Modeling of layer thickness and strain for the two-layered metal clad plate rolling with the different roll diameters

The realization of online prediction in rolling production line is an innovative breakthrough in key rolling technology. The deformation behavior of metal clad plate in the deformation zone under different roll diameters is modeled and analyzed in this paper based on the flow function method. The volume flow through the unit section at the rolling inlet is maximum. The maximum volume flow of carbon steel layer occurs at the near bonding surface. The maximum volume flow of stainless steel layer occurs near the top surface. The strong shear effect caused by the velocity break mainly occurs on the side of the carbon steel layer, which plays a decisive role in the composite of metal plate. Meanwhile, the position of the maximum shear stress has a tendency to move towards the outlet of the deformation zone with the increase of the reduction rate, contained within the rolling zone. According to the flow function field, the velocity field model of the clad plate in the rolling deformation zone is established. Based on the upper bound method, the layer thickness and every power proportion can be obtained by the principle of minimum energy. Further, the equivalent strain model of the element is established based on the velocity field and strain rate field models. The accuracy of the model is verified by rolling simulation, experiments and microscopic characterization under different working conditions. The model can provide theoretical guidance and technical support for the online prediction and control of deformation behavior in the rolling process.