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In this paper we study the thermal effective behaviour for 3D multiphase composite material consisting of three isotropic phases which are the matrix, the inclusions and the coating media. For this purpose we use an accelerated FFT-based…

Computational Engineering, Finance, and Science · Computer Science 2015-04-29 Sophie Lemaitre , Vladimir Salnikov , Daniel Choi , Philippe Karamian

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…

Computational Engineering, Finance, and Science · Computer Science 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…

Numerical Analysis · Mathematics 2014-11-18 Vladimir Salnikov , Daniel Choi , Philippe Karamian-Surville

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…

Materials Science · Physics 2008-07-23 Blanka Tomkova , Michal Sejnoha , Jan Novak , Jan Zeman

The effect of the clusterization on the effective properties of a composite material reinforced by MXene or graphene platelets is studied using the finite element method with periodic representative volume element (RVE). A hybrid 2D/3D…

Materials Science · Physics 2022-02-09 Sergejs Tarasovs , Andrey Aniskevich

Multiscale optimization is an attractive research field recently. For the most of optimization tools, design parameters should be updated during a close loop. Therefore, a simple Python code is programmed to obtain effective properties of…

Computational Engineering, Finance, and Science · Computer Science 2017-03-14 Fan Ye , Hu Wang

Acknowledging the ever-increasing demand for composites in the engineering industry, this paper focuses on the failure of composites at the microscale and augmenting the use of multiscale modelling techniques to make them better for various…

Computational Engineering, Finance, and Science · Computer Science 2025-08-14 Hari Sankar R , Harpreet Singh

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…

Computational Engineering, Finance, and Science · Computer Science 2021-07-29 Saumik Dana , Mary F Wheeler

In modern engineering designs, advanced materials (e.g., fiber/particle-reinforced polymers, metallic alloys, laminar composites, etc.) are widely used, where microscale heterogeneities such as grains, inclusions, voids, micro-cracks, and…

Computational Engineering, Finance, and Science · Computer Science 2022-10-24 Haoyan Wei , Dandan Lyu , Wei Hu , C. T. Wu

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…

Computational Engineering, Finance, and Science · Computer Science 2021-03-16 Matti Schneider , Marc Josien , Felix Otto

A coupled hygro-thermo-mechanical computational model is proposed for fibre reinforced polymers, formulated within the framework of Computational Homogenisation (CH). At each macrostructure Gauss point, constitutive matrices for thermal,…

Computational Engineering, Finance, and Science · Computer Science 2016-10-14 Zahur Ullah , Lukasz Kaczmarczyk , Sotirios Grammatikos , Mark Evernden , Chris Pearce

Materials with complex inner structure can be challenging to characterize in an effective way. First, it is difficult to determine the representative volume for such a heterogeneous material. Second, the effective material parameters…

Materials Science · Physics 2023-08-11 Fehér Anna , Maróti János , Takács Donát , Orbulov Imre , Kovács Róbert

In this work we continue the investigation of different approaches to conception and modeling of composite materials. The global method we focus on, is called 'stochastic homogenization'. In this approach, the classical deterministic…

Computational Engineering, Finance, and Science · Computer Science 2018-02-07 Vladimir Salnikov , Daniel Choi , Philippe Karamian-Surville

Amorphous polymers are considered promising materials for separations due to their excellent transport properties and low fabrication costs. The separation performance of a membrane material is characterized by its permeability (overall…

Soft Condensed Matter · Physics 2023-07-25 Brendan Wernisch , Mohammed Al Otmi , Egan Beauvais , Janani Sampath

The simulation of a short fibre reinforced structure by means of the FEM requires the knowledge of the material behaviour at every Gauss point. In order to obtain such information, a representative volume element (RVE) containing…

Materials Science · Physics 2014-08-21 N. Goldberg , H. Donner , J. Ihlemann

We investigate the implications of a given symmetry of a random microstructure on the obtained effective tensor and its fluctuation in the context of thermal conductivity, and study strategies for enforcing these symmetries in…

Computational Engineering, Finance, and Science · Computer Science 2025-11-07 Binh Huy Nguyen , Matti Schneider

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…

Materials Science · Physics 2018-12-11 Jiyoung Jung , Sangryun Lee , Byungki Ryu , Seunghwa Ryu

A three-dimensional multi-scale computational homogenisation framework is developed for the prediction of nonlinear micro/meso-mechanical response of the fibre-reinforced polymer (FRP) composites. Two dominant damage mechanisms, i.e. matrix…

Computational Engineering, Finance, and Science · Computer Science 2016-10-18 Zahur Ullah , Lukasz Kaczmarczyk , Chris J. Pearce

Characterizing the connection between material design decisions/parameters and their effective properties allows for accelerated materials development and optimization. We present a global sensitivity analysis of woven composite…

Computational Engineering, Finance, and Science · Computer Science 2021-04-29 Lincoln N. Collins , Scott A. Roberts

We consider the asymptotic behaviour of the effective thermal conductivity of a two-phase composite obtained by introducing into an infinite homogeneous matrix a periodic set of inclusions of a different material and of size proportional to…

Analysis of PDEs · Mathematics 2013-06-27 Matteo Dalla Riva , Paolo Musolino
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