Abstract
In recent years, two-layer metallic sheets have been increasingly used in various industries to create combined functions. Among cladding methods, the cold rolling is most widely used in producing bimetallic sheets. In this research, to thoroughly provide guidelines for cold rolling of bimetal strip, an attempt has been made to develop an analytical model based on upper bound method. Also, the bonding strength and critical reduction were calculated using upper bound theorem and the finite element simulation was used for Al/St bimetallic strip. Finally, an experimental study was run for our model to be verified analytically and numerically. Results show that the bonding strength of strips increases with increasing the total thickness reduction of bimetal strips and because of subsequent occurrence of strips bonding in roll gap, increasing the yield strength of base layer gives rise to critical reduction. Through the study, it becomes clear that the proposed analytical model is applicable for simulating the cold rolling process of the two-layer strips and is capable to broaden our knowledge in manufacturing and production of bimetal strips and sheets.
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Abbreviations
- t i, mm:
-
Initial thickness of bimetal strips
- t f, mm:
-
Final thickness of bimetal strips
- t 0, mm:
-
Initial thickness of composite
- t s0, mm:
-
Initial thickness of clad layer
- t h0, mm:
-
Initial thickness of base layer
- t sf, mm:
-
Final thickness of clad layer
- t hf, mm:
-
Final thickness of base layer
- V 01, mm/s:
-
Initial velocity of clad layer
- V 02, mm/s:
-
Initial velocity of base layer
- V f, mm/s:
-
Final velocity of bimetal strip
- V, mm/s:
-
Linear velocity of roll
- \( V^{\prime}_{01} ,V^{\prime}_{02} \), mm/s:
-
Linear velocity in (V) and (VI) regions
- ωR, 1/s:
-
Rotational velocity of roll
- ωi, 1/s:
-
Rotational velocity of each rigid zone
- n :
-
Strain hardening exponent
- Γi :
-
Surface of velocity discontinuity
- R 0, mm:
-
Radius of roll
- R i, mm:
-
Radius of cylindrical surface of velocity discontinuity
- ξi and λi :
-
Velocity ratio in the rigid zones
- ΔV i, mm/s:
-
Amount of velocity discontinuity on each surface of velocity discontinuity
- W i :
-
Shear power of the surface of velocity discontinuity
- J*:
-
Total shear power
- m 1 :
-
Friction factor between roll and strips
- m 2 :
-
Constant friction factor between layers
- σ0S, MPa:
-
Yield stress of clad layer (outer layer)
- σ0h, MPa:
-
Yield stress of base layer (inner layer)
- Τ, MPa:
-
Shear stress
- K′, MPa:
-
Bonding strength between two layers
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Acknowledgments
The authors would like to thank the Research Board of Shahid Rajaei University, Lavizan, Tehran, Iran, for the equipment support and provision of the research facilities used in this work. Also, the help by Eng. Amir Bagherzadeh is acknowledged.
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Maleki, H., Bagherzadeh, S., Mollaei-Dariani, B. et al. Analysis of Bonding Behavior and Critical Reduction of Two-Layer Strips in Clad Cold Rolling Process. J. of Materi Eng and Perform 22, 917–925 (2013). https://doi.org/10.1007/s11665-012-0342-9
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DOI: https://doi.org/10.1007/s11665-012-0342-9