Abstract
In this paper, the nonlinear specific plastic power of the Mises criterion is integrated analytically to establish the rolling force model of gradient temperature rolling for an ultra-heavy plate by a new method called the root vector decomposition method. Firstly, the sinusoidal velocity field is proposed in terms of the characteristics of metal flow during ultra-heavy plate rolling, which satisfies the kinematically admissible condition. Meanwhile, the characteristics of the temperature distribution along the thickness direction of the plate during the gradient temperature rolling is described mathematically. Based on the velocity field and the temperature distribution expression, the rolling energy functional is obtained by using the root vector decomposition method, and the analytical solution of rolling force is derived according to the variational principle. Through comparison and verification, the rolling force model solved by the root vector decomposition method in this paper is in good agreement with the measured one, and the maximum error of the rolling force is just 10.21%.
Highlights
Gradient temperature rolling, as an advanced rolling technology which can effectively improve the quality of ultra-heavy plate, has received extensive attention
The research on gradient temperature rolling technology can be traced back to the Super-OLAC system developed by JFE Company in 1998.1 By using this technology, the product quality has been significantly improved, and the yield of finished products has been increased by about 20%
In order to speed up the calculation in gradient temperature rolling process and guarantee the accuracy of temperature distribution in thickness direction, Ding et al.[16] investigated the temperature control technology by finite difference scheme with thickness unequally partitioned method
Summary
Gradient temperature rolling, as an advanced rolling technology which can effectively improve the quality of ultra-heavy plate, has received extensive attention. Zhang et al.[15] established a 3D rigid-plastic thermo-mechanical finite element model to study the edge deformation and metal flow of a heavy plate in the rolling process, and obtained rolling force data with large temperature gradient, which fits well with the measured data. In order to speed up the calculation in gradient temperature rolling process and guarantee the accuracy of temperature distribution in thickness direction, Ding et al.[16] investigated the temperature control technology by finite difference scheme with thickness unequally partitioned method This method is not universal, and different models need to be established under different conditions. In order to solve the above problems, an analytical solution of gradient temperature rolling force is established by using energy method, since this method can provide an upper bound solution with good calculation accuracy in terms of a reasonable velocity field, and can disclose the relationship between the rolling force and process parameters well.
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