The elastic plate containing two collinear transverse edge-cracks

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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

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