The interface crack along a circular inclusion interacting with a crack in the infinite matrix

Theotokoglou, EN; Theotokoglou, EE

dc.contributor.author	Theotokoglou, EN	en
dc.contributor.author	Theotokoglou, EE	en
dc.date.accessioned	2014-03-01T01:18:25Z
dc.date.available	2014-03-01T01:18:25Z
dc.date.issued	2002	en
dc.identifier.issn	0376-9429	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/14996
dc.subject	Complex variable method	en
dc.subject	Fracture	en
dc.subject	Inclusion	en
dc.subject	Interface crack	en
dc.subject	Plane-elasticity problem	en
dc.subject	Stress intensity factors	en
dc.subject.classification	Mechanics	en
dc.subject.other	Computational geometry	en
dc.subject.other	Elasticity	en
dc.subject.other	Green's function	en
dc.subject.other	Inclusions	en
dc.subject.other	Interfaces (materials)	en
dc.subject.other	Matrix algebra	en
dc.subject.other	Stress intensity factors	en
dc.subject.other	Stresses	en
dc.subject.other	Circular inclusions	en
dc.subject.other	Holomorphic functions	en
dc.subject.other	Cracks	en
dc.subject.other	crack	en
dc.subject.other	elasticity	en
dc.subject.other	stress intensity factor	en
dc.title	The interface crack along a circular inclusion interacting with a crack in the infinite matrix	en
heal.type	journalArticle	en
heal.identifier.primary	10.1023/A:1020186628869	en
heal.identifier.secondary	http://dx.doi.org/10.1023/A:1020186628869	en
heal.language	English	en
heal.publicationDate	2002	en
heal.abstract	The plane elasticity problem studied is of a circular inclusion having a circular arc-crack along the interface and a crack of arbitrary shape in an infinite matrix of different material subjected to uniform stresses at infinity. The solution of the problem is given using Muskhelishvili's complex variable method with sectionally holomorphic functions. First, the solution to the (auxiliary) problem of a dislocation (or force) applied at a point in the matrix with the circular inclusion partially bonded is derived fully in its general form by solving the appropriate Rieman-Hilbert problem. It is subsequently used as the Green's function for the initial problem by introducing an unknown density function associated with a distribution of dislocations along the crack in the matrix. The initial problem is then reduced to a singular integral equation (SIE) over the crack in the matrix only. The SIE is solved numerically by appropriate quadratures and the stress intensity factors reported for the arc-cut and a straight crack in the matrix for a range of values of the geometrical parameters.	en
heal.publisher	KLUWER ACADEMIC PUBL	en
heal.journalName	International Journal of Fracture	en
dc.identifier.doi	10.1023/A:1020186628869	en
dc.identifier.isi	ISI:000178470700001	en
dc.identifier.volume	116	en
dc.identifier.issue	1	en
dc.identifier.spage	1	en
dc.identifier.epage	23	en