080/01630569208816493.

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Shinoda, Yoshikatsu, and Akihiro Matsuda. "Homogenization Analysis of Porous Polymer Considering Microscopic Structure." Procedia Engineering 60 (2013): 343–48. http://dx.doi.org/10.1016/j.proeng.2013.07.027.

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Fusco, N., and G. Moscariello. "On the homogenization of quasilinear divergence structure operators." Annali di Matematica Pura ed Applicata 146, no. 1 (1986): 1–13. http://dx.doi.org/10.1007/bf01762357.

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Mourrat, Jean-Christophe, and Felix Otto. "Correlation structure of the corrector in stochastic homogenization." Annals of Probability 44, no. 5 (2016): 3207–33. http://dx.doi.org/10.1214/15-aop1045.

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Trinh, Duy Khanh, and Samuel Forest. "Generalized continuum overall modelling of periodic composite structures." Vietnam Journal of Mechanics 33, no. 4 (2011): 245–58. http://dx.doi.org/10.15625/0866-7136/33/4/258.

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Abstract:

Classical homogenization methods fail to reproduce the overall response of composite structures when macroscopic strain gradients become significant. Generalized continuum models like Cosserat, strain gradient and micromorphic media, can be used to enhance the overall description of heterogeneous materials when the hypothesis of scale separation is not fulfilled. We show in the present work how the higher order elasticity moduli can be identified from suitable loading conditions applied to the unit cell of a periodic composite. The obtained homogeneous substitution generalized continuum is use

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Asada, Takashi, and Nobutada Ohno. "Implicit Formulation of Homogenization Method for Periodic Elastoplastic Solids." Key Engineering Materials 340-341 (June 2007): 1055–60. http://dx.doi.org/10.4028/www.scientific.net/kem.340-341.1055.

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In this study, to determine incremental, perturbed displacement fields in periodic elastoplastic solids, an incremental homogenization problem is fully implicitly formulated, and an algorithm is developed to solve the homogenization problem. It is shown that the homogenization problem can be iteratively solved with quadratic convergences by successively updating strain increments in unit cells, and that the present formulation allows versatility in the initial setting of strain increments in contrast to previous studies. The homogenization algorithm developed is then examined by analyzing a ho

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Sigrist, Jean-François, Daniel Broc, and Christian Lainé. "Fluid-Structure Interaction Effects Modeling for the Modal Analysis of a Nuclear Pressure Vessel." Journal of Pressure Vessel Technology 129, no. 1 (2006): 1–6. http://dx.doi.org/10.1115/1.2389025.

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The present paper deals with the modal analysis of a nuclear reactor with fluid-structure interaction effects. The proposed study aims at describing various fluid-structure interaction effects using several numerical approaches. The modeling lies on a classical finite element discretization of the coupled fluid-structure equation, enabling the description of added mass and added stiffness effects. A specific procedure is developed in order to model the presence of internal structures within the nuclear reactor, based on periodical homogenization techniques. The numerical model of the nuclear p

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Jalagonia, Natia, Fernand Marqui, Karlo Barbakadze, Ekaterine Sanaia, Guram Bokuchava, and Tinatin Kuchukhidze. "Obtaining of Graphene Structure Containing Ceramic Composites in High Temperature Vacuum Furnace." Materials Science Forum 900 (July 2017): 101–4. http://dx.doi.org/10.4028/www.scientific.net/msf.900.101.

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We have obtained ceramic composites containing graphene structure, where homogenization process of powdery composite was improved. At first, α-alumina was obtained from local row, which is cheap and available. The obtaining method was developed by our group. Graphene oxide was synthesized from natural graphite. Homogenization was carried out in nanomill with organic binder, which provides for equal distribution and separation of graphene oxide layers (Organic binder behaves as “scotch tape”) during grinding. Some characteristics of ceramic materials have been improved.

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