Boundary integral equation formulations for steady state thermal conduction and their applications in heterogeneities

C. Y. Dong

doi:10.1016/j.enganabound.2015.01.009

Boundary integral equation formulations for steady state thermal conduction and their applications in heterogeneities

C. Y. Dong^*

^*Corresponding author for this work

School of Aerospace Engineering

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

This paper presents some boundary integral equations of steady state thermal conduction for homogenization of composites based on the generalized self-consistent scheme (GSCS). The proposed formulations only contain the temperature of the interfaces which are easily numerically implemented. A formulation for calculating the heat energy only containing interface integration is also used to determinate the effective thermal conductivity of the composite. The comparison between the results obtained by the present method and the existing counterparts are carried out and the good agreement can be observed. The present method developed here is applicable to various cases of ellipsoidal, spherical and other shapes inhomogeneities.

Original language	English
Pages (from-to)	60-67
Number of pages	8
Journal	Engineering Analysis with Boundary Elements
Volume	54
DOIs	https://doi.org/10.1016/j.enganabound.2015.01.009
Publication status	Published - May 2015

Keywords

Boundary integral equation formulations
Generalized self-consistent scheme
Steady state thermal conduction

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10.1016/j.enganabound.2015.01.009

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title = "Boundary integral equation formulations for steady state thermal conduction and their applications in heterogeneities",

abstract = "This paper presents some boundary integral equations of steady state thermal conduction for homogenization of composites based on the generalized self-consistent scheme (GSCS). The proposed formulations only contain the temperature of the interfaces which are easily numerically implemented. A formulation for calculating the heat energy only containing interface integration is also used to determinate the effective thermal conductivity of the composite. The comparison between the results obtained by the present method and the existing counterparts are carried out and the good agreement can be observed. The present method developed here is applicable to various cases of ellipsoidal, spherical and other shapes inhomogeneities.",

keywords = "Boundary integral equation formulations, Generalized self-consistent scheme, Steady state thermal conduction",

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AU - Dong, C. Y.

PY - 2015/5

Y1 - 2015/5

N2 - This paper presents some boundary integral equations of steady state thermal conduction for homogenization of composites based on the generalized self-consistent scheme (GSCS). The proposed formulations only contain the temperature of the interfaces which are easily numerically implemented. A formulation for calculating the heat energy only containing interface integration is also used to determinate the effective thermal conductivity of the composite. The comparison between the results obtained by the present method and the existing counterparts are carried out and the good agreement can be observed. The present method developed here is applicable to various cases of ellipsoidal, spherical and other shapes inhomogeneities.

AB - This paper presents some boundary integral equations of steady state thermal conduction for homogenization of composites based on the generalized self-consistent scheme (GSCS). The proposed formulations only contain the temperature of the interfaces which are easily numerically implemented. A formulation for calculating the heat energy only containing interface integration is also used to determinate the effective thermal conductivity of the composite. The comparison between the results obtained by the present method and the existing counterparts are carried out and the good agreement can be observed. The present method developed here is applicable to various cases of ellipsoidal, spherical and other shapes inhomogeneities.

KW - Boundary integral equation formulations

KW - Generalized self-consistent scheme

KW - Steady state thermal conduction

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DO - 10.1016/j.enganabound.2015.01.009

M3 - Article

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SN - 0955-7997

VL - 54

SP - 60

EP - 67

JO - Engineering Analysis with Boundary Elements

JF - Engineering Analysis with Boundary Elements

ER -

Boundary integral equation formulations for steady state thermal conduction and their applications in heterogeneities

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Keywords

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