Bending-torsion moments in thin multi-structures in the context of nonlinear elasticity
Preprint Posting Date2017-12-07
Print Publication Date2020
Embargo End Date2020-12-12
Permanent link to this recordhttp://hdl.handle.net/10754/660543
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AbstractHere, 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.
CitationFerreira, 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
SponsorsThe 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.