The elastic plate containing two collinear transverse edge-cracks

Theocaris, PS

dc.contributor.author	Theocaris, PS	en
dc.date.accessioned	2014-03-01T01:06:42Z
dc.date.available	2014-03-01T01:06:42Z
dc.date.issued	1986	en
dc.identifier.issn	0001-5970	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9564
dc.subject	Analytic Function	en
dc.subject	Closed Form Solution	en
dc.subject	Crack Opening Displacement	en
dc.subject	Stress Distribution	en
dc.subject.classification	Mechanics	en
dc.subject.other	ELASTICITY - Calculations	en
dc.subject.other	STRESSES - Evaluation	en
dc.subject.other	AXIAL LOADING	en
dc.subject.other	DISPLACEMENTS	en
dc.subject.other	ISOSTATICS	en
dc.subject.other	STRESS DISTRIBUTION	en
dc.subject.other	PLATES	en
dc.title	The elastic plate containing two collinear transverse edge-cracks	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF01176372	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF01176372	en
heal.language	English	en
heal.publicationDate	1986	en
heal.abstract	The paper solves the problem, in a closed form, of the stress distribution in an infinite plate containing two collinear and transverse edge-cracks, subjected to an axial loading at infinity. The distribution of stresses and displacements all over the cracked plate was effectively solved by applying the method of isostatics, as it has been developed by the author in 1959. The solution of the problem was formulated as a Boussinesq-type problem, where the ligament between the symmetric edge cracks corresponded to the constant displacement zone of the rigid punch. The stress distribution in the cracked plate was expressed by an analytic function of the complex variable, which represented the field of isostatics (i.e. the principal stress trajectories). The advantage of the method over all other existing solutions is that it gives the components of stresses all over the field with the same degree of accuracy, based on a closed-form type of solution. These stresses are given in graphical form along characteristic sections of the plate. Therefore, the method is proved effective for solving completely the problem of externally cracked plates with the same accuracy, as the closed-form solution of an internal crack. The advantages of this fact may be appreciated when one has to find out crack opening displacements all over the lengths of the cracks and, in general, needs data outside the close neighbourhood of the crack tips. © 1986 Springer-Verlag.	en
heal.publisher	Springer-Verlag	en
heal.journalName	Acta Mechanica	en
dc.identifier.doi	10.1007/BF01176372	en
dc.identifier.isi	ISI:A1986E263500015	en
dc.identifier.volume	61	en
dc.identifier.issue	1-4	en
dc.identifier.spage	175	en
dc.identifier.epage	201	en