Pregled bibliografske jedinice broj: 1103199
3d structure - 2d plate interaction model
3d structure - 2d plate interaction model // European Numerical Mathematics and Advanced Applications Conference 2019
Egmond aan Zee, Nizozemska, 2019. (pozvano predavanje, međunarodna recenzija, neobjavljeni rad, znanstveni)
CROSBI ID: 1103199 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
3d structure - 2d plate interaction model
Autori
Tambača, Josip ; Ljulj, Matko
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, neobjavljeni rad, znanstveni
Skup
European Numerical Mathematics and Advanced Applications Conference 2019
Mjesto i datum
Egmond aan Zee, Nizozemska, 30.09.2019. - 04.10.2019
Vrsta sudjelovanja
Pozvano predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
elasticity, interaction, 3d structure, 2d plate
Sažetak
In this work we analyze a model of interaction of a linearized three-dimensional elastic structure with a thin elastic layer of possibly different material attached to it. By dimension reduction techniques we rigorously derive interaction model in five different regimes depending of the order of stiffness of the thin layer. Then we propose 3d structure - 2d plate model with the same asymptotics as the original 3d problem. In this way one does not need to identify a particular regime in advance. We then discuss possible discretizations of the 3d structure - 2d plate model. The work is motivated by the interaction of different blood vessel layers. This work has been supported by the grant HRZZ 2735 of the Croatian Science Foundation.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2018-01-2735 - Asimptotička analiza rubnih problema u mehanici kontinuuma (ASAN) (Marušić-Paloka, Eduard, HRZZ - 2018-01) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb