The methods of complex potentials, singular integral equations and integral transformations in a series of problems for the reinforcement of cracked plates

Bardzokas, DI; Mkhitaryan, SM; Sfyris, GI

dc.contributor.author	Bardzokas, DI	en
dc.contributor.author	Mkhitaryan, SM	en
dc.contributor.author	Sfyris, GI	en
dc.date.accessioned	2014-03-01T01:37:26Z
dc.date.available	2014-03-01T01:37:26Z
dc.date.issued	2011	en
dc.identifier.issn	0001-5970	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/21499
dc.subject.classification	Mechanics	en
dc.subject.other	Brittle failures	en
dc.subject.other	Characteristic parameter	en
dc.subject.other	Complex potentials	en
dc.subject.other	Contact Stress	en
dc.subject.other	Cracked plate	en
dc.subject.other	End points	en
dc.subject.other	Exact analytical solutions	en
dc.subject.other	Initiation and propagation	en
dc.subject.other	Integral transformations	en
dc.subject.other	Logarithmic singularity	en
dc.subject.other	Semi-infinite plate	en
dc.subject.other	Singular integral equations	en
dc.subject.other	Tangential contact stress	en
dc.subject.other	Tensile forces	en
dc.subject.other	Vertical crack	en
dc.subject.other	Crack tips	en
dc.subject.other	Cracks	en
dc.subject.other	Integral equations	en
dc.subject.other	Stringers	en
dc.title	The methods of complex potentials, singular integral equations and integral transformations in a series of problems for the reinforcement of cracked plates	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s00707-011-0473-3	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s00707-011-0473-3	en
heal.language	English	en
heal.publicationDate	2011	en
heal.abstract	We study the initiation and propagation of a vertical crack in an elastic semi-infinite plate, reinforced on its boundary by an infinite discontinuous stringer within the limits of the theory of brittle failure. The plate is subjected to uniform distributed tensile forces at infinity, as well as to contact stresses due to application of forces to the stringer. We find the appropriate loading of the coherent stringer, and consequently we consider a problem where the stringer is cracked and a vertical crack has developed within the plate. We deduce the exact analytical solution for the principal singular integral equation for this case; hence the stringer is perfectly rigid and we calculate characteristic parameters of the problem. The results show that the crack tip has a logarithmic singularity, and the tangential contact stresses under the stringer at that end point are finite and generally differ from zero. © 2011 Springer-Verlag.	en
heal.publisher	SPRINGER WIEN	en
heal.journalName	Acta Mechanica	en
dc.identifier.doi	10.1007/s00707-011-0473-3	en
dc.identifier.isi	ISI:000293983000011	en
dc.identifier.volume	221	en
dc.identifier.issue	1-2	en
dc.identifier.spage	147	en
dc.identifier.epage	174	en