Remeshing-Based Modeling of Mixed-Mode Crack Propagation in Functionally Graded Materials Using the S-Criterion

This paper presents a numerical study of mixed-mode crack propagation in functionally graded materials (FGM) under non-proportional loading. The minimum strain energy density criterion (S- criterion) and the displacement extrapolation technique are adopted to predict the crack trajectory in FGM beams subjected to tension and three- and four-point bend loadings. By defining the material parameters at the centroid of each finite element, the continuous variation of the properties is taken into account using a specially developed algorithm. Three specimen configurations are modeled by defining a pre-crack parallel and perpendicular to material gradation. Crack trajectories obtained by the developed approach are compared and validated with available numerical and experimental results reported in the literature. It was shown that by using the present remeshing technique, it is possible to maintain an acceptable computing cost in combination with the required precision.