Corresponding Author

S.M., Sheshtawy

Document Type

Original Article

Subject Areas

Mathematics, Statistics, Computer Science, Physics and Astronomy


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


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.

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