In order to achieve the change rule of the induced residual stress (RS) 3eld after multipass ultrasonic surface rolling (USR), a mathematical model of the induced residual stress (RS) 3eld after multipass ultrasonic surface rolling is 3rst established. +en, the coupling mechanisms of the RS 3eld after dual-pass USR and multipass USR are analyzed, respectively. Subsequently, a 3nite element (FE) model is established, and the in8uence of the interval between two adjacent rolling paths LS is investigated. Finally, both the mathematical model and the FE model are experimentally veri3ed. +e results show that both the mathematical model and the FE model can predict the RS 3eld after multipass USR. Two adjacent RS 3elds will couple with each other in their overlapping regions. For a relatively small interval LS, the RS 3eld after multipass USR can be fully coupled, so as to form a uniform compressive RS layer. In this study, when LS � 0.05 mm, the values of the surface compressive RS, the maximum compressive RS, the depth of the maximum compressive RS, and the depth of the compressive RS layer reach 426.71 MPa, 676.54 MPa, 0.05 mm, and 0.54 mm, respectively.
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