Zl. Zhang et E. Niemi, ANALYZING DUCTILE FRACTURE USING DUAL DILATIONAL CONSTITUTIVE-EQUATIONS, Fatigue & fracture of engineering materials & structures, 17(6), 1994, pp. 695-707
By adopting a suggestion made by Thomason, a new failure criterion for
the Gurson-Tvergaard model has been recently introduced by the author
s. In this study, a method based on the Gurson-Tvergaard constitutive
model and the new failure criterion is applied to the analysis of duct
ile fracture. The main features of the method are that the material fa
ilure is a natural process of the development of Thomason's dual dilat
ional constitutive responses, and the void volume fraction correspondi
ng to the failure by void coalescence is not necessarily a material co
nstant and is not needed to be fitted beforehand. Furthermore, void nu
cleation parameter(s) can be numerically fitted from experimental tens
ion results. This method has been implemented into the ABAQUS finite e
lement program via a user material subroutine and is applied to the pr
ediction of tension problems conducted by the authors. In the analyses
, two strain-controlled void nucleation models have been studied and c
ompared. The void nucleation parameters corresponding to the two model
s have been calibrated. The crack initiation of both smooth and notche
d axisymmetric tensile specimens are well predicted by the method. Fin
ally, several critical issues in the analysis of ductile fracture are
discussed.