Analysis of High-Speed Rolling With Inertia and Rate Effects

[+] Author and Article Information
D. Iddan, J. Tirosh

Technion-lsrael Institute of Technology, Technion City, Haifa 32000 Israel

J. Appl. Mech 63(1), 27-37 (Mar 01, 1996) (11 pages) doi:10.1115/1.2787206 History: Revised August 11, 1991; Received January 14, 1993; Online October 26, 2007


Limit-analysis procedures for time-dependent materials are utilized for assessing some essential technological parameters in high-speed strip rolling (i.e., the torque, the separation force, the minimal friction required to avoid skidding, maximum allowable speed, etc.). The formulations are quite wide in scope (e.g. they include the inertia of the plastic flow beside the material rate effect) but lack, in general, the rigor of the true bound by reasons to be discussed. The solutions are, by default, considered as “approximate bounds” unless stated differently. Due emphasis is given to the development of a lower bound , infrequently employed in metalworking analysis. It yields relevant information about the process which appears entirely consistent with an independent upper bound solution . In particular, the rate effects are shown (in both solutions) to be characterized by the intensity of two dimensionless groups, known universally as Bingham No. and Euler No. Normally they cannot be ignored at high speeds currently attainable in modern industry, above, say, u 0 = 50 [m/s]. For slow speeds, the above solutions constitute rigorous upper and lower bounds. The relative close proximity of the two bounds to experimental data (with copper, aluminum, and steel) and their excellent agreement with the rigid-plastic finite element solution, demonstrate the utility of having these dual bounds simultaneously. A seemingly useful by-product from the analysis is the ability to predict the onset of skidding at very high speeds. For this sake, an expression is offered for determining the maximum allowable rolling speeds (at the incipient of skidding) in conjunction with the requirement for a certain minimum interfacial friction .

Copyright © 1996 by The American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.






Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In