Stability of strain gradient elastic bars in tension

Bakogianni, DG; Lazopoulos, KA

dc.contributor.author	Bakogianni, DG	en
dc.contributor.author	Lazopoulos, KA	en
dc.date.accessioned	2014-03-01T01:27:16Z
dc.date.available	2014-03-01T01:27:16Z
dc.date.issued	2007	en
dc.identifier.issn	1862-4472	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/18378
dc.subject	Microstructural effects	en
dc.subject	Multiple scales perturbation method	en
dc.subject	Necking	en
dc.subject	Stability	en
dc.subject	Strain gradient elasticity	en
dc.subject	Strain localization	en
dc.subject.other	Deformation	en
dc.subject.other	Elasticity	en
dc.subject.other	Fourier transforms	en
dc.subject.other	Mechanical stability	en
dc.subject.other	Strain measurement	en
dc.subject.other	Tensile testing	en
dc.subject.other	Microstructural effects	en
dc.subject.other	Multiple scales perturbation methods	en
dc.subject.other	Necking	en
dc.subject.other	Strain gradient elasticity	en
dc.subject.other	Strain localization	en
dc.subject.other	Bars (metal)	en
dc.title	Stability of strain gradient elastic bars in tension	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s11590-006-0039-9	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s11590-006-0039-9	en
heal.language	English	en
heal.publicationDate	2007	en
heal.abstract	Equilibrium of a bar under uniaxial tension is considered as optimization problem of the total potential energy. Uniaxial deformations are considered for a material with linear constitutive law of strain second gradient elasticity. Applying tension on an elastic bar, necking is shown up in high strains. That means the axial strain forms two homogeneously deformed sections in the ends of the bars and a section in the middle with high variable strain. The interactions of the intrinsic (material) lengths with the non linear strain displacement relations develop critical states of bifurcation with continuous Fourier's spectrum. Critical conditions and post-critical deformations are defined with the help of multiple scales perturbation method. © 2007 Springer-Verlag.	en
heal.publisher	SPRINGER HEIDELBERG	en
heal.journalName	Optimization Letters	en
dc.identifier.doi	10.1007/s11590-006-0039-9	en
dc.identifier.isi	ISI:000261234200009	en
dc.identifier.volume	1	en
dc.identifier.issue	4	en
dc.identifier.spage	407	en
dc.identifier.epage	420	en