Pregled bibliografske jedinice broj: 605965
Derivation of the linear elastic string model from three-dimensional elasticity
Derivation of the linear elastic string model from three-dimensional elasticity // Journal of elasticity, 111 (2013), 1; 41-65 doi:10.1007/s10659-012-9394-1 (međunarodna recenzija, članak, znanstveni)
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Naslov
Derivation of the linear elastic string model from three-dimensional elasticity
Autori
Marohnić, Maroje ; Tambača, Josip
Izvornik
Journal of elasticity (0374-3535) 111
(2013), 1;
41-65
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Elastic string; Prestress; Linearized elasticity; Singular perturbation
Sažetak
We derive a one-dimensional model for the displacement and torsion of an elastic string starting from a cylindrical three-dimensional linearized prestressed elastic body with small diameter. The prestress is due to the prior elastic deformation of an isotropic, homogenous, elastic body. We deduce the scaling of forces by a formal asymptotic expansion. Then we prove that the family of solutions of three-dimensional problems converges to a limit that is the unique solution of the string model. Coefficients of the string model depend on the three-dimensional elasticity coefficients and the tension due to the predeformation.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
037-0693014-2765 - Matematička analiza kompozitnih i tankih struktura (Tutek, Zvonimir, MZOS ) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, 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
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
