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  • Transverse compression of a thin elastic disc
    Alzaidi, Ahmed S. M. ...
    The mathematical formulations for transverse compression of a thin elastic disc are considered, including various boundary conditions along the faces of the disc. The mixed boundary conditions ... corresponding to the loading by normal stresses in absence of sliding are studied in detail. These conditions support an explicit solution in a Fourier series for the boundary layers localised near the edge of the disc and also do not assume making use of the Saint-Venant principle underlying the traditional asymptotic theory for thin elastic structures. As an example, an axisymmetric problem is studied. Along with the leading order solution for a plane boundary layer, a two-term outer expansion is derived. The latter is expressed through the derivatives of the prescribed stresses. Generalisations of the developed approach are addressed.
    Source: Zeitschrift für angewandte Mathematik und Physik. - ISSN 0044-2275 (Vol. 75, nr. 116, 2024, str. 1-15)
    Type of material - article, component part ; adult, serious
    Publish date - 2024
    Language - english
    COBISS.SI-ID - 196524803

    Link(s):

    https://link.springer.com/article/10.1007/s00033-024-02238-3
    Repository of the University of Ljubljana – RUL
    DOI

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