The curvature modeling for the double layered clad plate by asymmetric rolling with different diameters

Abstract

The plate curvature model plays an important role in the prediction and control of the double layered clad plate. However, there is currently no such a fast, precise and stable plate curvature model, and the actual shear stress on the cross section is uneven distributed actually which is conflicted with the uniform assumption of the traditional model. Based on the non-uniform distribution, this paper innovatively presents a theoretical plate curvature model using the flow function method and the upper bound method together without the complex stress analysis. The inlet boundary conditions of the model are more accurate modified and optimized as nonlinear functions. The velocity field and strain rate field were built depending on the flow function field. The plastic deformation, shear and friction power were developed by the five-node Gauss-Legendre quadrature method. The post-rolling strain model was obtained by integrating the positive strain rate and shear strain rate with time. The curvature model was constructed by calculating the curvature due to linear and shear strain differences. To demonstrate the validity of the theoretical model, the experiments and the simulation were conducted. The results showed that the relative deviation of the numerical values va and vb is less than 10.0%, accounting for 95.1% and 95.4%, compared with theoretical values. The shear power difference between layer a and b is the main reason for bending. The bending phenomenon appeared the outlet section of the plate, and the velocity difference provided the shear stress required for bending. The increase of the diameter ratios lead to the increase of the shear strain difference and shear power, and it leads to an increase in the total curvature. To certify the precision of the curvature model, the deviation of the theoretical peak curvature values is 12.05%, *

Numerical Simulation as a Tool for the Study, Development, and Optimization of Rolling Processes: A Review

“…In terms of the materials studied, aluminum alloys and steels are the most tested materials, being present in eleven and ten of the articles included in Table 1, respectively. In other studies, simulations of rolling processes have been carried out for titanium [24,34,35,43], copper [32,38], magnesium [28,39,45], and molybdenum [40] alloys and nickel-based superalloys [25,42]. In four papers, clad plates consisting of two different materials [32,35,45,48] have been studied.…”

“…In other studies, simulations of rolling processes have been carried out for titanium [24,34,35,43], copper [32,38], magnesium [28,39,45], and molybdenum [40] alloys and nickel-based superalloys [25,42]. In four papers, clad plates consisting of two different materials [32,35,45,48] have been studied.…”

“…In addition, simulation has also been used to study the behavior of clad plates under rolling. Thus, in [73] the phenomenon of plastic instability in the cold rolling of clad plates of different flow stresses was studied, in [74] the effect of hot rolling on the microstructure and properties of 2205/Q235 clad plates was studied, in [75] analyzed the microstructure evolution and mechanical behavior of Mg/Al sheets manufactured by a new corrugated rolling process, in [76] the vacuum hot rolling of 2205/NI/EH40 clad plates was simulated, in [77] the deformation mechanism and microstructure evolution of 316L/Q235B/316L clad plates manufactured by hot corrugated rolling were studied, in [32] analyzed the deformation behavior and bonding properties of Cu/Al coated plates fabricated by cold corrugated rolling, in [45] the upper bound method was applied to the modeling of the asymmetric rolling of double layered Al/Mg clad plate, in [48] the layer thickness and strain of Q235/1Cr13 clad plates manufactured by rolling with different roll diameters were modeled, while in [51] the hot rolling of 7000 series aluminum alloy clad sheets was simulated.…”

Analysis of the Asymmetrical Rolling of Ultra-Thin Strips Considering Elastic Deformation of the Strips

“…Zhi et al [19] studied the effects of different thickness ratios of component metals on the microstructure, interface structure, and mechanical properties of composite plates. A model was built by Jiang et al [20] to predict the plate curvature of a double-layer clad plate using the flow function method and the upper bound method. Guo et al [21] established a simulation model of TC4/304 clad plate rolling by the finite element method and studied the effect of rolling temperature on the interfacial bonding of clad plates.…”