Secondary torsional moment deformation effect in inelastic nonuniform torsion of bars of doubly symmetric cross section by BEM

Tsipiras, VJ; Sapountzakis, EJ

dc.contributor.author	Tsipiras, VJ	en
dc.contributor.author	Sapountzakis, EJ	en
dc.date.accessioned	2014-03-01T02:14:36Z
dc.date.available	2014-03-01T02:14:36Z
dc.date.issued	2012	en
dc.identifier.issn	00207462	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/30063
dc.subject	Bar	en
dc.subject	Beam	en
dc.subject	Boundary element method	en
dc.subject	Distributed plasticity	en
dc.subject	Inelastic torsion	en
dc.subject	Nonuniform torsion	en
dc.subject	Secondary shear stresses	en
dc.subject	Secondary torsional moment deformation effect	en
dc.subject	Warping	en
dc.subject	Warping shear stresses	en
dc.subject.other	Bar	en
dc.subject.other	Beam	en
dc.subject.other	Deformation effects	en
dc.subject.other	Nonuniform torsion	en
dc.subject.other	Warping	en
dc.subject.other	Boundary element method	en
dc.subject.other	Deformation	en
dc.subject.other	Numerical methods	en
dc.subject.other	Plastic parts	en
dc.subject.other	Shear stress	en
dc.subject.other	Three dimensional	en
dc.subject.other	Torsional stress	en
dc.subject.other	Shear flow	en
dc.title	Secondary torsional moment deformation effect in inelastic nonuniform torsion of bars of doubly symmetric cross section by BEM	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.ijnonlinmec.2012.03.007	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.ijnonlinmec.2012.03.007	en
heal.publicationDate	2012	en
heal.abstract	In this paper a boundary element method is developed for the inelastic nonuniform torsional problem of simply or multiply connected prismatic bars of arbitrarily shaped doubly symmetric cross section, taking into account the secondary torsional moment deformation effect. The bar is subjected to arbitrarily distributed or concentrated torsional loading along its length, while its edges are subjected to the most general torsional boundary conditions. A displacement based formulation is developed and inelastic redistribution is modeled through a distributed plasticity model exploiting three dimensional material constitutive laws and numerical integration over the cross sections. An incremental-iterative solution strategy is adopted to resolve the elastic and plastic part of stress resultants along with an efficient iterative process to integrate the inelastic rate equations. The one dimensional primary angle of twist per unit length, a two dimensional secondary warping function and a scalar torsional shear correction factor are employed to account for the secondary torsional moment deformation effect. The latter is computed employing an energy approach under elastic conditions. Three boundary value problems with respect to (i) the primary warping function, (ii) the secondary warping one and (iii) the total angle of twist coupled with its primary part per unit length are formulated and numerically solved employing the boundary element method. Domain discretization is required only for the third problem, while shear locking is avoided through the developed numerical technique. Numerical results are worked out to illustrate the method, demonstrate its efficiency and wherever possible its accuracy. © 2012 Elsevier Ltd. All rights reserved.	en
heal.journalName	International Journal of Non-Linear Mechanics	en
dc.identifier.doi	10.1016/j.ijnonlinmec.2012.03.007	en
dc.identifier.volume	47	en
dc.identifier.issue	4	en
dc.identifier.spage	68	en
dc.identifier.epage	84	en