Napredna pretraga

A New Linear Shell Model for Shells with Little Regularity

Tambača, Josip
A New Linear Shell Model for Shells with Little Regularity // Journal of elasticity, 117 (2014), 2; 163-188 doi:10.1007/s10659-014-9469-2 (međunarodna recenzija, članak, znanstveni)

Naslov
A New Linear Shell Model for Shells with Little Regularity

Autori
Tambača, Josip

Izvornik
Journal of elasticity (0374-3535) 117 (2014), 2; 163-188

Ključne riječi
Linear elasticity; Shell model; Koiter model; Little regularity; Justification; Junctions; Folded shells

Sažetak
In this paper, a new model of linearly elastic shell is formulated. The model is of Koiter’s type capturing the membrane and bending effects. However, the model is well formulated for shells with little regularity, namely the shells whose middle surface is parameterized by a W^{; ; ; 1, ∞}; ; ; function. Unknowns in the model are the displacement u of the middle surface of the shell and the infinitesimal rotation ω of the shell cross- section. The existence and uniqueness of the solution of the model has been proved for (u, ω) ∈ H1 × H1 with the help of the Lax-Milgram lemma. The model is analyzed asymptotically with respect to the small thickness of the shell. It is shown that the model asymptotically behaves just as the membrane model, the flexural model, and the generalized membrane model in each regime. In this way the model is justified. Since the model is well formulated for shells whose middle surface is with corners, we compare the model with Le Dret’s model of folded plates. It turns out that in the regime of the flexural shells the models are the same. The differential equations of the model are derived. They imply that the model is as a special case of the Cosserat shell model with a single director for a particular constitutive law.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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

Ustanove
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb

Autor s matičnim brojem:
Josip Tambača, (229006)

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:

• MathSciNet
• Zentrallblatt für Mathematik/Mathematical Abstracts