“…Over the past several decades, in order to balance the efficiency, in terms of cost and accuracy, there have been various FEM models developed to simulate the mechanical behavior of bolted joints. In general, these models can be divided into macroscale, 1,11,12,43 mesoscale, 15,44,45 and multi-scale models, 46 corresponding to 1D, 2D, and 3D models, respectively. Compared with the latter two models, the 1D beam model is the first model used for the aircraft structural design 47 in the initial design stage of the design.…”