Shear deformation effect in non-linear analysis of composite beams of variable cross section

Sapountzakis, EJ; Panagos, DG

dc.contributor.author	Sapountzakis, EJ	en
dc.contributor.author	Panagos, DG	en
dc.date.accessioned	2014-03-01T01:29:07Z
dc.date.available	2014-03-01T01:29:07Z
dc.date.issued	2008	en
dc.identifier.issn	0020-7462	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/19140
dc.subject	Beam	en
dc.subject	Boundary element method	en
dc.subject	Non-linear analysis	en
dc.subject	Shear center	en
dc.subject	Shear deformation coefficients	en
dc.subject	Transverse shear stresses	en
dc.subject	Variable cross section	en
dc.subject.classification	Mechanics	en
dc.subject.other	Binary codes	en
dc.subject.other	Boundary conditions	en
dc.subject.other	Boundary element method	en
dc.subject.other	Boundary value problems	en
dc.subject.other	Composite beams and girders	en
dc.subject.other	Deformation	en
dc.subject.other	Differential equations	en
dc.subject.other	Eigenvalues and eigenfunctions	en
dc.subject.other	Electromagnetic prospecting	en
dc.subject.other	Function evaluation	en
dc.subject.other	Initial value problems	en
dc.subject.other	Loading	en
dc.subject.other	Mathematical transformations	en
dc.subject.other	Photoacoustic effect	en
dc.subject.other	Poisson ratio	en
dc.subject.other	Shear deformation	en
dc.subject.other	Shearing machines	en
dc.subject.other	Analog equation method (AEM)	en
dc.subject.other	Applied (CO)	en
dc.subject.other	Axial displacements	en
dc.subject.other	Axial loadings	en
dc.subject.other	Boundary elements	en
dc.subject.other	Boundary integration	en
dc.subject.other	boundary values	en
dc.subject.other	Composite beams	en
dc.subject.other	cross sectioning	en
dc.subject.other	Elsevier (CO)	en
dc.subject.other	Finite numbers	en
dc.subject.other	General boundary conditions	en
dc.subject.other	Iterative processing	en
dc.subject.other	Large deflections	en
dc.subject.other	Non-linear analysis	en
dc.subject.other	Non-linear equations	en
dc.subject.other	Numerical examples	en
dc.subject.other	Poisson	en
dc.subject.other	Shear center	en
dc.subject.other	Shear deformation coefficients	en
dc.subject.other	Shear loadings	en
dc.subject.other	Shear modulus	en
dc.subject.other	Stress functions	en
dc.subject.other	Timoshenko beams	en
dc.subject.other	Transverse displacements	en
dc.subject.other	Twisting moments	en
dc.subject.other	Variable cross section	en
dc.subject.other	Linear equations	en
dc.title	Shear deformation effect in non-linear analysis of composite beams of variable cross section	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.ijnonlinmec.2008.03.005	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.ijnonlinmec.2008.03.005	en
heal.language	English	en
heal.publicationDate	2008	en
heal.abstract	In this paper the non-linear analysis of a composite Timoshenko beam with arbitrary variable cross section undergoing moderate large deflections under general boundary conditions is presented employing the analog equation method (AEM), a BEM-based method. 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 in an arbitrarily concentrated or distributed variable axial loading, while the shear loading is applied at the shear center of the cross section, avoiding in this way the induction of a twisting moment. To account for shear deformations, the concept of shear deformation coefficients is used. Five boundary value problems are formulated with respect to the transverse displacements, the axial displacement and to two stress functions and solved using the AEM. Application of the boundary element technique yields a system of non-linear equations from which the transverse and axial displacements are computed by an iterative process. The evaluation of the shear deformation coefficients is accomplished from the aforementioned stress functions using only boundary integration. Numerical examples are worked out to illustrate the efficiency, the accuracy, the range of applications of the developed method and the influence of the shear deformation effect. (C) 2008 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.2008.03.005	en
dc.identifier.isi	ISI:000258350300010	en
dc.identifier.volume	43	en
dc.identifier.issue	7	en
dc.identifier.spage	660	en
dc.identifier.epage	682	en