Application of polynomial and discontinuous SGFEM for analysis of structures in damage process under mixed-mode fracture

Resumo

This work aimed to implement polynomial and discontinuous enrichment functions, according to the
strategy of the Stabilized Generalized Finite Element Method (SGFEM), to simulate mixed-mode failure problems

in structures. The mixed-mode model was formulated and developed based on a bilinear damage model for quasi-
brittle materials. The results were verified by comparison with experimental curves drawn from test results from

the four-point shear test. The computational efficiency and accuracy of the polynomial and discontinuous SGFEM
were then tested to improve the prediction of the failure behavior over a conventional Finite Element analysis,
especially for coarser meshes. The results showed that the proposed models had accuracy equivalent to others
found in the literature but employing a much smaller number of elements and degrees of freedom.