Pregled bibliografske jedinice broj: 861327
Derivation of homogenized Euler–Lagrange equations for von Kármán rods
Derivation of homogenized Euler–Lagrange equations for von Kármán rods // Journal of differential equations, 262 (2017), 11; 5565-5605 doi:10.1016/j.jde.2017.02.009 (međunarodna recenzija, članak, znanstveni)
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Naslov
Derivation of homogenized Euler–Lagrange equations for von Kármán rods
Autori
Bukal, Mario ; Pawelczyk Matthäus ; Velčić, Igor
Izvornik
Journal of differential equations (0022-0396) 262
(2017), 11;
5565-5605
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Elasticity ; Homogenization ; Dimension reduction ; Convergence of equilibria
Sažetak
In this paper we study the effects of simultaneous homogenization and dimension reduction in the context of convergence of stationary points for thin nonhomogeneous rods under the assumption of the von Kármán scaling. Assuming stationarity conditions for a sequence of deformations close to a rigid body motion, we prove that the corresponding sequences of scaled displacements and twist functions converge to a limit point, which is the stationary point of the homogenized von Kármán rod model. The analogous result holds true for the von Kármán plate model.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-UIP-2013-11-9477 - MAtematička analiza multifizikalnih problema koji uključuju tanke i kompozitne strukture i fluide (MAMPITCoStruFl) (Velčić, Igor, HRZZ ) ( CroRIS)
Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb
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
Uključenost u ostale bibliografske baze podataka::
- Zentrallblatt für Mathematik/Mathematical Abstracts
