Pregled bibliografske jedinice broj: 766275
Derivation of a homogenized von-Kármán shell theory from 3D elasticity
Derivation of a homogenized von-Kármán shell theory from 3D elasticity // Annales de l institut henri poincare-analyse non lineaire, 32 (2015), 5; 1039-1070 doi:10.1016/j.anihpc.2014.05.003 (međunarodna recenzija, članak, znanstveni)
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Naslov
Derivation of a homogenized von-Kármán shell theory from 3D elasticity
Autori
Hornung, Peter ; Velčić, Igor
Izvornik
Annales de l institut henri poincare-analyse non lineaire (0294-1449) 32
(2015), 5;
1039-1070
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Elasticity ; Dimension reduction ; Homogenization ; Shell theory ; Two-scale convergence
Sažetak
We derive homogenized von Kármán shell theories starting from three dimensional nonlinear elasticity. The original three dimensional model contains two small parameters: the period of oscillation ε of the material properties and the thickness h of the shell. Depending on the asymptotic ratio of these two parameters, we obtain different asymptotic theories. In the case h≪ε we identify two different asymptotic theories, depending on the ratio of h and ε2. In the case of convex shells we obtain a complete picture in the whole regime h≪ε.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-UIP-2014-09-9477
Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb
Profili:
Igor Velčić
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
