Napredna pretraga

Pregled bibliografske jedinice broj: 545410

Derivation of the nonlinear bending-torsion model for a junction of elastic rods


Tambača, Josip; Velčić, Igor
Derivation of the nonlinear bending-torsion model for a junction of elastic rods // Proceedings of the Royal Society of Edinburgh. Section A, 142 (2012), 3; 633-664 doi:10.1017/S0308210510000491 (međunarodna recenzija, članak, znanstveni)


Naslov
Derivation of the nonlinear bending-torsion model for a junction of elastic rods

Autori
Tambača, Josip ; Velčić, Igor

Izvornik
Proceedings of the Royal Society of Edinburgh. Section A (0308-2105) 142 (2012), 3; 633-664

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

Ključne riječi
Rods; one-dimensional model; junction; contact conditions

Sažetak
In this paper we derive the one-dimensional bending-torsion equilibrium model modeling the junction of straight rods. The starting point is a three-dimensional nonlinear elasticity equilibrium problem written as a minimization problem for a union of thin rod--like bodies. By taking the limit as the thickness of the 3D rods goes to zero, and by using ideas from the theory of Gamma-convergence, we obtain that the resulting model consists of the union of the usual one--dimensional nonlinear bending-torsion rod models which satisfy the following transmission conditions at the junction point: continuity of displacement and rotation of the cross--sections and balance of contact forces and contact couples.

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

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


Citati