A displacement solution to transverse shear loading of composite beams by BEM

Sapountzakis, EJ; Mokos, VG

dc.contributor.author	Sapountzakis, EJ	en
dc.contributor.author	Mokos, VG	en
dc.date.accessioned	2014-03-01T01:29:32Z
dc.date.available	2014-03-01T01:29:32Z
dc.date.issued	2009	en
dc.identifier.issn	1546-2218	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/19292
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-77249170347&partnerID=40&md5=237e3915fcd1822b198f62176d7bf2bf	en
dc.subject	Beam	en
dc.subject	Boundary element method	en
dc.subject	Composite	en
dc.subject	Principal shear axes	en
dc.subject	Shear center	en
dc.subject	Shear deformation Coefficients	en
dc.subject	Transverse shear stresses	en
dc.subject	Warping function	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Materials Science, Multidisciplinary	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.other	Arbitrary constants	en
dc.subject.other	Co-ordinate system	en
dc.subject.other	Composite beam	en
dc.subject.other	Cross section	en
dc.subject.other	Direct differentiation	en
dc.subject.other	Displacement solution	en
dc.subject.other	Exact solution	en
dc.subject.other	Finite number	en
dc.subject.other	Interior point	en
dc.subject.other	Numerical example	en
dc.subject.other	Shear center	en
dc.subject.other	Shear deformation coefficients	en
dc.subject.other	Shear modulus	en
dc.subject.other	Transverse shear	en
dc.subject.other	Transverse shear stress	en
dc.subject.other	Twisting moment	en
dc.subject.other	Two boundary value problems	en
dc.subject.other	Warping function	en
dc.subject.other	Composite beams and girders	en
dc.subject.other	Shear deformation	en
dc.subject.other	Shear stress	en
dc.subject.other	Strength of materials	en
dc.subject.other	Tools	en
dc.subject.other	Weaving	en
dc.subject.other	Boundary element method	en
dc.title	A displacement solution to transverse shear loading of composite beams by BEM	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	2009	en
heal.abstract	In this paper the boundary element method is employed to develop a displacement solution for the general transverse shear loading problem of composite beams of arbitrary constant cross section. The composite beam (thin or thick walled) consists of materials in contact, each of which can surround a finite number of inclusions. The materials have different elasticity and shear moduli 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 bending ones. The transverse shear loading is applied at the shear center of the cross section, avoiding in this way the induction of a twisting moment. The evaluation of the transverse shear stresses at any interior point is accomplished by direct differentiation of a warping function. The shear deformation coefficients are obtained from the solution of two boundary value problems with respect to warping functions appropriately arising from the aforementioned one using only boundary integration, while the coordinates of the shear center are obtained from these functions using again only boundary integration. Three boundary value problems are formulated with respect to corresponding warping functions and solved employing a pure BEM approach. Numerical examples are worked out to illustrate the efficiency, the accuracy and the range of applications of the developed method. The accuracy of the obtained values of the resultant transverse shear stresses compared with those obtained from an exact solution is remarkable. Copyright © 2009 Tech Science Press.	en
heal.publisher	TECH SCIENCE PRESS	en
heal.journalName	Computers, Materials and Continua	en
dc.identifier.isi	ISI:000273121700001	en
dc.identifier.volume	10	en
dc.identifier.issue	1	en
dc.identifier.spage	1	en
dc.identifier.epage	39	en