Pregled bibliografske jedinice broj: 868188
On the simultaneous homogenization and dimension reduction in elasticity and locality of Gamma- closure
On the simultaneous homogenization and dimension reduction in elasticity and locality of Gamma- closure // Calculus of variations and partial differential equations, 56 (2017), 59-1 doi:10.1007/s00526-017-1167-z (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 868188 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
On the simultaneous homogenization and dimension reduction in elasticity and locality of Gamma- closure
Autori
Bukal, Mario ; Velčić, Igor
Izvornik
Calculus of variations and partial differential equations (0944-2669) 56
(2017);
59-1
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
elasticity ; homogenization ; dimension reduction ; Gamma-closure
Sažetak
On the example of linearized elasticity we provide a framework for simultaneous homogenization and dimension reduction in the setting of linearized elasticity as well as non- linear elasticity for the derivation of homogenized von Karman plate and bending rod models. The framework encompasses even perforated domains and domains with oscillatory boundary, provided that the corresponding extension operator can be constructed. Locality property of Γ-closure is established, i.e. every energy density obtained by the homogenization process can be in almost every point obtained as the limit of periodic energy densities.
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
