A graph-theoretic equivalence model for predicting defect-driven failure paths in additive lattice structures
摘要
Unlike the traditional use of finite element simulation, in this paper, a new method for predicting the failure of lattice structures based on the equivalent analysis strategy of graphic element visualization paths is proposed in order to reveal the influence of defect types or locations on the failure paths of structural components. Firstly, based on the principle of stress concentration, a criterion for judging the hazard points of the structure was proposed so as to quickly determine the dangerous points of the structure. Then, the failure path was considered as the transition between the hazard points and hazard points. A basic equivalent model based on graphic element paths was proposed, making the problem of predicting the failure path of the lattice structure equivalent to finding the shortest path between the identified hazard points. Finally, the two-dimensional and three-dimensional failure paths of the lattice structure were obtained through the Dijkstra algorithm. By comparing the simulation results, it can be seen that the trend of the failure path prediction is consistent with the trend of the finite element simulation results, which proves the effectiveness of the proposed method.