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

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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 http://hdl.handle.net/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


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