Pregled bibliografske jedinice broj: 670166
Derivation of a linear prestressed elastic rod model from three-dimensional elasticity
Derivation of a linear prestressed elastic rod model from three-dimensional elasticity // Mathematics and mechanics of solids, 20 (2015), 10; 1215-1233 doi:10.1177/1081286513517706 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 670166 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Derivation of a linear prestressed elastic rod model from three-dimensional elasticity
Autori
Marohnić, Maroje ; Tambača, Josip
Izvornik
Mathematics and mechanics of solids (1081-2865) 20
(2015), 10;
1215-1233
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
elastic rod; elastic string; prestress; linearized elasticity; singular perturbation
Sažetak
We derive a one-dimensional model for the displacement of a longitudinally stressed elastic rod starting from a cylindrical three- dimensional linearized prestressed elastic body with a small diameter. The prestress is due to the prior elastic deformation of an isotropic, homogeneous, 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 the solution of the prestressed rod model. The energy of the limit model is the sum of the classical bending energy of the elastic rod and the energy of the prestressed string.
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
- Zentrallblatt für Mathematik/Mathematical Abstracts
