Bending of marble with intrinsic length scales: A gradient theory with surface energy and size effects

Vardoulakis, I; Exadaktylos, G; Kourkoulis, SK

dc.contributor.author	Vardoulakis, I	en
dc.contributor.author	Exadaktylos, G	en
dc.contributor.author	Kourkoulis, SK	en
dc.date.accessioned	2014-03-01T01:13:36Z
dc.date.available	2014-03-01T01:13:36Z
dc.date.issued	1998	en
dc.identifier.issn	1155-4339	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/12604
dc.subject	Length Scale	en
dc.subject	Size Effect	en
dc.subject	Surface Energy	en
dc.subject.classification	Physics, Multidisciplinary	en
dc.subject.other	Aspect ratio	en
dc.subject.other	Bending (deformation)	en
dc.subject.other	Bending moments	en
dc.subject.other	Failure (mechanical)	en
dc.subject.other	Loads (forces)	en
dc.subject.other	Marble	en
dc.subject.other	Mechanical properties	en
dc.subject.other	Partial differential equations	en
dc.subject.other	Spatial variables measurement	en
dc.subject.other	Strain rate	en
dc.subject.other	Surface tension	en
dc.subject.other	Bernoulli-Euler term	en
dc.subject.other	Gradient bending theory	en
dc.subject.other	Intrinsic length scales	en
dc.subject.other	Size effect	en
dc.subject.other	Strain energy function	en
dc.subject.other	Continuum mechanics	en
dc.title	Bending of marble with intrinsic length scales: A gradient theory with surface energy and size effects	en
heal.type	journalArticle	en
heal.identifier.primary	10.1051/jp4:1998849	en
heal.identifier.secondary	http://dx.doi.org/10.1051/jp4:1998849	en
heal.language	English	en
heal.publicationDate	1998	en
heal.abstract	A gradient bending theory is developed based on a strain energy fonction that includes the classical Bernoulli-Euler term, the shape correction term (microstructural length scale) introduced by Timoshenko, and a term associated with surface energy (micromaterial length scale) accounting for the bending moment gradient effect. It is shown that the last term is capable to interpret the size effect in three-point bending (3PB), namely the decrease of the failure load with decreasing beam length for the same aspect ratio. This theory is used to describe the mechanical behaviour of Dionysos-Pentelikon marble in 3PB. Series of tests with prismatic marble beams of the same aperture but with different lengths were conducted and it was concluded that the present theory predicts well the size effect.	en
heal.publisher	E D P SCIENCES	en
heal.journalName	Journal De Physique. IV : JP	en
dc.identifier.doi	10.1051/jp4:1998849	en
dc.identifier.isi	ISI:000077547500050	en
dc.identifier.volume	8	en
dc.identifier.issue	8	en
dc.identifier.spage	Pr8	en
dc.identifier.epage	399-Pr8-406	en