Fracture parameters analysis of stationary cracks under dynamic loads based on the field-enriched finite element method

Abstract

In this paper, a field-enriched finite element method (FE-FEM) is proposed to simulate the dynamic fracture of stationary cracks in linear elastic solids. The dynamic basic theory and numerical implementation of the field-enriched finite element method are introduced in detail. Through the benchmark example, the convergence analysis of the fracture parameters is carried out. The dynamic stress intensity factors (DSIFs) considering inertia effect are calculated. The effectiveness of this strategy is first verified by two dynamic fracture examples of rectangular plates with horizontal cracks and inclined cracks, respectively. Then, the proposed method is applied to the dynamic fracture analysis of rectangular plates with holes and cracks, in which different load forms, such as step load, blasting load, cyclic load and harmonic load, are considered. In addition, the effect of the wave field on the dynamic parameters of the tip of the edge crack in plate subjected to impact loads is also investigated. The results show that the proposed numerical method has good stability and convergence, and can effectively analyze the change of fracture parameters of stationary crack under dynamic loads.