Nonlinear inelastic uniform torsion of bars by BEM

Sapountzakis, EJ; Tsipiras, VJ

dc.contributor.author	Sapountzakis, EJ	en
dc.contributor.author	Tsipiras, VJ	en
dc.date.accessioned	2014-03-01T01:28:52Z
dc.date.available	2014-03-01T01:28:52Z
dc.date.issued	2008	en
dc.identifier.issn	0178-7675	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/19005
dc.subject	Bar	en
dc.subject	Beam	en
dc.subject	Boundary element method	en
dc.subject	Elastoplastic	en
dc.subject	Inelastic	en
dc.subject	Plastic	en
dc.subject	Shear stresses	en
dc.subject	Twist	en
dc.subject	Uniform torsion	en
dc.subject	Wagner strain	en
dc.subject	Warping	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.classification	Mechanics	en
dc.subject.other	Boundary element method	en
dc.subject.other	Plastic deformation	en
dc.subject.other	Rigidity	en
dc.subject.other	Shear stress	en
dc.subject.other	Stress-strain curves	en
dc.subject.other	Geometric nonlinearity	en
dc.subject.other	Plastic-strain hardening	en
dc.subject.other	Uniform torsion	en
dc.subject.other	Wagner strain	en
dc.subject.other	Elastoplasticity	en
dc.title	Nonlinear inelastic uniform torsion of bars by BEM	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s00466-007-0236-0	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s00466-007-0236-0	en
heal.language	English	en
heal.publicationDate	2008	en
heal.abstract	In this paper the elastic-plastic uniform torsion analysis of simply or multiply connected cylindrical bars of arbitrary cross-section taking into account the effect of geometric nonlinearity is presented employing the boundary element method. The stress-strain relationship for the material is assumed to be elastic-plastic-strain hardening. The incremental 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 nonlinear 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 both its shape and the progress of the plastic region. A boundary value problem with respect to the aforementioned function is formulated and solved employing a BEM approach. The influence of the second Piola-Kirchhoff normal stress component to the plastic/elastic moment ratio in uniform inelastic torsion is demonstrated. The developed procedure retains most of the advantages of a BEM solution over a pure domain discretization method, although it requires domain discretization, which is used only to evaluate integrals. © 2007 Springer-Verlag.	en
heal.publisher	SPRINGER	en
heal.journalName	Computational Mechanics	en
dc.identifier.doi	10.1007/s00466-007-0236-0	en
dc.identifier.isi	ISI:000254402200006	en
dc.identifier.volume	42	en
dc.identifier.issue	1	en
dc.identifier.spage	77	en
dc.identifier.epage	94	en