A comparison between the elastic strain energy and the plastic work at the crack tip

Theocaris, PS

dc.contributor.author	Theocaris, PS	en
dc.date.accessioned	2014-03-01T01:07:02Z
dc.date.available	2014-03-01T01:07:02Z
dc.date.issued	1988	en
dc.identifier.issn	00137944	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9756
dc.subject	Strain Energy	en
dc.subject.other	ELASTICITY	en
dc.subject.other	STRAIN	en
dc.subject.other	CRACK TIP	en
dc.subject.other	DUCTILE MATERIAL T-CRITERION	en
dc.subject.other	ELASTIC STRAIN ENERGY	en
dc.subject.other	PLASTIC WORK	en
dc.subject.other	STRAIN HARDENING MATERIAL	en
dc.subject.other	MATERIALS	en
dc.title	A comparison between the elastic strain energy and the plastic work at the crack tip	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/0013-7944(88)90138-5	en
heal.identifier.secondary	http://dx.doi.org/10.1016/0013-7944(88)90138-5	en
heal.publicationDate	1988	en
heal.abstract	For ductile fractures it becomes progressively imperative to include the plastic components of the quantities defining each particular fracture criterion, in order to derive a relationship, which not only fits the experimental data but also satisfies some appropriate physical principle. In this paper the plastic components of stresses entering in the experessions for the specific plastic work were derived from the plastic singular solution described by the HRR stress field. In order to ascertain the accuracy of such approximate solutions for criteria based on energy balance, a comparison between the components of elastic strain energy density, and its total value, with the specific plastic work (Wp) was undertaken, in order to derive certain conclusions about the importance of the contribution of energy component and the specific plastic work. The analysis was based on the typical case of a transverse internal crack in plate under plane-stress conditions, which is submitted to a mode I deformation. While the dilatational (Tv) and the distortional (TD) components of elastic SED were calculated for impending plasticity the specific plastic work (Wp) was evaluated by assuming ssy conditions and the theory of HRR field using the plastic singular solution for mode I. It was shown that the contributions of Tv, TD, Te (Te = tv + TD) and WP for different strain hardening exponents were varying with ductile materials, presenting a strong influence of Wp. The conclusion was that for highly strain-hardened materials the contribution of the elastic SED and particularly of Tv is important to the mode of fracture of the plate. © 1988.	en
heal.journalName	Engineering Fracture Mechanics	en
dc.identifier.doi	10.1016/0013-7944(88)90138-5	en
dc.identifier.volume	30	en
dc.identifier.issue	6	en
dc.identifier.spage	767	en
dc.identifier.epage	777	en