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Pregled bibliografske jedinice broj: 63974

Zbornik radova

Autori: Kožar, Ivica; Bićanić, Nenad
Naslov: Softening materials: an engineering approach
Izvornik: Fracture and Damage Mechanics / Aliabadi, M.H. (ur.). - London : Queen Mary and Westfield College , 1999. 423-431.
Skup: International Congress on Fracture and Damage Mechanics
Mjesto i datum: London, Velika Britanija, 27.-29.7.1999.
Ključne riječi: softening; bifurcation; post-peak behaviour
Sažetak:
A simple example of a bar under tension is examined with softening material behaviour formulated through damage mechanics. For that simple example an energy equation is formed. Graphical presentation of the equation in energy-displacement space demonstrates existence of multiple solutions and bifurcation points. Pre-peak behaviour is well defined and stable and is suitable for both force driven and displacement driven analysis approach. Contrary, the post-peak behaviour can be analysed only with displacement driven analysis. In order to simulate numerical solving Newton procedure is formulated and all mathematically possible solutions are determined. It is clear that the solution obtained depends only on the starting value in the iterative procedure and that it is possible to obtain physically wrong values of displacement that even does not enable localisation of the strain. On the example of a homogenous material it is demonstrated that localisation is possible even without localisation initiator but is hardly to expect because of the iterative character of the solution procedure. Introduction of a localisation initiator eliminates the bifurcation point and forms a solution path that goes from elastic solution to the physically correct localisation in 'weaker' material. However, on a finite element example it is demonstrated that other 'non-physical' solution path still exists and can be obtained as an ('wrong') answer.
Vrsta sudjelovanja: Predavanje
Vrsta prezentacije u zborniku: Cjeloviti rad (više od 1500 riječi)
Vrsta recenzije: Međunarodna recenzija
Projekt / tema: 114102
Izvorni jezik: ENG
Kategorija: Znanstveni
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