Composite bars of arbitrary cross section in nonlinear Elastic nonuniform torsion by BEM

Sapountzakis, EJ; Tsipiras, VJ

dc.contributor.author	Sapountzakis, EJ	en
dc.contributor.author	Tsipiras, VJ	en
dc.date.accessioned	2014-03-01T01:30:00Z
dc.date.available	2014-03-01T01:30:00Z
dc.date.issued	2009	en
dc.identifier.issn	0733-9399	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/19447
dc.subject	Bars	en
dc.subject	Boundaries	en
dc.subject	Cross sections	en
dc.subject	Geometry	en
dc.subject	Shear stress	en
dc.subject	Torsion	en
dc.subject	Warpage	en
dc.subject.classification	Engineering, Mechanical	en
dc.subject.other	Analog equation methods	en
dc.subject.other	Arbitrary cross section	en
dc.subject.other	Bars	en
dc.subject.other	Beam axis	en
dc.subject.other	Boundaries	en
dc.subject.other	Composite bars	en
dc.subject.other	Cross section	en
dc.subject.other	Cylindrical bars	en
dc.subject.other	Domain discretization	en
dc.subject.other	Elastic nonuniform torsion	en
dc.subject.other	Finite displacement	en
dc.subject.other	Finite number	en
dc.subject.other	Finite rotations	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	Numerical results	en
dc.subject.other	Saint-Venant	en
dc.subject.other	Second orders	en
dc.subject.other	System of nonlinear equations	en
dc.subject.other	Torsional constant	en
dc.subject.other	Torsional rigidity	en
dc.subject.other	Transverse displacements	en
dc.subject.other	Warpages	en
dc.subject.other	Warping function	en
dc.subject.other	Control nonlinearities	en
dc.subject.other	Discrete event simulation	en
dc.subject.other	Nonlinear equations	en
dc.subject.other	Rigidity	en
dc.subject.other	Rotation	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.subject.other	accuracy assessment	en
dc.subject.other	analog model	en
dc.subject.other	boundary element method	en
dc.subject.other	composite	en
dc.subject.other	efficiency measurement	en
dc.subject.other	elasticity	en
dc.subject.other	geometry	en
dc.subject.other	nonlinearity	en
dc.subject.other	rigidity	en
dc.subject.other	shear stress	en
dc.subject.other	theoretical study	en
dc.subject.other	torque	en
dc.title	Composite bars of arbitrary cross section in nonlinear Elastic nonuniform torsion by BEM	en
heal.type	journalArticle	en
heal.identifier.primary	10.1061/(ASCE)EM.1943-7889.0000056	en
heal.identifier.secondary	http://dx.doi.org/10.1061/(ASCE)EM.1943-7889.0000056	en
heal.language	English	en
heal.publicationDate	2009	en
heal.abstract	In this paper the elastic nonuniform torsion analysis of composite cylindrical bars of arbitrary cross section consisting of materials in contact, each of which can surround a finite number of inclusions, taking into account the effect of geometric nonlinearity is presented employing the boundary element method (BEM). All of the cross section's materials are perfectly bonded together, that is separation is not allowed. 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 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 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 nonlinear equations from which the angle of twist is computed by an iterative process. The rest 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 ASCE.	en
heal.publisher	ASCE-AMER SOC CIVIL ENGINEERS	en
heal.journalName	Journal of Engineering Mechanics	en
dc.identifier.doi	10.1061/(ASCE)EM.1943-7889.0000056	en
dc.identifier.isi	ISI:000271912000002	en
dc.identifier.volume	135	en
dc.identifier.issue	12	en
dc.identifier.spage	1354	en
dc.identifier.epage	1367	en