Napredna pretraga

Multilevel Mesh Free Method for the Torsion Problem

Kozulić, Vedrana; Gotovac, Blaž; Čolak, Ivo
Multilevel Mesh Free Method for the Torsion Problem // International Scientific Symposium MODELING OF STRUCTURES - Proceedings / Čolak, Ivo (ur.).
Mostar: University of Mostar, 2008. str. 281-304 (predavanje, međunarodna recenzija, cjeloviti rad (in extenso), znanstveni)

Naslov
Multilevel Mesh Free Method for the Torsion Problem

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

Izvornik
International Scientific Symposium MODELING OF STRUCTURES - Proceedings / Čolak, Ivo - Mostar : University of Mostar, 2008, 281-304

Skup
International Scientific Symposium MODELING OF STRUCTURES

Mjesto i datum
Mostar, Bosna i Hercegovina, 13-15.11.2008

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

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. 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