This works presents a methodology for numerical simulation of elastic-plastic fracture processes based on an adaptive finite element analysis. The proposed methodology is implemented in an interactive graphics computational system for two-dimensional finite element analysis, which integrates modeling, analysis, and visualization capabilities. The system is under development and its main objectives are: (a) To characterize the non-linear process zone of a crack; (b) To implement numerical procedures for computing J-integral, tearing modulus, and CTOD (Crack-tip Opening Displacement) fracturing parameters; and (c) To simulate fracture propagation based on the computed parameters and on material resistance parameters such as the JR resistance curve. The self-adaptive strategy is based on recursive spatial enumeration techniques: a binary tree partition for the boundary and the crack-line curves and a quadtree partition for domain mesh generation. Cracks can be introduced arbitrarily by the user at any position in the model. The system regenerates the meshes automatically taking into account the new created crack surfaces. The self-adaptive procedure takes into account the arbitrarily generated crack geometry and the finite element error estimation analysis. Tereza Denyse de Araújo, Deane Roehl, Túlio N. Bittencourt, and Luiz F. Martha.