A Rapid Online Calculation Method of Three-dimensional Plastic Deformation in Strip Rolling

다국어 초록 (Multilingual Abstract)

Three-dimensional strip plastic deformation model is a key part of shape setup model in hot rolling. The numerical efficiency, accuracy and stability of the method are the main factors that may restrict its online application. Considering the theoretical limitations of existing models, basic equations include equilibrium equations with the effect of shear stress, constitutive equations based on incremental theory, and lubricated friction with the respective coefficients of friction at longitudinal and transverse direction. After normalization of parameters and the asymptotic analysis, the strip plastic deformation model is established, and solved by finite volume method and BICGSTAB algorithm to get the transverse distribution of rolling force of each stand. Compared to the finite element model established by ANSYS software, the new model has reliable results and a short computation time of 31 milliseconds, which show its feasibility of online application.

목차 (Table of Contents)

• Abstract
• 1. Introduction
• 2. Limitations of Existing Models
• 3. Rapid Strip Plastic Deformation Model
• 3.1. Assumptions
• 3.2. Equilibrium Equations
• 3.3. Constitutive Equations
• 3.4. Constitutive Equations
• 3.5. Constant-volume Constraint
• 3.6. Friction
• 3.7. Boundary Conditions
• 3.8. Asymptotic Analysis
• 3.9. Governing Equation
• 3.10. Discretization and Solving
• 4. Results and Verification
• 4.1. Distribution of Rolling Force
• 4.2. Comparison to FEM Model
• 5. Conclusions
• References