A point heat source on the apex of a transversely isotropic piezothermoelastic cone

Peng-Fei Hou; Wei Luo; Andrew Y.T. Leung

doi:10.1016/j.euromechsol.2007.06.002

A point heat source on the apex of a transversely isotropic piezothermoelastic cone

Peng-Fei Hou, Wei Luo, Andrew Y.T. Leung

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

3 Citations (Scopus)

Abstract

We use the compact harmonic general solutions of transversely isotropic piezothermoelastic materials to construct the three-dimensional solutions of a steady point heat source on the apex of a transversely isotropic piezothermoelastic cone by four newly introduced harmonic functions. All components of coupled field are expressed in terms of elementary functions and are convenient to use. When the apex angle 2α equals to π, the solutions reduce to those of the semi-infinite body problem, which is called Green's function. Numerical results are given graphically by contours. © 2007 Elsevier Masson SAS. All rights reserved.

Original language	English
Pages (from-to)	418-428
Journal	European Journal of Mechanics, A/Solids
Volume	27
Issue number	3
DOIs	https://doi.org/10.1016/j.euromechsol.2007.06.002
Publication status	Published - May 2008

Research Keywords

Cone
Green's function
Piezothermoelastic
Point heat source
Transversely isotropic

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title = "A point heat source on the apex of a transversely isotropic piezothermoelastic cone",

abstract = "We use the compact harmonic general solutions of transversely isotropic piezothermoelastic materials to construct the three-dimensional solutions of a steady point heat source on the apex of a transversely isotropic piezothermoelastic cone by four newly introduced harmonic functions. All components of coupled field are expressed in terms of elementary functions and are convenient to use. When the apex angle 2α equals to π, the solutions reduce to those of the semi-infinite body problem, which is called Green's function. Numerical results are given graphically by contours. {\textcopyright} 2007 Elsevier Masson SAS. All rights reserved.",

keywords = "Cone, Green's function, Piezothermoelastic, Point heat source, Transversely isotropic",

author = "Peng-Fei Hou and Wei Luo and Leung, {Andrew Y.T.}",

year = "2008",

month = may,

doi = "10.1016/j.euromechsol.2007.06.002",

language = "English",

volume = "27",

pages = "418--428",

journal = "European Journal of Mechanics, A/Solids",

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TY - JOUR

T1 - A point heat source on the apex of a transversely isotropic piezothermoelastic cone

AU - Hou, Peng-Fei

AU - Luo, Wei

AU - Leung, Andrew Y.T.

PY - 2008/5

Y1 - 2008/5

N2 - We use the compact harmonic general solutions of transversely isotropic piezothermoelastic materials to construct the three-dimensional solutions of a steady point heat source on the apex of a transversely isotropic piezothermoelastic cone by four newly introduced harmonic functions. All components of coupled field are expressed in terms of elementary functions and are convenient to use. When the apex angle 2α equals to π, the solutions reduce to those of the semi-infinite body problem, which is called Green's function. Numerical results are given graphically by contours. © 2007 Elsevier Masson SAS. All rights reserved.

AB - We use the compact harmonic general solutions of transversely isotropic piezothermoelastic materials to construct the three-dimensional solutions of a steady point heat source on the apex of a transversely isotropic piezothermoelastic cone by four newly introduced harmonic functions. All components of coupled field are expressed in terms of elementary functions and are convenient to use. When the apex angle 2α equals to π, the solutions reduce to those of the semi-infinite body problem, which is called Green's function. Numerical results are given graphically by contours. © 2007 Elsevier Masson SAS. All rights reserved.

KW - Cone

KW - Green's function

KW - Piezothermoelastic

KW - Point heat source

KW - Transversely isotropic

UR - http://www.scopus.com/inward/record.url?scp=41649103236&partnerID=8YFLogxK

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-41649103236&origin=recordpage

U2 - 10.1016/j.euromechsol.2007.06.002

DO - 10.1016/j.euromechsol.2007.06.002

M3 - RGC 21 - Publication in refereed journal

SN - 0997-7538

VL - 27

SP - 418

EP - 428

JO - European Journal of Mechanics, A/Solids

JF - European Journal of Mechanics, A/Solids

IS - 3

ER -

A point heat source on the apex of a transversely isotropic piezothermoelastic cone

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