Shear deformation effect in nonlinear analysis of spatial composite beams subjected to variable axial loading by bem

Sapountzakis, EJ; Mokos, VG

dc.contributor.author	Sapountzakis, EJ	en
dc.contributor.author	Mokos, VG	en
dc.date.accessioned	2014-03-01T01:27:15Z
dc.date.available	2014-03-01T01:27:15Z
dc.date.issued	2007	en
dc.identifier.issn	0001-5970	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/18360
dc.subject	Boundary Element	en
dc.subject	Boundary Element Method	en
dc.subject	Boundary Value Problem	en
dc.subject	Cross Section	en
dc.subject	Nonlinear Analysis	en
dc.subject	poisson's ratio	en
dc.subject	Shear Deformation	en
dc.subject	Systems of Nonlinear Equations	en
dc.subject.classification	Mechanics	en
dc.subject.other	Axial loads	en
dc.subject.other	Boundary value problems	en
dc.subject.other	Composite beams and girders	en
dc.subject.other	Elasticity	en
dc.subject.other	Iterative methods	en
dc.subject.other	Nonlinear equations	en
dc.subject.other	Shear deformation	en
dc.subject.other	Axial displacement	en
dc.subject.other	Distributed variable axial loading	en
dc.subject.other	Symmetric constant crosssection	en
dc.subject.other	Twisting moment	en
dc.subject.other	Nonlinear analysis	en
dc.title	Shear deformation effect in nonlinear analysis of spatial composite beams subjected to variable axial loading by bem	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s00707-007-0466-4	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s00707-007-0466-4	en
heal.language	English	en
heal.publicationDate	2007	en
heal.abstract	In this paper a boundary element method is developed for the nonlinear analysis of composite beams of arbitrary doubly symmetric constant cross section, taking into account the shear deformation effect. 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 Analog Equation Method, a BEM based method. Application of the boundary element technique yields a system of nonlinear 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 with great practical interest are worked out to illustrate the efficiency and the range of applications of the developed method. The influence of both the shear deformation effect and the variableness of the axial loading are remarkable.	en
heal.publisher	SPRINGER WIEN	en
heal.journalName	Acta Mechanica	en
dc.identifier.doi	10.1007/s00707-007-0466-4	en
dc.identifier.isi	ISI:000249007600003	en
dc.identifier.volume	193	en
dc.identifier.issue	1-2	en
dc.identifier.spage	43	en
dc.identifier.epage	65	en