Introduction ix
1. One-dimensional model of the deformation zone 1
1.1. The deformation zone in the moving coordinate system 1
1.2. Differential equation of rolling 4
1.3. Numerical solution method 7
1.4. Rolling force 9
1.5. The torque in the roll 11
2. Mathematical model of wide-strip hot rolling of steel 14
2.1. Modeling the structure of the steel during hot rolling 14
2.1.1. Model of austenizing steel in heating 14
2.1.2. Mathematical model of the austenitic structure upon deformation under isothermal conditions 17
2.1.3. Features of modelling the parameters of the structure of austenite under isothermal multiple deformation 22
2.1.4. Formation of the austenite structure in isothermal conditions 23
2.1.5. Calculation of isothermal decomposition diagrams of austenite 24
2.1.6. Method of calculation of thermokinetic diagrams of austenite breakdown 26
2.1.7. Evaluation of the model of mechanical properties 31
2.2. Deformation resistance 35
2.3. Strip temperature 42
3. Control of the formation of the microstructure and mechanical properties of rolled steel 47
3.1. Modelling of microstructure and mechanical properties in the rolling mill 50
3.2. Automatic control system of the properties of rolled steel in ShSGP wide-strip hot rolling mill 58
3.3. Special features of production of hot-rolled strip plate for continuous cold rolling mills 62
4. Stability and reliability of the hot rolling process 69
4.1. Increasing the reliability of the analysis of the sheet rolling process 69
4.2. Stability assessment of the quality of sheet rolled products 73
4.3. Effect of heating conditions of slabs on the stability rolling technology for sheets and strips 75
4.4. Reliability of hot strip rolling technology 79
4.4.1. Evaluation of the reliability of hot rolling technology 79
4.4.2. Influence of design features of wide-strip mills on the reliability of the rolling process and the quality of sheet steel 87
5. Asymmetric strip rolling 98
5.1. Features and possibilities of asymmetric rolling 98
5.2. Calculation of process parameters of the asymmetric rolling by the method of slip lines 107
5.2.1. Matrix-operator version of the method of slip lines 107
5.2.2. Basic equations of planar plastic flow 107
5.2.3. Relations along the slip lines 111
5.2.4. Formulation of boundary-value problems 113
5.2.5. The matrix–operator method of constructing slip line fields 116
5.2.6. Construction of the field of slip lines and the velocity hodograph 127
5.2.7. The matrix equation for the asymmetric process 131
5.2.8. Analysis of the results of calculation 135
5.3. Effects of process asymmetry in cold strip rolling 146
5.4. Influence of asymmetry on the rolling process on the texture of steel sheet 164
5.5. Using process asymmetry to determine the friction coefficient in rolling 172
6. Mathematical model of the process of cold rolling of strips in continuous mills 180
6.1. The model of the stationary process 180
6.1.1. Selection of the method for calculating the deformation resistance 180
6.1.2. Investigation of the deformation resistance of steel in the deformation zone 185
6.1.3. Calculation of the friction coefficient in the deformation zone 191
6.1.4. Calculation of the strip temperature in the line of the rolling mill 195
6.2. The model of the non-stationary process 198
6.2.1. The equation of the stand–drive–strip dynamic system 198
6.2.2. Mathematical model of contact stresses in the deformation zone in rolling welded joints 201
6.2.3. Methods for solving the dynamic problem 205
6.2.4. Simulation of the transition process in rolling a welded joint 207
7. Optimisation of the technological conditions of continuous cold rolling of strips 210
7.1. Selection of the criterion and optimisation method 210
7.2. Selection of the value of relative reduction in the final stand of the cold rolling mill 214
7.3. Rolling in knurled rolls 218
7.4. Rolling in ‘cold’ rolls 219
7.5. Special features of the technology of rolling strips with welded joints 221
7.5.1. Effect of the rolling process parameters on strip tension 224
7.5.2. The effect of the speed’ in acceleration and deceleration of the rolling mill 234
8. Stability of the technology of cold rolling of strips 241
8.1. Indicators of the instability of the cold rolling process 241
8.2. Calculation of instability parameters of the process 246
8.3. Dynamic loads is drive lines and vibrations in the stands of continuous cold rolling mills 251
9. Features of the rolling method of production of sheet steel 263
9.1. A mathematical model of the stress–strain state of coils of cold rolled strips 263
9.2. Numerical evaluation of the conditions for contact of strip turns in a roll 282
9.3. Welding of strip loops in rolls during metal annealing 285
9.4. Experimental studies of stresses in strip rolls 291
9.5. Effect of process parameters on the winder stress–strain state rolls 299
9.6. Selecting tension modes when winding strips rolls of cold-rolled strips 317
9.7. Stress–strain and temperature condition of hot-rolled strips 350
9.8. Rational technology of cooling and storage of hot-rolled strips 366
10. Skin pass rolling of sheet steel 379
10.1. Theoretical basis of skin pass rolling 379
10.2. Kinematic and power parameters of the skin pass rolling process 383
10.3. Features of technology of skin pass rolling thin strips 399
10.4. Effect of skin pass rolling conditions on the properties of steel 406
10.5. Skin pass rolling of hot-rolled steel 410
10.6. Relationships governing the formation of metal surface microrelief 416
11. Energy saving when rolling strips 432
11.1. Saving energy in wide-strip hot-rolling mills 432
11.2. Reduction of energy consumption in the production of cold rolled steel sheet and tin plate 434
11.3. Thermal insulation and heat saving in rolling mills 443
12. Preventing defects in thin sheet steel 447
12.1. Defect morphology. External features of kinking 448
12.2. Defect formation. Causes and mechanism of kinking 450
12.3. Welding of adjacent turns during the annealing of cold-rolled steel coils 455
12.4. Effect of coiling technology of cold rolled steel and of unwinding of strip rolls on the formation of kinking defects 464
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