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Pregled bibliografske jedinice broj: 868188

On the simultaneous homogenization and dimension reduction in elasticity and locality of Gamma- closure


Bukal, Mario; Velčić, Igor
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 - 2013-11) ( POIROT)

Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb

Profili:

Avatar Url Mario Bukal (autor)

Avatar Url Igor Velčić (autor)

Citiraj ovu publikaciju

Bukal, Mario; Velčić, Igor
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)
Bukal, M. & Velčić, I. (2017) On the simultaneous homogenization and dimension reduction in elasticity and locality of Gamma- closure. Calculus of variations and partial differential equations, 56, 59-1 doi:10.1007/s00526-017-1167-z.
@article{article, year = {2017}, pages = {59-1-59-41}, DOI = {10.1007/s00526-017-1167-z}, keywords = {elasticity, homogenization, dimension reduction, Gamma-closure}, journal = {Calculus of variations and partial differential equations}, doi = {10.1007/s00526-017-1167-z}, volume = {56}, issn = {0944-2669}, title = {On the simultaneous homogenization and dimension reduction in elasticity and locality of Gamma- closure}, keyword = {elasticity, homogenization, dimension reduction, Gamma-closure} }
@article{article, year = {2017}, pages = {59-1-59-41}, DOI = {10.1007/s00526-017-1167-z}, keywords = {elasticity, homogenization, dimension reduction, Gamma-closure}, journal = {Calculus of variations and partial differential equations}, doi = {10.1007/s00526-017-1167-z}, volume = {56}, issn = {0944-2669}, title = {On the simultaneous homogenization and dimension reduction in elasticity and locality of Gamma- closure}, keyword = {elasticity, homogenization, dimension reduction, Gamma-closure} }

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


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