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On Symmetrical Strain in Solids of Revolution in Spherical Co-Ordinates

Ling, Chih-Bing ; Yang, Kuo-Liang

ASME International ; 1951

In: Journal of Applied Mechanics Vol. 18, No. 4 ( 1951-12-01), p. 367-370

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In: Journal of Applied Mechanics, ASME International, Vol. 18, No. 4 ( 1951-12-01), p. 367-370

Kurzfassung: This paper presents the expressions for the displacements and stresses in the spherical co-ordinates, in terms of a stress function, for a solid of revolution in the state of symmetrical strain. Such expressions are useful in dealing with solids of revolution, which consist of spherical boundaries. The expressions are applied, as an illustration, to find the stresses in a large tension member having a spherical cavity. The required stress function is constructed in terms of Legendre polynomials. It may be interesting to compare this solution with the known solutions.

Materialart: Online-Ressource

ISSN: 0021-8936 , 1528-9036

URL: Article

DOI: 10.1115/1.4010352

Sprache: Englisch

Verlag: ASME International

Publikationsdatum: 1951

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