Relaxation of Thick-Walled Cylinders and Spheres

N. Saabye Ottosen

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    Abstract

    Using the nonlinear creep law proposed by Soderberg, (1936) closed-form solutions are derived for the relaxation of incompressible thick-walled spheres and cylinders in plane strain. These solutions involve series expressions which, however, converge very quickly. By simply ignoring these series expressions, extremely simple approximate solutions are obtained. Despite their simplicity these approximations possess an accuracy that is superior to approximations currently in use. Finally, several physical aspects related to the relaxation of cylinders and spheres are discussed
    Original languageEnglish
    JournalJournal of Applied Mechanics
    Volume49
    Issue number3
    Pages (from-to)487-491
    ISSN0021-8936
    DOIs
    Publication statusPublished - 1982

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