Warping shear stresses in nonuniform torsion of composite bars 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	0045-7825	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/15665
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	Engineering, Multidisciplinary	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.classification	Mechanics	en
dc.subject.other	Boundary element method	en
dc.subject.other	Boundary value problems	en
dc.subject.other	Computational methods	en
dc.subject.other	Elasticity	en
dc.subject.other	Shear stress	en
dc.subject.other	Torsional stress	en
dc.subject.other	Composite bars	en
dc.subject.other	Composite materials	en
dc.subject.other	boundary element method	en
dc.title	Warping shear stresses in nonuniform torsion of composite bars by BEM	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0045-7825(03)00417-1	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0045-7825(03)00417-1	en
heal.language	English	en
heal.publicationDate	2003	en
heal.abstract	In this paper a complete approximation of the nonuniform torsion problem of composite bars of arbitrary constant cross section using the boundary element method is developed. The composite bar consists of a matrix surrounding a finite number of inclusions. The materials have different elasticity and shear moduli and are firmly bonded together. The bar is subjected to an arbitrarily concentrated or 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 pure BEM approach, that is only boundary discretization is used. Both the warping and the torsion constants 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. (C) 2003 Elsevier B.V. All rights reserved.	en
heal.publisher	ELSEVIER SCIENCE SA	en
heal.journalName	Computer Methods in Applied Mechanics and Engineering	en
dc.identifier.doi	10.1016/S0045-7825(03)00417-1	en
dc.identifier.isi	ISI:000185383400004	en
dc.identifier.volume	192	en
dc.identifier.issue	39-40	en
dc.identifier.spage	4337	en
dc.identifier.epage	4353	en