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Pregled bibliografske jedinice broj: 670166

Derivation of a linear prestressed elastic rod model from three-dimensional elasticity


Marohnić, Maroje; Tambača, Josip
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)


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


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

Ustanove
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb

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


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