Issue 37

U. Muhin et alii, Frattura ed Integrità Strutturale, 37 (2016) 318-324; DOI: 10.3221/IGF-ESIS.37.42

p

p

v v

v v

  

  

îï     )( , x B y   

B B

B

y



y

y

t

t





,

(4)

x B )(

x

x





x

í

x

í

îò

where p - the variable parameter. Speed Vx

is determined by the law of the constancy of the second volumes:

 Bhv Bhv Bhv Bhv , cos







(5)

0 00

1 11

í í â x x x

2

       R x í .

cos

1

- the peripheral speed of the work roll;  - neutral corner; R - radius of the work roll;



where: V a

Figure 1 : Design scheme. Using well-known relations of the theory of plasticity, and acting in the same way as in [2-3], we find an expression for the intensity of the strain rate, the capacity of the internal resistance and friction, shear and tension. Compared with the model [2-3] in the developed model will be power cut in the neutral section and the power of the front and back tension. Obtain a system of three equations:                          0 ) ( 0 5 4 3 2 1 5 4 3 2 1 N N N N N N N N N N B N N N N N p , (6) System (6) is a mathematical model of the process of broadening the rolled strip, which can be used to study the distribution of the broadening in the deformation as a function of various parameters of rolling and strip, including the tension.            B 0 ) ( 5 4 3 2 1 t

320