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
S.M., S., A. F., G. (2014). 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. EKB Journal Management System, 25(Issue 1-B), 7-16. doi: 10.21608/absb.2014.22672
Sheshtawy S.M.; Ghaleb A. F.. "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". EKB Journal Management System, 25, Issue 1-B, 2014, 7-16. doi: 10.21608/absb.2014.22672
S.M., S., A. F., G. (2014). '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', EKB Journal Management System, 25(Issue 1-B), pp. 7-16. doi: 10.21608/absb.2014.22672
S.M., S., A. F., G. 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. EKB Journal Management System, 2014; 25(Issue 1-B): 7-16. doi: 10.21608/absb.2014.22672

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

Al-Azhar Bulletin of Science
Article 6, Volume 25, Issue 1-B, June 2014, Page 7-16  XML PDF (999.82 K)
Document Type: Original Article
DOI: 10.21608/absb.2014.22672
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Authors
Sheshtawy S.M.* 1; Ghaleb A. F.2
1Departments of Mathematics, Faculty of Science, Al-Azhar University
2Departments of Mathematics, Faculty of Science, Cairo University
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.
Keywords
Theory of elasticity; plane elasticity; torsion of prismatic rods; boundary integral method; numerical solution; collocation method
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