Numerical Prediction of Crack Propagation Behavior in Structural Component byEnhanced Element-Free Galerkin Method

摘要

In this paper, an improved Element-Free Galerkin (EFG) method is proposed by adding enrichment function to theEFG approximation and discontinuity function to the shape function. The singularity and the discontinuity of the crack areefficiently modeled using the enrichment basis and the discontinuity function, respectively. It is a well-known fact thatEFG method is one of the most suitable analysis methods for crack propagation problems because node distributions arenot restricted by element connectivity. The proposed method improves an already powerful method by using only initialnodes arrangement without any additional modification until an analysis is completed.Also this study proposes an unconventional approach in the analysis of fatigue crack growth which predicts the crackgrowth path and the fatigue life of the pre-cracked structural members. From these analysis results, an engineer is able toobtain crucial data needed to determine the capacity and safety of the structures for repairing and strengthening purposes.