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

Authors

Sheshtawy S.M., Departments of Mathematics, Faculty of Science, Al-Azhar University
Ghaleb A. F., Departments of Mathematics, Faculty of Science, Cairo University

Corresponding Author

S.M., Sheshtawy

Document Type

Original Article

Subject Areas

Mathematics, Statistics, Computer Science, Physics and Astronomy

Keywords

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

Abstract

The torsion of a long elastic bar possessing a normal cross-section bounded by a nephroid is considered by means of anexpansion in polar harmonics, in conjunction with boundary collocation method and the boundary representation of harmonicfunctions.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.

How to Cite This Article

S.M., Sheshtawy and A. F., Ghaleb (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," Al-Azhar Bulletin of Science: Vol. 25: Iss. 1, Article 20.
DOI: https://doi.org/10.21608/absb.2014.22672