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Pregled bibliografske jedinice broj: 553984

Periodically wrinkled plate model of the F\"oppl-von K\'arm\'an type


Velčić, Igor
Periodically wrinkled plate model of the F\"oppl-von K\'arm\'an type // Annali della scuola normale superiore di pisa-classe di scienze, 12 (2013), 2; 275-307 doi:10.2422/2036-2145.201104_006 (međunarodna recenzija, članak, znanstveni)


Naslov
Periodically wrinkled plate model of the F\"oppl-von K\'arm\'an type

Autori
Velčić, Igor

Izvornik
Annali della scuola normale superiore di pisa-classe di scienze (0391-173X) 12 (2013), 2; 275-307

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

Ključne riječi
Wrinkled plate; Gamma convergence; F\

Sažetak
In this paper we derive, by means of $\Gamma$-convergence, the periodically wrinkled plate model starting from three dimensional nonlinear elasticity. We assume that the thickness of the plate is $h^2$ and that the mid-surface of the plate is given by $(x_1, x_2) \to (x_1, x_2, h^2\theta(\per))$, where $\theta$ is $[0, 1]^2$ periodic function. We also assume that the strain energy of the plate has the order $h^8=(h^2)^4$, which corresponds to the F\"oppl-von K\'arm\'an model in the case of the ordinary plate. The obtained model mixes the bending part of the energy with the stretching part.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


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

Ustanove
Fakultet elektrotehnike i računarstva, Zagreb,
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb

Autor s matičnim brojem:
Igor Velčić, (267453)

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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