Calculation of Deformation-Related Quantities in a Hot-Rolling Process

Area of Science:

• Materials Science
• Mechanical Engineering
• Nonlinear Dynamics

Background:

• Hot metal deformation is a complex nonlinear process.
• Existing models often rely on approximations for calculations.
• Accurate characterization is crucial for industrial applications like rolling.

Purpose of the Study:

• To develop a precise mathematical model for hot metal deformation.
• To introduce a local linear transfer function (TF) model in the Laplace domain.
• To accurately determine key physical quantities during deformation.

Main Methods:

• Describing hot deformation as a nonlinear system using a local linear model.
• Utilizing experimental true stress vs. true strain data from uniaxial compression tests.
• Defining working conditions (strain rate, temperature) for the TF model, dependent on strain.

Main Results:

• A transfer function (TF) model accurately represents metal behavior under hot deformation.
• Precisely determined physical quantities include work done per unit deformation, average flow stress, and flow-stress derivative.
• These exact quantities are functions of strain.

Conclusions:

• The developed TF model offers an exact method for calculating critical deformation parameters.
• These precise calculations can enhance the accuracy of rolling force and torque estimations.
• This approach provides a more rigorous framework for understanding hot metal deformation.