Papers by Keyword: Singular Finite Element

Abstract: This paper presents the extensions of newly developed finite element (FE) formulation to evaluate fracture behavior of parallel edge cracks problems. The numerical formulation used Barsoum singular finite elements to compute fracture parameters in two dimensional finite element models subjected to different crack-width ratio and cracks interval ratio. Mixed mode stress intensity factors (SIFs) of parallel edge cracks are computed in extending of FE formulation for pure Mode I formulation proposed by authors. In 2D linear elastic problem under mixed mode condition, the variation of SIF value near crack tips are discussed comprehensively. The newly finite element formulations are resulted with remarkable agreement with energy release rate based method compared to analytical solution available in the literatures.

Abstract: This paper investigates crack interaction of multiple edge cracks in elastic solid finite body under pure Mode I loading. The cracks are located in parallel to another in 2D plate model. The stress intensity factors (SIFs) are determined based on strain energy release rate. The J-integral path independent is employed to study the interaction between cracks in regards to the effect of crack shielding and amplification of various cracks arrangement. The aim of present work is to test several numerical techniques reported in literature. J-integral approach are applied in 2D ANSYS finite element models subjected to different crack-width ratio (a/w) and cracks interval ratio (a/b). For validation, the results are compared to singular finite element approach and related analytical formulation. The results obtained by these methods are found in good agreement with singular finite element. Some discrepancies between analytical solutions are discussed. Nevertheless, since strain energy release is concern to characterize the near crack tip field, the J-integral method seems to be more applicable and accurate for interacting cracks analysis.