Effective properties of materials with random micro-cavities using special boundary elements

Buroni, Federico C.; Marczak, Rogério José

doi:10.1007/s10853-008-2479-3

Cited by 10 publications

(13 citation statements)

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“…In [5] and [6] for microporous domains, and in [8] for domains composed by two different microconstituents, it is noticed that after successive increases on the observational scale, the effective properties measured tend to converge towards the material's macroscopic overall properties. Based on this behavior, [4] proposed a homogenization method for materials with heterogeneous composition, the RVE technique.…”

Section: Representative Volume Elementmentioning

confidence: 99%

“…As done previously in [5], [6] and [7] it supposes a square observational domain, but with circular material inclusions instead of holes. Based on equation (1) and statistical analyses, the RVE condition for the effective thermal conductivity was obtained for different percentages of area occupied by the inclusions (R), being R given by:…”

Section: Representative Volume Elementmentioning

confidence: 99%

“…In sight of this, the study of these properties and methodologies assoc iated to their determination have been the focus of many recent works. These effective properties are often related to mean values of distributions over the RVE edges, as observed in [5], [6] and [8]. In [6] and [8], a similar technique was applied to obtain the material's effective thermal conductivity.…”

Section: Effective Thermal Conductivitymentioning

confidence: 99%

“…This natural compatibility was explored in [5] and [6] where both methods, the BEM and RVE, were brought together to elaborate methodologies for the prediction of effective properties of micro-porous materials. The first one, [5], focused in the elastic effective properties of isotropic and orthotropic porous materials determining the RVE conditions through statistical analysis.…”

Section: Introductionmentioning

confidence: 99%

“…The first one, [5], focused in the elastic effective properties of isotropic and orthotropic porous materials determining the RVE conditions through statistical analysis. In the same way, [6] applied a similar methodology for the analysis of permanent potential problems and the determination of the effective thermal conductivity coefficient for micro-porous materials.…”

Section: Introductionmentioning

confidence: 99%

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Numerical and experimental analysis of a RVE condition for heterogeneous materials using BEM and thermal images

Oberg

Anflor

2017

Ingeniare. Rev. chil. ing.

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This work focuses on the numerical and experimental study of the effective thermal conductivity in materials with heterogeneous composition. The numerical analysis relies in the Boundary Element method (BEM) formulation assisted by the sub-regions technique to simulate a two-dimensional square domain, with randomly distributed material inclusions. The boundary conditions are set to achieve a unidirectional heat flux condition. The Average Field Theory (AFT) is applied to determinate the representative volume element (RVE) condition for the studied cases. Finally, the effective heat conduction coefficient is obtained from the defined RVE's. To verify the obtained numerical results, it is proposed an experimental procedure based on thermal images. The experimental assembly replicates the unidirectional heat flux condition over a steel plate. The experimental effective thermal conductivity is obtained from the analysis of the resultant temperature field on the surface of the plate taken by an infrared camera. The comparison between the numerical and experimental results showed a 3% difference between both results, pointing out for the successfulness of the proposed methodology.Keywords: Boundary element method, heterogeneous materials, representative volume element, thermal images. RESUMEN Este trabajo se enfoca en el estudio numérico y experimental de los efectos de la conductividad térmica en materiales heterogéneos. El análisis numérico se basa en la formulación de Método de los Elementos de Contorno (MEC) basada en la técnica de subregiones con el fin de simular un dominio bidimensional con inclusiones de material distribuidas aleatoriamente. Las condiciones de contorno fueron seleccionadas adecuadamente con el fin de obtener condiciones de conductividad térmica unidireccional. La Teoría de los Campos Medios (TCM) es aplicada para determinar el elemento de volumen representativo (EVR

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Section: Representative Volume Elementmentioning

confidence: 99%

Section: Representative Volume Elementmentioning

confidence: 99%

Section: Effective Thermal Conductivitymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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