Flexural-torsional buckling analysis of composite beams by BEM including shear deformation effect

Sapountzakis, EJ; Dourakopoulos, JA

dc.contributor.author	Sapountzakis, EJ	en
dc.contributor.author	Dourakopoulos, JA	en
dc.date.accessioned	2014-03-01T01:28:24Z
dc.date.available	2014-03-01T01:28:24Z
dc.date.issued	2008	en
dc.identifier.issn	0093-6413	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/18844
dc.subject	Bar	en
dc.subject	Boundary element method	en
dc.subject	Composite beam	en
dc.subject	Flexural	en
dc.subject	Flexural-torsional buckling	en
dc.subject	Nonuniform torsion	en
dc.subject	Shear deformation	en
dc.subject	Timoshenko beam	en
dc.subject	Twist	en
dc.subject	Warping	en
dc.subject.classification	Mechanics	en
dc.subject.other	Boundary conditions	en
dc.subject.other	Boundary integral equations	en
dc.subject.other	Boundary value problems	en
dc.subject.other	Buckling	en
dc.subject.other	Composite beams and girders	en
dc.subject.other	Deformation	en
dc.subject.other	Difference equations	en
dc.subject.other	Differential equations	en
dc.subject.other	Differentiation (calculus)	en
dc.subject.other	Initial value problems	en
dc.subject.other	Integral equations	en
dc.subject.other	Molecular beam epitaxy	en
dc.subject.other	Numerical analysis	en
dc.subject.other	Ordinary differential equations	en
dc.subject.other	Poisson ratio	en
dc.subject.other	Shear deformation	en
dc.subject.other	Weaving	en
dc.subject.other	Analog equation method	en
dc.subject.other	Applied loads	en
dc.subject.other	Bar	en
dc.subject.other	Basic equations	en
dc.subject.other	Boundary conditioning	en
dc.subject.other	Boundary elements	en
dc.subject.other	Boundary integral equation approach	en
dc.subject.other	Buckling loads	en
dc.subject.other	Co-ordinate systems	en
dc.subject.other	Composite beam	en
dc.subject.other	Composite beams	en
dc.subject.other	Distributed loadings	en
dc.subject.other	Finite numbers	en
dc.subject.other	Flexural	en
dc.subject.other	Flexural-torsional	en
dc.subject.other	Flexural-torsional buckling	en
dc.subject.other	Integral representations	en
dc.subject.other	Linear buckling analysis	en
dc.subject.other	Mathematical formulas	en
dc.subject.other	Nonuniform torsion	en
dc.subject.other	Shear deformation coefficients	en
dc.subject.other	Shear modulus	en
dc.subject.other	Stress functions	en
dc.subject.other	Stress resultants	en
dc.subject.other	Timoshenko beam	en
dc.subject.other	Timoshenko beams	en
dc.subject.other	Transverse displacements	en
dc.subject.other	Twist	en
dc.subject.other	Warping	en
dc.subject.other	Warping functions	en
dc.subject.other	Boundary element method	en
dc.title	Flexural-torsional buckling analysis of composite beams by BEM including shear deformation effect	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.mechrescom.2008.06.007	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.mechrescom.2008.06.007	en
heal.language	English	en
heal.publicationDate	2008	en
heal.abstract	In this paper, a boundary element method is developed for the general flexural-torsional linear buckling analysis of Timoshenko beams of arbitrarily shaped composite cross-section. The composite beam consists of materials in contact, each of which can surround a finite number of inclusions. The materials have different elasticity and shear moduli with same Poisson's ratio and are firmly bonded together. The beam is subjected to a compressive centrally applied load together with arbitrarily axial, transverse and/or torsional distributed loading, while its edges are restrained by the most general linear boundary conditions. The resulting boundary value problem, described by three coupled ordinary differential equations, is solved employing a boundary integral equation approach. Besides the effectiveness and accuracy of the developed method, a significant advantage is that the method can treat composite beams of both thin and thick walled cross-sections taking into account the warping along the thickness of the walls, while the displacements as well as the stress resultants are computed at any cross-section of the beam using the respective integral representations as mathematical formulae. All basic equations are formulated with respect to the principal shear axes coordinate system, which does not coincide with the principal bending one in a nonsymmetric cross-section. To account for shear deformations, the concept of shear deformation coefficients is used. Six coupled boundary value problems are formulated with respect to the transverse displacements, to the angle of twist, to the primary warping function and to two stress functions and solved using the analog equation method, a BEM based method. Several beams are analysed to illustrate the method and demonstrate its efficiency. The significant influence of the boundary conditions and the shear deformation effect on the buckling load are investigated through examples with great practical interest. (C) 2008 Elsevier Ltd. All rights reserved.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	Mechanics Research Communications	en
dc.identifier.doi	10.1016/j.mechrescom.2008.06.007	en
dc.identifier.isi	ISI:000259419100002	en
dc.identifier.volume	35	en
dc.identifier.issue	8	en
dc.identifier.spage	497	en
dc.identifier.epage	516	en