Warping shear stresses in nonuniform torsion by BEM

Sapountzakis, EJ; Mokos, VG

dc.contributor.author	Sapountzakis, EJ	en
dc.contributor.author	Mokos, VG	en
dc.date.accessioned	2014-03-01T01:19:41Z
dc.date.available	2014-03-01T01:19:41Z
dc.date.issued	2003	en
dc.identifier.issn	0178-7675	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/15664
dc.subject	Bar	en
dc.subject	Beam	en
dc.subject	Boundary element method	en
dc.subject	Nonuniform torsion	en
dc.subject	Shear stresses	en
dc.subject	Twist	en
dc.subject	Warping	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.classification	Mechanics	en
dc.subject.other	Nonuniform torsion	en
dc.subject.other	Bars (metal)	en
dc.subject.other	Boundary conditions	en
dc.subject.other	Boundary value problems	en
dc.subject.other	Numerical methods	en
dc.subject.other	Torsional stress	en
dc.subject.other	Shear strength	en
dc.title	Warping shear stresses in nonuniform torsion by BEM	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s00466-002-0373-4	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s00466-002-0373-4	en
heal.language	English	en
heal.publicationDate	2003	en
heal.abstract	In this paper a boundary element method is developed for the nonuniform torsion of simply or multiply connected prismatic 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, beside the Saint-Venant torsional shear stresses, the warping normal and shear stresses are also computed. Three boundary value problems with respect to the variable along the beam angle of twist and to the primary and secondary warping functions are formulated and solved employing a BEM approach. Both the warping and the torsion constants using only boundary discretization together with the torsional shear stresses and the warping normal and shear stresses are computed. Numerical results are presented to illustrate the method and demonstrate its efficiency and accuracy. The magnitude of the warping shear stresses due to restrained warping is investigated by numerical examples with great practical interest.	en
heal.publisher	SPRINGER-VERLAG	en
heal.journalName	Computational Mechanics	en
dc.identifier.doi	10.1007/s00466-002-0373-4	en
dc.identifier.isi	ISI:000180851200006	en
dc.identifier.volume	30	en
dc.identifier.issue	2	en
dc.identifier.spage	131	en
dc.identifier.epage	142	en