Lumped parameter model with inner state variables for modeling hot deformability of steels

• Main Authors: F. Vode, J. Burja, F. Tehovnik, B. Arh
• Format: Article
• Language: English
• Published: Croatian Metallurgical Society 2017-01-01
• Series: Metalurgija
• Subjects: Alloyed steel; Hot deformability; stress-strain curves; mathematical model; Laplacian transformation
• Online Access: http://hrcak.srce.hr/file/249293

A novel method for description of stress-strain relationship for hot deformability of steels is presented. Laplacian transformation of stress-strain data obtained on cylindrical hot compression tests offer simple description of dynamical input/output relationship between strain (input) and stress (output). In this paper, strain/stress relationship is described using transfer function of the third order. Parameters of transfer function are determined by numerical optimization for temperatures 1 000, 1 100 and 1 200 °C and logarithmic strain rates 10, 5 and 1 s^-1. Obtained relative model error is around 1 % for logarithmic deformations in the range 0,1 <  < 0,8.