Surface instability in gradient elasticity with surface energy

Exadaktylos, GE; Vardoulakis, I

dc.contributor.author	Exadaktylos, GE	en
dc.contributor.author	Vardoulakis, I	en
dc.date.accessioned	2014-03-01T01:14:12Z
dc.date.available	2014-03-01T01:14:12Z
dc.date.issued	1998	en
dc.identifier.issn	0020-7683	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/12925
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0032083716&partnerID=40&md5=063b47b3ac54163c3f9885276d0a2a04	en
dc.subject.classification	Mechanics	en
dc.subject.other	Buckling	en
dc.subject.other	Cracks	en
dc.subject.other	Elasticity	en
dc.subject.other	Interfacial energy	en
dc.subject.other	Stability	en
dc.subject.other	Stresses	en
dc.subject.other	Surface waves	en
dc.subject.other	Anisotropic gradient elasticity theory	en
dc.subject.other	Biot theory	en
dc.subject.other	Strain gradient	en
dc.subject.other	Surface instability	en
dc.subject.other	Strain	en
dc.title	Surface instability in gradient elasticity with surface energy	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1998	en
heal.abstract	Biot's theory of plane strain surface instability of an isotropic elastic body under initial stress in finite strain is extended to include higher order strain-gradients. Higher order strain-gradients are properly introduced in the definition of the strain energy density, leading to an anisotropic gradient elasticity theory with surface energy. Accordingly the present theory includes two material lengths characterizing the volume strain energy and the surface energy of the elastic body. The consideration of these two material lengths leads to the occurrence of a boundary layer. This in turn, gives rise to interesting phenomena related to the stability of the half-space, i.e. extra surface instability modes, thin skin effects and significant weakening of the half-space. It is also shown that the appearance of surface instability is associated with the vanishing velocity of propagation of Rayleigh waves. Furthermore, results derived in the context of the present theory on the dependence of the critical buckling stress of the layer on the thickness, suggest that it can be used effectively for the homogenization of elastic bodies containing periodic arrays of collinear Griffith cracks. (C) 1998 Elsevier Science Ltd. All rights reserved.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	International Journal of Solids and Structures	en
dc.identifier.isi	ISI:000072884100003	en
dc.identifier.volume	35	en
dc.identifier.issue	18	en
dc.identifier.spage	2251	en
dc.identifier.epage	2281	en