Nonlinear strain gradient elastic thin shallow shells

Lazopoulos, KA; Lazopoulos, AK

dc.contributor.author	Lazopoulos, KA	en
dc.contributor.author	Lazopoulos, AK	en
dc.date.accessioned	2014-03-01T01:36:29Z
dc.date.available	2014-03-01T01:36:29Z
dc.date.issued	2011	en
dc.identifier.issn	0997-7538	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/21312
dc.subject	Buckling	en
dc.subject	Intrinsic length	en
dc.subject	Micromechanics	en
dc.subject	Postbuckling analysis	en
dc.subject	Strain gradient elasticity	en
dc.subject	Thin shallow shells	en
dc.subject	Variational procedure	en
dc.subject.classification	Mechanics	en
dc.subject.other	Intrinsic length	en
dc.subject.other	Postbuckling analysis	en
dc.subject.other	Shallow shells	en
dc.subject.other	Strain gradient elasticity	en
dc.subject.other	Variational procedure	en
dc.subject.other	Elasticity	en
dc.subject.other	Elastohydrodynamics	en
dc.subject.other	Micromechanics	en
dc.subject.other	Nonlinear equations	en
dc.subject.other	Plates (structural components)	en
dc.subject.other	Shells (structures)	en
dc.subject.other	Strain measurement	en
dc.subject.other	Strain	en
dc.title	Nonlinear strain gradient elastic thin shallow shells	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.euromechsol.2010.12.011	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.euromechsol.2010.12.011	en
heal.language	English	en
heal.publicationDate	2011	en
heal.abstract	The governing equilibrium equations for strain gradient elastic thin shallow shells are derived, considering nonlinear strains and linear constitutive strain gradient elastic relations. Adopting Kirchhoff's theory of thin shallow structures, the equilibrium equations, along with the boundary conditions, are formulated through a variational procedure. It turns out that new terms are introduced, indicating the importance of the cross-section area in bending of thin plates. Those terms are missing from the existing strain gradient shallow thin shell theories. Those terms highly increase the stiffness of the structures. When the curvature of the shallow shell becomes zero, the governing equilibrium for the plates is derived. (C) 2010 Elsevier Masson SAS. All rights reserved.	en
heal.publisher	GAUTHIER-VILLARS/EDITIONS ELSEVIER	en
heal.journalName	European Journal of Mechanics, A/Solids	en
dc.identifier.doi	10.1016/j.euromechsol.2010.12.011	en
dc.identifier.isi	ISI:000289605400010	en
dc.identifier.volume	30	en
dc.identifier.issue	3	en
dc.identifier.spage	286	en
dc.identifier.epage	292	en