A methodology for estimating the structural stress based on the interface forces and moments was developed by Rupp et al. in this case, the interface forces (Fx, Fy, and Fz) and moments (Mx, My, and M z) in the beam element are applicable, i.e., the forces and moments transferred by the spot weld. The crude structural stresses around the spot weld are then not applicable for the structural-stress-based method. A common practice is then to model spot welds with beam elements, which connect two sheets of shell elements without mesh refinements. For automotive structures with a large number of spot welds, one cannot afford to spend too many elements for a single spot weld. Mesh refinements around spot welds are required in finite element analysis for obtaining reliable structural stresses around the spot welds.
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