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22672

APPROXIMATE SOLUTION TO THE PROBLEM OF TORSION OF AN IN NITE ELASTIC ROD OF NORMAL CROSS-SECTION IN THE FORM OF A NEPHROID BY A BOUNDARY INTEGRAL METHOD

Article

Last updated: 03 Jan 2025

OverviewSimilar Items

Subjects

-

Tags

Mathematics

Abstract

The torsion of a long elastic bar possessing a normal cross-section bounded by a nephroid is considered by means of an
expansion in polar harmonics, in conjunction with boundary collocation method and the boundary representation of harmonic
functions.
Three types of nephroids are investigated and comparison is carried out between all three cases in what concerns the e¢
ciency of the used method.
The results are illustrated in three-dimensional plots of the unknown functions of practical interest.

DOI

10.21608/absb.2014.22672

Keywords

Theory of elasticity, plane elasticity, torsion of prismatic rods, boundary integral method, numerical solution, collocation method

Authors

First Name

Sheshtawy

Last Name

S.M.

MiddleName

-

Affiliation

Departments of Mathematics, Faculty of Science, Al-Azhar University

Email

-

City

-

Orcid

-

First Name

Ghaleb

Last Name

A. F.

MiddleName

-

Affiliation

Departments of Mathematics, Faculty of Science, Cairo University

Email

-

City

-

Orcid

-

Volume

25

Article Issue

Issue 1-B

Related Issue

4288

Issue Date

2014-06-01

Receive Date

2014-01-05

Publish Date

2014-06-01

Page Start

7

Page End

16

Print ISSN

1110-2535

Online ISSN

2636-3305

Article File

ABSB_Volume 25_Issue Issue 1-B_Pages 7-16.pdf

PDF . 1.0MB

Link

https://absb.journals.ekb.eg/article_22672.html

Detail API

https://absb.journals.ekb.eg/service?article_code=22672

Order

6

Type

Original Article

Type Code

520

Publication Type

Journal

Publication Title

Al-Azhar Bulletin of Science

Publication Link

https://absb.journals.ekb.eg/

MainTitle

APPROXIMATE SOLUTION TO THE PROBLEM OF TORSION OF AN IN NITE ELASTIC ROD OF NORMAL CROSS-SECTION IN THE FORM OF A NEPHROID BY A BOUNDARY INTEGRAL METHOD

Details

Type

Article

Created At

22 Jan 2023