Show simple item record

dc.contributor.authorFerreira, Rita
dc.contributor.authorZappale, Elvira
dc.date.accessioned2019-12-12T08:27:33Z
dc.date.available2019-12-12T08:27:33Z
dc.date.issued2019-12-12
dc.identifier.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
dc.identifier.doi10.3934/cpaa.2020072
dc.identifier.urihttp://hdl.handle.net/10754/660543
dc.description.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.
dc.description.sponsorshipThe 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.
dc.publisherAmerican Institute of Mathematical Sciences (AIMS)
dc.rightsArchived with thanks to Communications on Pure and Applied Analysis
dc.titleBending-torsion moments in thin multi-structures in the context of nonlinear elasticity
dc.typeArticle
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.identifier.journalCommunications on Pure and Applied Analysis
dc.rights.embargodate2020-12-12
dc.eprint.versionPost-print
dc.contributor.institutionUniversità degli Studi di Salerno, Dipartimento di Ingegneria Industriale Via Giovanni Paolo II, 132 Fisciano (SA), Italy
dc.identifier.arxivid1712.02598
kaust.personFerreira, Rita
refterms.dateFOA2019-12-16T07:34:14Z
dc.date.published-print2020
dc.date.posted2017-12-07


Files in this item

Thumbnail
Name:
1712.02598.pdf
Size:
603.8Kb
Format:
PDF
Description:
Preprint

This item appears in the following Collection(s)

Show simple item record