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387303

Deformation of a long thermoelastic rod of rectangular normal cross-section under mixed boundary conditions by boundary integrals

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Last updated: 31 Dec 2024

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Abstract

Using a well-known solution for steady temperature distribution in a rectangle, a boundary
integral method is used to obtain an approximate solution for a plane problem of uncoupled
thermoelasticity with mixed mechanical boundary conditions. The unknown functions in the cross-
section are obtained in the form of series in Cartesian harmonics, enriched with harmonic functions
that have a singular behavior at the transition points. The results are discussed and the functions of
practical interest are represented on the boundary and also inside the domain. The locations where
possible debonding may take place are noted.

DOI

10.1016/j.joems.2015.09.003

Keywords

Plane uncoupled thermoelasticity, Mixed boundary conditions, boundary integral method, Cartesian harmonics, Singular behavior

Authors

First Name

A.

Last Name

Al-Ali

MiddleName

Y.

Affiliation

Department of Mathematics, Faculty of Science, Cairo University, 12613 Giza, Egypt

Email

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City

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Orcid

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First Name

K.

Last Name

Almutairi

MiddleName

H.

Affiliation

Department of Mathematics, Faculty of Science, Cairo University, 12613 Giza, Egypt

Email

-

City

-

Orcid

-

First Name

E.

Last Name

Rawy

MiddleName

K.

Affiliation

-

Email

-

City

-

Orcid

-

First Name

A.

Last Name

Ghaleb

MiddleName

F.

Affiliation

Department of Mathematics, Faculty of Science, Cairo University, 12613 Giza, Egypt

Email

-

City

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Orcid

-

First Name

M.

Last Name

Abou-Dina

MiddleName

S.

Affiliation

Department of Mathematics, Faculty of Science, Cairo University, 12613 Giza, Egypt

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-

City

-

Orcid

-

Volume

24

Article Issue

3

Related Issue

51065

Issue Date

2016-09-01

Receive Date

2024-10-21

Publish Date

2016-09-01

Page Start

449

Page End

457

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 24_Issue 3_Pages 449-457.pdf

PDF . 2.6MB

Link

https://joems.journals.ekb.eg/article_387303.html

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https://joems.journals.ekb.eg/service?article_code=387303

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387,303

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

MainTitle

Deformation of a long thermoelastic rod of rectangular normal cross-section under mixed boundary conditions by boundary integrals

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Type

Article

Created At

21 Dec 2024