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An uncoupled multi-scale homogenization approach is used to estimate the effective thermal conductivities of plain weave C/C composites with a high degree of porosity. The geometrical complexity of the material system on individual scales…

材料科学 · 物理学 2008-07-23 Blanka Tomkova , Michal Sejnoha , Jan Novak , Jan Zeman

In our previous papers we have described efficient and reliable methods of generation of representative volume elements (RVE) perfectly suitable for analysis of composite materials via stochastic homogenization. In this paper we profit from…

计算工程、金融与科学 · 计算机科学 2015-04-10 Vladimir Salnikov , Sophie Lemaitre , Daniel Choï , Philippe Karamian-Surville

In this paper we describe efficient methods of generation of representative volume elements (RVEs) suitable for producing the samples for analysis of effective properties of composite materials via and for stochastic homogenization. We are…

数值分析 · 数学 2014-11-18 Vladimir Salnikov , Daniel Choi , Philippe Karamian-Surville

Real-world physical systems, like composite materials and porous media, exhibit complex heterogeneities and multiscale nature, posing significant computational challenges. Computational homogenization is useful for predicting macroscopic…

计算工程、金融与科学 · 计算机科学 2024-07-29 Yuki Sato , Yuto Lewis Terashima , Ruho Kondo

We describe the numerical scheme for the discretization and solution of 2D elliptic equations with strongly varying piecewise constant coefficients arising in the stochastic homogenization of multiscale composite materials. An efficient…

数值分析 · 数学 2019-04-01 Venera Khoromskaia , Boris N. Khoromskij , Felix Otto

This paper focuses on the homogenization of high-contrast dielectric elastomer composites, materials that deform in response to electrical stimulation. The considered heterogeneous material consisting of an ambient material with inserted…

偏微分方程分析 · 数学 2024-12-17 Thuyen Dang , Yuliya Gorb , Silvia Jiménez Bolaños

We obtained the analytical expression for the effective thermoelectric properties and dimensionless figure of merit of a composite with interfacial electrical and thermal resistances using a micromechanics-based homogenisation. For the…

材料科学 · 物理学 2018-12-11 Jiyoung Jung , Sangryun Lee , Byungki Ryu , Seunghwa Ryu

The concept of representative volume element or RVE is invoked to develop an algorithm for numerical homogenization of fluid filled porous solids. RVE based methods decouple analysis of a composite material into analyses at the local and…

计算工程、金融与科学 · 计算机科学 2021-07-29 Saumik Dana , Mary F Wheeler

The Bruggeman formalism for the homogenization of particulate composite materials is used to predict the effective permittivity dyadic of a two-constituent composite material with one constituent having the ability to display the Pockels…

光学 · 物理学 2009-11-13 Akhlesh Lakhtakia , Tom G. Mackay

The paper is devoted to the homogenization of porous piezoelectric materials saturated by electrically inert fluid. The solid part of a representative volume element consists of the piezoelectric skeleton with embedded conductors. The pore…

计算物理 · 物理学 2018-08-01 Eduard Rohan , Vladimír Lukeš

This work presents a study on the computational homogenization of electro-magneto-mechanically coupled problems through the Virtual Element Method (VEM). VE-approaches have great potential for the homogenization of the physical properties…

计算工程、金融与科学 · 计算机科学 2021-04-07 Christoph Böhm , Blaž Hudobivnik , Michele Marino , Peter Wriggers

A composite conductive material, which consists of fibers of a high conductivity in a matrix of low conductivity, is discussed. The effective conductivity of the system considered is calculated in Clausius-Mossotti approximation. Obtained…

材料科学 · 物理学 2011-03-01 Yuri Kornyushin

We investigate volume-element sampling strategies for the stochastic homogenization of particle-reinforced composites and show, via computational experiments, that an improper treatment of particles intersecting the boundary of the…

计算工程、金融与科学 · 计算机科学 2021-03-16 Matti Schneider , Marc Josien , Felix Otto

Investigation of inhomogeneities has wide applications in different areas of mechanics including the study of composite materials. Here, we analytically study an arbitrarily-shaped isotropic inhomogeneity embedded in a finite-sized…

软凝聚态物质 · 物理学 2018-11-20 Ehsan Ban

We derive a new cross-property differential effective medium scheme for a composite material's thermal conductivity as a function of its electrical conductivity and vice versa. Our scheme assumes that one phase is embedded in the other as…

材料科学 · 物理学 2021-02-25 P. A. Cilli , M. Chapman

In this paper we study the effective thermal behaviour of 3D representative volume elements (RVEs) of two-phased composite materials constituted by a matrix with cylindrical and spherical inclusions distributed randomly, with periodic…

计算工程、金融与科学 · 计算机科学 2016-02-26 Sophie Lemaitre , Vladimir Salnikov , Daniel Choi , Philippe Karamian-Surville

Owing to additive manufacturing techniques, a structure at millimeter length scale (macroscale) can be produced by using a lattice substructure at micrometer length scale (microscale). Such a system is called a metamaterial at the…

计算工程、金融与科学 · 计算机科学 2019-11-25 H. Yang , B. E. Abali , W. H. Müller , D. Timofeev

The effective quasistatic conductivity of composite polymeric electrolytes is studied in terms of a hard-core--penetrable-layer model. Used to incorporate the interface phenomena (such as amorphization of the polymer matrix around filler…

材料科学 · 物理学 2019-11-05 M. Ya. Sushko , A. K. Semenov

The accurate and efficient computation of the electromagnetic response of objects made from artificial materials is crucial for designing photonic functionalities and interpreting experiments. Advanced fabrication techniques can nowadays…

The effective large-scale properties of materials with random heterogeneities on a small scale are typically determined by the method of representative volumes: A sample of the random material is chosen - the representative volume - and its…

偏微分方程分析 · 数学 2019-09-04 Julian Fischer
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