3-D beam element of composite cross section including warping and shear deformation effects

Sapountzakis, EJ; Mokos, VG

dc.contributor.author	Sapountzakis, EJ	en
dc.contributor.author	Mokos, VG	en
dc.date.accessioned	2014-03-01T01:25:31Z
dc.date.available	2014-03-01T01:25:31Z
dc.date.issued	2007	en
dc.identifier.issn	0045-7949	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/17696
dc.subject	Bar	en
dc.subject	Beam	en
dc.subject	Boundary element method	en
dc.subject	Composite	en
dc.subject	Nonuniform torsion	en
dc.subject	Shear deformation	en
dc.subject	Stiffness matrix	en
dc.subject	Twist	en
dc.subject	Warping	en
dc.subject.classification	Computer Science, Interdisciplinary Applications	en
dc.subject.classification	Engineering, Civil	en
dc.subject.other	Beams and girders	en
dc.subject.other	Boundary element method	en
dc.subject.other	Composite materials	en
dc.subject.other	Numerical methods	en
dc.subject.other	Shear deformation	en
dc.subject.other	Stiffness matrix	en
dc.subject.other	Nodal load vectors	en
dc.subject.other	Nonuniform torsions	en
dc.subject.other	Shear deformation coefficients	en
dc.subject.other	Three dimensional computer graphics	en
dc.title	3-D beam element of composite cross section including warping and shear deformation effects	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.compstruc.2006.09.003	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.compstruc.2006.09.003	en
heal.language	English	en
heal.publicationDate	2007	en
heal.abstract	In this paper a boundary element method is developed for the construction of the 14 x 14 stiffness matrix and the nodal load vector of a member of arbitrary homogeneous or composite cross section taking into account both warping and shear deformation effects. The composite member consists of materials in contact each of which can surround a finite number of inclusions. To account for shear deformations, the concept of shear deformation coefficients is used. In this investigation the definition of these factors is accomplished using a strain energy approach. Seven boundary value problems are formulated and solved employing a pure BEM approach, that is only boundary discretization is used. The evaluation of the shear deformation coefficients is accomplished from stress functions using only boundary integration. Numerical results are presented to illustrate the method and demonstrate its efficiency and accuracy. The influence of the warping effect especially in composite members of open form cross section is analyzed through examples demonstrating the importance of the inclusion of the warping degrees of freedom in the analysis of a space frame. Moreover, the discrepancy of both the deflections and the internal forces of a member of a spatial structure arising from the ignorance of the shear deformation effect necessitates the inclusion of this additional effect, especially in thick walled cross section members. (c) 2006 Elsevier Ltd. All rights reserved.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	Computers and Structures	en
dc.identifier.doi	10.1016/j.compstruc.2006.09.003	en
dc.identifier.isi	ISI:000244235500009	en
dc.identifier.volume	85	en
dc.identifier.issue	1-2	en
dc.identifier.spage	102	en
dc.identifier.epage	116	en