


The enhanced capability of the present implementation is demonstrated by solving the problems with complicated geometry under complex loading. A new approach is proposed for an implicit representation of initial notch/crack in the gradient damage models. A detailed stress oscillation study is carried out to provide more insight on the localizing gradient damage model. It is demonstrated through various numerical examples that the localizing gradient damage model is more effective and efficient than the conventional gradient damage model. The motivation behind the implementation is the popularity and computational efficiency of the ABAQUS. In the present study, both conventional and localizing gradient damage models are implemented in the commercial finite element package ABAQUS through user subroutines. With the decrease in non-local interactions, localizing gradient damage model describes the failure phenomena in a physically meaningful manner.

The conventional gradient models based on continuum damage mechanics are found to exhibit inconsistencies in terms of damage initiation and growth.
