On a point defect inside an idealized elastic sphere

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dc.contributorVirginia Tech. Department of Materials Science and Engineeringen
dc.contributor.authorLing, Chih B.en
dc.contributor.authorHouska, Charles R.en
dc.contributor.departmentMaterials Science and Engineering (MSE)en
dc.date.accessed2015-04-24en
dc.date.accessioned2015-05-21T19:47:27Zen
dc.date.available2015-05-21T19:47:27Zen
dc.date.issued1983en
dc.description.abstractThis paper presents a method of solution for the displacement, stress, and strain due to a point defect located inside a sphere. The solution is represented by a Love stress function in spherical coordinates, which is biharmonic in character. Two axisymmetric types of the point defect are considered. One is treated as a center of dilatation and the other as a double force without moment, or a doublet, oriented axisymmetrically. The Love stress function for the point defect in an infinite solid is specified in each case by a single biharmonic function. The residual tractions on the surface of the sphere left by this function are annulled by superposing two series of biharmonic functions. When the Love stress function is determined, the displacement, stress, and strain can be derived straightforwardly.en
dc.description.sponsorshipNational Science Foundation (U.S.) - Grant No. DMR-8000933en
dc.description.sponsorshipVirginia Techen
dc.format.extent6 pagesen
dc.format.mimetypeapplication/pdfen
dc.identifier.citationLing, C. B., Houska, C. R. (1983). On a point defect inside an idealized elastic sphere. Journal of Applied Physics, 54(9), 5123-5127. doi: 10.1063/1.332734en
dc.identifier.doihttps://doi.org/10.1063/1.332734en
dc.identifier.issn0021-8979en
dc.identifier.urihttp://hdl.handle.net/10919/52449en
dc.identifier.urlhttp://scitation.aip.org/content/aip/journal/jap/54/9/10.1063/1.332734en
dc.language.isoen_USen
dc.publisherAmerican Institute of Physicsen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectPoint defectsen
dc.subjectElasticityen
dc.titleOn a point defect inside an idealized elastic sphereen
dc.title.serialJournal of Applied Physicsen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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