Analytical and finite element modelling of circular glare plates under indentation loading and unloading

Tsamasphyros, GJ; Bikakis, GS

dc.contributor.author	Tsamasphyros, GJ	en
dc.contributor.author	Bikakis, GS	en
dc.date.accessioned	2014-03-01T02:01:45Z
dc.date.available	2014-03-01T02:01:45Z
dc.date.issued	2011	en
dc.identifier.issn	09636935	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/29241
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-80053406678&partnerID=40&md5=d186777cadc91c857cb24b98c53356a6	en
dc.subject	Circular plate	en
dc.subject	Dent	en
dc.subject	FEM	en
dc.subject	Fibre-metal laminate	en
dc.subject	GLARE	en
dc.subject	Indentation	en
dc.subject	Unloading	en
dc.subject.other	Algebraic equations	en
dc.subject.other	Analytical expressions	en
dc.subject.other	Analytical formulas	en
dc.subject.other	Analytical results	en
dc.subject.other	ANSYS software	en
dc.subject.other	Circular plates	en
dc.subject.other	Dent	en
dc.subject.other	FEM calculation	en
dc.subject.other	Fibre Metal Laminates	en
dc.subject.other	Finite element modelling	en
dc.subject.other	Load-indentation curves	en
dc.subject.other	Loading and unloading	en
dc.subject.other	Static indentation	en
dc.subject.other	Unloading paths	en
dc.subject.other	Finite element method	en
dc.subject.other	Indentation	en
dc.subject.other	Loading	en
dc.subject.other	Paper laminates	en
dc.subject.other	Plate metal	en
dc.subject.other	Sandwich structures	en
dc.subject.other	Unloading	en
dc.subject.other	Glare	en
dc.title	Analytical and finite element modelling of circular glare plates under indentation loading and unloading	en
heal.type	journalArticle	en
heal.publicationDate	2011	en
heal.abstract	In this paper, analytical expressions are derived and a finite element modelling procedure is proposed in order to predict the static load-indentation curves of circular GLARE fibre-metal laminates during loading and unloading by a hemispherical indentor. Analytical formulas have been recently published for the static indentation of circular GLARE plates which are now used during the loading stage. Here, considering that aluminum layers are in a state of membrane yield and employing energy balance during unloading, the unloading path is determined. Using this unloading path, an algebraic equation is derived and solved for calculating the permanent dent depth of the GLARE plate after the indentor's withdrawal. ANSYS software is used and a non-linear analysis is employed with geometric and material non-linearities for FEM calculations. The derived formulas and the proposed finite element modelling procedure are applied to GLARE 2-2/1-0.3 and to GLARE 3-3/2-0.4 circular plates. The analytical results are compared with corresponding FEM results and a good agreement is found. The analytically calculated permanent dent depth is within 6 % for the GLARE 2 plate, and within 7 % for the GLARE 3 plate, of the corresponding numerically calculated result. No other solution of this problem is known to the authors.	en
heal.journalName	Advanced Composites Letters	en
dc.identifier.volume	20	en
dc.identifier.issue	4	en
dc.identifier.spage	97	en
dc.identifier.epage	104	en