Heat flux field for one spherical inhomogeneity embedded in a functionally graded material matrix

H. M. Yin; G. H. Paulino; W. G. Buttlar; L. Z. Sun

doi:10.1016/j.ijheatmasstransfer.2007.09.027

Heat flux field for one spherical inhomogeneity embedded in a functionally graded material matrix

H. M. Yin, G. H. Paulino, W. G. Buttlar, L. Z. Sun

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

20 Scopus citations

Abstract

The heat flux field for a single particle embedded in a graded material is derived by using the equivalent inclusion method. A linearly distributed prescribed heat flux field is introduced to represent the material mismatch between the particle and the surrounding graded materials. By using Green's function technique, an explicit solution is obtained for the heat flux field in both the particle and the graded material. Comparison of the present solution with finite element results illustrates the accuracy and limitation of this solution.

Original language	English (US)
Pages (from-to)	3018-3024
Number of pages	7
Journal	International Journal of Heat and Mass Transfer
Volume	51
Issue number	11-12
DOIs	https://doi.org/10.1016/j.ijheatmasstransfer.2007.09.027
State	Published - Jun 2008
Externally published	Yes

All Science Journal Classification (ASJC) codes

Condensed Matter Physics
Mechanical Engineering
Fluid Flow and Transfer Processes

Keywords

Equivalent inclusion method
Functionally graded materials
Heat transfer
Inhomogeneity
Thermal conduction

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10.1016/j.ijheatmasstransfer.2007.09.027

Cite this

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title = "Heat flux field for one spherical inhomogeneity embedded in a functionally graded material matrix",

abstract = "The heat flux field for a single particle embedded in a graded material is derived by using the equivalent inclusion method. A linearly distributed prescribed heat flux field is introduced to represent the material mismatch between the particle and the surrounding graded materials. By using Green's function technique, an explicit solution is obtained for the heat flux field in both the particle and the graded material. Comparison of the present solution with finite element results illustrates the accuracy and limitation of this solution.",

keywords = "Equivalent inclusion method, Functionally graded materials, Heat transfer, Inhomogeneity, Thermal conduction",

author = "Yin, {H. M.} and Paulino, {G. H.} and Buttlar, {W. G.} and Sun, {L. Z.}",

note = "Funding Information: This work is sponsored by Federal Highway Administration National Pooled Fund Study 776, whose support is gratefully acknowledged. The results and opinions presented herein are those of the authors and do not necessarily reflect those of the sponsoring agency.",

year = "2008",

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doi = "10.1016/j.ijheatmasstransfer.2007.09.027",

language = "English (US)",

volume = "51",

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journal = "International Journal of Heat and Mass Transfer",

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T1 - Heat flux field for one spherical inhomogeneity embedded in a functionally graded material matrix

AU - Yin, H. M.

AU - Paulino, G. H.

AU - Buttlar, W. G.

AU - Sun, L. Z.

N1 - Funding Information: This work is sponsored by Federal Highway Administration National Pooled Fund Study 776, whose support is gratefully acknowledged. The results and opinions presented herein are those of the authors and do not necessarily reflect those of the sponsoring agency.

PY - 2008/6

Y1 - 2008/6

N2 - The heat flux field for a single particle embedded in a graded material is derived by using the equivalent inclusion method. A linearly distributed prescribed heat flux field is introduced to represent the material mismatch between the particle and the surrounding graded materials. By using Green's function technique, an explicit solution is obtained for the heat flux field in both the particle and the graded material. Comparison of the present solution with finite element results illustrates the accuracy and limitation of this solution.

AB - The heat flux field for a single particle embedded in a graded material is derived by using the equivalent inclusion method. A linearly distributed prescribed heat flux field is introduced to represent the material mismatch between the particle and the surrounding graded materials. By using Green's function technique, an explicit solution is obtained for the heat flux field in both the particle and the graded material. Comparison of the present solution with finite element results illustrates the accuracy and limitation of this solution.

KW - Equivalent inclusion method

KW - Functionally graded materials

KW - Heat transfer

KW - Inhomogeneity

KW - Thermal conduction

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DO - 10.1016/j.ijheatmasstransfer.2007.09.027

M3 - Article

AN - SCOPUS:42149110863

SN - 0017-9310

VL - 51

SP - 3018

EP - 3024

JO - International Journal of Heat and Mass Transfer

JF - International Journal of Heat and Mass Transfer

IS - 11-12

ER -

Heat flux field for one spherical inhomogeneity embedded in a functionally graded material matrix

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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