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Derivation and justification of the model of micropolar elastic shells from three-dimensional linearized micropolar elasticity


Aganović, Ibrahim; Tambača, Josip; Tutek, Zvonimir
Derivation and justification of the model of micropolar elastic shells from three-dimensional linearized micropolar elasticity // Asymptotic Analysis, 51 (2007), (3, 4); 335-361 (međunarodna recenzija, članak, znanstveni)


Naslov
Derivation and justification of the model of micropolar elastic shells from three-dimensional linearized micropolar elasticity

Autori
Aganović, Ibrahim ; Tambača, Josip ; Tutek, Zvonimir

Izvornik
Asymptotic Analysis (0921-7134) 51 (2007), (3, 4); 335-361

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Elastic shells; micropolar elasticity; asymptotic method; two-dimensional model; justification

Sažetak
In this paper we derive a two-dimensional model of elastic shell-like body from the three dimensional linearized micropolar elasticity. Derivation is based on the asymptotic expansion method with respect to the thickness of the shell. The method is used without any a priori assumption on the scaling of the unknowns. The leading term, displacement and microrotation, is identified as the unique solution of a certain two-dimensional problem well defined for W^{; ; ; 1, \infty}; ; ; shells. Appropriate convergence results are proved.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekt / tema
037-0693014-2765 - Matematička analiza kompozitnih i tankih struktura (Zvonimir Tutek, )

Ustanove
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb

Časopis indeksira:


  • 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:


  • The INSPEC Science Abstracts series
  • Mathematical Reviews