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Multilevel Mesh Free Method for the Torsion Problem


Kozulić, Vedrana; Gotovac, Blaž; Čolak, Ivo
Multilevel Mesh Free Method for the Torsion Problem // DAAAM International Scientific Book 2006 / Katalinic, Branko (ur.).
Vienna: DAAAM International, 2006. str. 365-384


Naslov
Multilevel Mesh Free Method for the Torsion Problem

Autori
Kozulić, Vedrana ; Gotovac, Blaž ; Čolak, Ivo

Vrsta, podvrsta i kategorija rada
Poglavlja u knjigama, znanstveni

Knjiga
DAAAM International Scientific Book 2006

Urednik/ci
Katalinic, Branko

Izdavač
DAAAM International

Grad
Vienna

Godina
2006

Raspon stranica
365-384

ISBN
3-901509-47-X

Ključne riječi
Mesh free method, basis functions, universality, collocation method, multilevel numerical model, plastic failure

Sažetak
This paper presents a mesh free method for solving the torsion problem of prismatic bars. This method applies Fup basis functions, which belong to the class of Rvachev’ s infinitely derivable finite functions. As it is possible to calculate derivation values of Fup basis functions of high degree in a precise yet simple way, so it is possible efficiently to apply strong formulation procedures. The proposed method represents the problem domain and its boundaries by a set of nodes rather than resorting to the traditional discretization into finite elements. The collocation method was used to form a system of equations in which the differential equation of the problem is satisfied in collocation points of closed domain, while boundary conditions are satisfied exactly at the domain boundary. The proposed mesh free method offers a multilevel approach that achieves the approximate solution of an arbitrary accuracy by hierarchically increasing the number of basis functions in the domain. Values of the main solution function and all the values derived from the main solution are calculated in same points since numerical integration is avoided. The presented numerical model is illustrated by examples of linear and elasto-plastic analyses of prismatic bars subjected to torsion. The propagation of plastic zones in the cross-section is monitored by applying the incremental iterative procedure until its failure.

Izvorni jezik
Engleski

Znanstvena područja
Građevinarstvo, Temeljne tehničke znanosti



POVEZANOST RADA


Projekt / tema
083-0831541-1534 - Adaptivno bezmrežno modeliranje u projektiranju građevinskih konstrukcija (Vedrana Kozulić, )

Ustanove
Fakultet građevinarstva, arhitekture i geodezije, Split