Bending-torsion moments in thin multi-structures in the context of nonlinear elasticity
Type
ArticleAuthors
Ferreira, Rita
Zappale, Elvira
Date
2019-12-12Preprint Posting Date
2017-12-07Print Publication Date
2020Embargo End Date
2020-12-12Permanent link to this record
http://hdl.handle.net/10754/660543
Metadata
Show full item recordAbstract
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.2020072Sponsors
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.arXiv
1712.02598ae974a485f413a2113503eed53cd6c53
10.3934/cpaa.2020072