Solution of non-uniform torsion of bars by an integral equation method

Sapountzakis, EJ

dc.contributor.author	Sapountzakis, EJ	en
dc.date.accessioned	2014-03-01T01:15:53Z
dc.date.available	2014-03-01T01:15:53Z
dc.date.issued	2000	en
dc.identifier.issn	0045-7949	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/13798
dc.subject	non-uniform torsion	en
dc.subject	bar	en
dc.subject	beam	en
dc.subject	twist	en
dc.subject	boundary element method	en
dc.subject.classification	Computer Science, Interdisciplinary Applications	en
dc.subject.classification	Engineering, Civil	en
dc.subject.other	ELEMENT METHOD	en
dc.title	Solution of non-uniform torsion of bars by an integral equation method	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0045-7949(00)00020-1	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0045-7949(00)00020-1	en
heal.language	English	en
heal.publicationDate	2000	en
heal.abstract	In this paper, a boundary element method (BEM) is developed for the non-uniform torsion of simply or multiply connected cylindrical bars of arbitrary cross-section. The bar is subjected to an arbitrarily distributed twisting moment while its edges are restrained by the most general linear torsional boundary conditions. Since warping is prevented, besides the Saint-Venant torsional shear stresses, the warping normal stresses are also computed. Two boundary value problems with respect to the variable along the beam angle of twist and to the warping function are formulated and solved employing a BEM approach. Both the warping and the torsion constants are computed by employing an effective Gaussian integration over the domains of arbitrary shape. Numerical results are presented to illustrate the method and demonstrate its efficiency and accuracy. The contribution of the normal stresses due to a restrained warping is investigated, by numerical examples, with great practical interest. (C) 2000 Elsevier Science Ltd. All rights reserved.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	COMPUTERS & STRUCTURES	en
dc.identifier.doi	10.1016/S0045-7949(00)00020-1	en
dc.identifier.isi	ISI:000088467400007	en
dc.identifier.volume	77	en
dc.identifier.issue	6	en
dc.identifier.spage	659	en
dc.identifier.epage	667	en