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    Scaling Instability in Buckling of Axially Compressed Cylindrical Shells

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    Genre
    Journal Article
    Date
    2016-02-01
    Author
    Grabovsky, Y
    Harutyunyan, D
    Subject
    Buckling
    Cylindrical shell
    Instability
    Second variation
    Critical load imperfection sensitivity
    Scaling exponents
    Permanent link to this record
    http://hdl.handle.net/20.500.12613/5778
    
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    DOI
    10.1007/s00332-015-9270-9
    Abstract
    © 2015, Springer Science+Business Media New York. In this paper, we continue the development of mathematically rigorous theory of “near-flip” buckling of slender bodies of arbitrary geometry, based on hyperelasticity. In order to showcase the capabilities of this theory, we apply it to buckling of axially compressed circular cylindrical shells. The theory confirms the classical formula for the buckling load, whereby the perfect structure buckles at the stress that scales as the first power of shell’s thickness. However, in the case of imperfections of load, the theory predicts scaling instability of the buckling stress. Depending on the type of load imperfections, buckling may occur at stresses that scale as thickness to the power 1.5 or 1.25, corresponding to the lower and upper ends, respectively, of the historically accumulated experimental data.
    Citation to related work
    Springer Science and Business Media LLC
    Has part
    Journal of Nonlinear Science
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    ae974a485f413a2113503eed53cd6c53
    http://dx.doi.org/10.34944/dspace/5760
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