Modeling of crack growth in round bars and plane strain specimens

The formation of cup-cone fracture in round bars and of slant fracture in plane strain specimens is studied using the finite element (FE) method. Constitutive models proposed by Rousselier [Nucl. Engng. Des. 105 (1987) 97] and by Gurson [Acta Metall. 32 (1984) 157] are used. The analysis takes into account viscoplasticity and void nucleation. Different indicators of localization are computed during FE calculations. The analysis shows that cup-cone is more easily formed using the Rousselier model than the Gurson model. Cup-cone fracture is inhibited in highly viscous materials. The use of the f* function in the Gurson model favors flat fracture. The crack path (flat or cup-cone/slant) can be correlated to the size of the localization zone which is formed ahead of the central penny shaped crack.

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