A BEM solution to transverse shear loading of composite beams

Mokos, VG; Sapountzakis, EJ

dc.contributor.author	Mokos, VG	en
dc.contributor.author	Sapountzakis, EJ	en
dc.date.accessioned	2014-03-01T01:21:42Z
dc.date.available	2014-03-01T01:21:42Z
dc.date.issued	2005	en
dc.identifier.issn	0020-7683	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/16326
dc.subject	Beam	en
dc.subject	Boundary element method	en
dc.subject	Composite	en
dc.subject	Effect of Poisson's ratio	en
dc.subject	Shear center	en
dc.subject	Shear deformation coefficients	en
dc.subject	Transverse shear stresses	en
dc.subject.classification	Mechanics	en
dc.subject.other	Boundary element method	en
dc.subject.other	Correlation methods	en
dc.subject.other	Differentiation (calculus)	en
dc.subject.other	Elastic moduli	en
dc.subject.other	Elasticity	en
dc.subject.other	Finite element method	en
dc.subject.other	Functions	en
dc.subject.other	Poisson ratio	en
dc.subject.other	Shear deformation	en
dc.subject.other	Shear stress	en
dc.subject.other	Structural loads	en
dc.subject.other	Effect of Poisson's ratio	en
dc.subject.other	Shear center	en
dc.subject.other	Shear deformation coefficients	en
dc.subject.other	Shear loading	en
dc.subject.other	Transverse shear stress	en
dc.subject.other	Composite beams and girders	en
dc.title	A BEM solution to transverse shear loading of composite beams	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.ijsolstr.2004.11.005	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.ijsolstr.2004.11.005	en
heal.language	English	en
heal.publicationDate	2005	en
heal.abstract	In this paper a boundary element method is developed for the solution of the general transverse shear loading problem of composite beams of arbitrary constant 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 analysis of the beam is accomplished with respect to a coordinate system that has its origin at the centroid of the cross-section, while its axes are not necessarily the principal ones. The transverse shear loading is applied at the shear centre of the cross-section, avoiding in this way the induction of a twisting moment. Two boundary value problems that take into account the effect of Poisson's ratio are formulated with respect to stress functions and solved employing a pure BEM approach, that is only boundary discretization is used. The evaluation of the transverse shear stresses is accomplished by direct differentiation of these stress functions, while both the coordinates of the shear center and the shear deformation coefficients are obtained from these functions using only boundary integration. Numerical examples with great practical interest are worked out to illustrate the efficiency, the accuracy and the range of applications of the developed method. The accuracy of the proposed shear deformation coefficients compared with those obtained from a 3-D FEM solution of the 'exact' elastic beam theory is remarkable. (C) 2004 Elsevier Ltd. All rights reserved.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	International Journal of Solids and Structures	en
dc.identifier.doi	10.1016/j.ijsolstr.2004.11.005	en
dc.identifier.isi	ISI:000227536600012	en
dc.identifier.volume	42	en
dc.identifier.issue	11-12	en
dc.identifier.spage	3261	en
dc.identifier.epage	3287	en