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    Bending-torsion moments in thin multi-structures in the context of nonlinear elasticity

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    Type
    Article
    Authors
    Ferreira, Rita cc
    Zappale, Elvira
    KAUST Department
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    Date
    2019-12-12
    Preprint Posting Date
    2017-12-07
    Print Publication Date
    2020
    Embargo End Date
    2020-12-12
    Permanent link to this record
    http://hdl.handle.net/10754/660543
    
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    Abstract
    Here, we address a dimension-reduction problem in the context of nonlinear elasticity where the applied external surface forces induce bending-torsion moments. The underlying body is a multi-structure in R3 consisting of a thin tube-shaped domain placed upon a thin plate-shaped domain. The problem involves two small parameters, the radius of the cross-section of the tube-shaped domain and the thickness of the plate-shaped domain. We characterize the different limit models, including the limit junction condition, in the membrane-string regime according to the ratio between these two parameters as they converge to zero.
    Citation
    Ferreira, R., & Zappale, E. (2020). Bending-torsion moments in thin multi-structures in the context of nonlinear elasticity. Communications on Pure & Applied Analysis, 19(3), 1747–1793. doi:10.3934/cpaa.2020072
    Sponsors
    The authors thank Professors F. Murat for having suggested to target the model proposed in Section 6.2 and R. Alicandro and M.G. Mora for insights on the double-well case. E. Zappale is a member of GNAMPA- INdAM whose support is gratefully acknowledged.
    Publisher
    American Institute of Mathematical SciencesPO Box 2604SpringfieldMO 65801-2604
    Journal
    Communications on Pure and Applied Analysis
    DOI
    10.3934/cpaa.2020072
    arXiv
    1712.02598
    ae974a485f413a2113503eed53cd6c53
    10.3934/cpaa.2020072
    Scopus Count
    Collections
    Articles; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

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