An approach based on distributed dislocations and disclinations for crack problems in couple-stress elasticity

Gourgiotis, PA; Georgiadis, HG

dc.contributor.author	Gourgiotis, PA	en
dc.contributor.author	Georgiadis, HG	en
dc.date.accessioned	2014-03-01T01:27:52Z
dc.date.available	2014-03-01T01:27:52Z
dc.date.issued	2008	en
dc.identifier.issn	0020-7683	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/18617
dc.subject	Couple-stress elasticity	en
dc.subject	Cracks	en
dc.subject	Disclinations	en
dc.subject	Dislocations	en
dc.subject	Singular integral equations	en
dc.subject.classification	Mechanics	en
dc.subject.other	Boundary conditions	en
dc.subject.other	Boundary value problems	en
dc.subject.other	Computer networks	en
dc.subject.other	Numerical methods	en
dc.subject.other	Couple-stress elasticity	en
dc.subject.other	Cracks	en
dc.subject.other	Disclinations	en
dc.subject.other	Dislocations	en
dc.subject.other	Singular integral equations	en
dc.subject.other	Elasticity	en
dc.title	An approach based on distributed dislocations and disclinations for crack problems in couple-stress elasticity	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.ijsolstr.2008.05.012	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.ijsolstr.2008.05.012	en
heal.language	English	en
heal.publicationDate	2008	en
heal.abstract	The technique of distributed dislocations proved to be in the past an effective approach in studying crack problems within classical elasticity. The present work is intended to extend this technique in studying crack problems within couple-stress elasticity, i.e. within a theory accounting for effects of microstructure. This extension is not an obvious one since rotations and couple-stresses are involved in the theory employed to analyze the crack problems. Here, the technique is introduced to study the case of a mode I crack. Due to the nature of the boundary conditions that arise in couple-stress elasticity, the crack is modeled by a continuous distribution of climb dislocations and constrained wedge disclinations (the concept of 'constrained wedge disclination' is first introduced in the present work). These distributions create both standard stresses and couple stresses in the body. In particular, it is shown that the mode-1 case is governed by a system of coupled singular integral equations with both Cauchy-type and logarithmic kernels. The numerical solution of this system shows that a cracked solid governed by couple-stress elasticity behaves in a more rigid way (having increased stiffness) as compared to a solid governed by classical elasticity. Also, the stress level at the crack-tip region is appreciably higher than the one predicted by classical elasticity. (C) 2008 Elsevier Ltd. All rights reserved.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	International Journal of Solids and Structures	en
dc.identifier.doi	10.1016/j.ijsolstr.2008.05.012	en
dc.identifier.isi	ISI:000260354300002	en
dc.identifier.volume	45	en
dc.identifier.issue	21	en
dc.identifier.spage	5521	en
dc.identifier.epage	5539	en