STRESS STATE AROUND CYLINDRICAL CAVITIES IN ISOTROPIC MEDIUM

The present paper is dealing with the investigation of the stress field around the infinitely long cylindrical cavity, of circular cross section, contained in elastic continuum. Investigation is based upon the determination of the stress function that satisfies the biharmonic equation, for the given...

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Bibliographic Details
Published inArchives for Technical Sciences Vol. 1; no. 5
Main Authors Lukić, Dragan, Prokić, Aleksandar, Brčić, Stanko
Format Journal Article
LanguageEnglish
Published 01.12.2011
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Summary:The present paper is dealing with the investigation of the stress field around the infinitely long cylindrical cavity, of circular cross section, contained in elastic continuum. Investigation is based upon the determination of the stress function that satisfies the biharmonic equation, for the given boundary conditions and for rotationaly symmetrical loading. The solution of the partial differential equation of the problem is given in the form of infinite series of Bessel functions. The particular contribution of the present paper to already existing investigations of the considered problem is the introduction and definition of the new functions representing the loading, which is treated as the corresponding stress boundary conditions. As the verification and illustration of obtained analytical solutions, the paper also contains numerical example.
ISSN:1840-4855
2233-0046
DOI:10.5825/afts.2011.0305.040L