Non-linear elastic non-uniform torsion of bars of arbitrary cross-section by BEM

Sapountzakis, EJ; Tsipiras, VJ

dc.contributor.author	Sapountzakis, EJ	en
dc.contributor.author	Tsipiras, VJ	en
dc.date.accessioned	2014-03-01T01:33:56Z
dc.date.available	2014-03-01T01:33:56Z
dc.date.issued	2010	en
dc.identifier.issn	0020-7462	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/20623
dc.subject	Bar	en
dc.subject	Beam	en
dc.subject	Boundary-element method	en
dc.subject	Non-linear analysis	en
dc.subject	Non-uniform torsion	en
dc.subject	Shear center	en
dc.subject	Shear stresses	en
dc.subject	Twist	en
dc.subject	Wagner strain	en
dc.subject	Warping	en
dc.subject.classification	Mechanics	en
dc.subject.other	Analog equation methods	en
dc.subject.other	Arbitrary cross section	en
dc.subject.other	Beam axis	en
dc.subject.other	Cylindrical bars	en
dc.subject.other	Domain discretization	en
dc.subject.other	Element method	en
dc.subject.other	Geometric non-linear	en
dc.subject.other	Geometric non-linearity	en
dc.subject.other	Iterative process	en
dc.subject.other	Large rotation	en
dc.subject.other	Longitudinal normal	en
dc.subject.other	Non-linear	en
dc.subject.other	Non-uniform torsion	en
dc.subject.other	Nonuniform	en
dc.subject.other	Numerical results	en
dc.subject.other	Saint-Venant	en
dc.subject.other	Second orders	en
dc.subject.other	Shear center	en
dc.subject.other	Torsional constant	en
dc.subject.other	Torsional rigidity	en
dc.subject.other	Transverse displacements	en
dc.subject.other	Warping function	en
dc.subject.other	Binary codes	en
dc.subject.other	Discrete event simulation	en
dc.subject.other	Rigidity	en
dc.subject.other	Rotation	en
dc.subject.other	Sailing vessels	en
dc.subject.other	Shear stress	en
dc.subject.other	Strain	en
dc.subject.other	Strength of materials	en
dc.subject.other	Thin walled structures	en
dc.subject.other	Torsional stress	en
dc.subject.other	Weaving	en
dc.subject.other	Boundary element method	en
dc.title	Non-linear elastic non-uniform torsion of bars of arbitrary cross-section by BEM	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.ijnonlinmec.2009.09.003	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.ijnonlinmec.2009.09.003	en
heal.language	English	en
heal.publicationDate	2010	en
heal.abstract	In this paper an elastic non-uniform torsion analysis of simply or multiply connected cylindrical bars of arbitrary cross-section taking into account the effect of geometric non-linearity is presented employing the boundary-element(BE) method. The torque-rotation relationship is computed based on the finite-displacement (finite-rotation) theory, that is the transverse displacement components are expressed so as to be valid for large rotations and the longitudinal normal strain includes the second-order geometric non-linear term often described as the ""Wagner strain"". The proposed formulation does not stand on the assumption of a thin-walled structure and therefore the cross-section's torsional rigidity is evaluated exactly without using the so-called Saint-Venant's torsional constant. The torsional rigidity of the cross-section is evaluated directly employing the primary warping function of the cross-section depending on its shape. Three boundary-value problems with respect to the variable along the beam axis angle of twist, to the primary and to the secondary warping functions are formulated. The first one, employing the Analog Equation Method (a BEM-based method), yields a system of non-linear equations from which the angle of twist is computed by an iterative process. The remaining two problems are solved employing a pure BE method. Numerical results are presented to illustrate the method and demonstrate its efficiency and accuracy. The developed procedure retains most of the advantages of a BEM solution over a pure domain discretization method, although it requires domain discretization. © 2009 Elsevier Ltd. All rights reserved.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	International Journal of Non-Linear Mechanics	en
dc.identifier.doi	10.1016/j.ijnonlinmec.2009.09.003	en
dc.identifier.isi	ISI:000273548000007	en
dc.identifier.volume	45	en
dc.identifier.issue	1	en
dc.identifier.spage	63	en
dc.identifier.epage	74	en