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Asymptotic analysis of cold sandwich rolling

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Cawthorn, C. J., Minton, J. J. and Brambley, Edward J. (2016) Asymptotic analysis of cold sandwich rolling. International Journal of Mechanical Sciences, 106 . pp. 184-193. doi:10.1016/j.ijmecsci.2015.12.012

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Official URL: http://dx.doi.org/10.1016/j.ijmecsci.2015.12.012

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Abstract

An analytical model for the cold rolling of sandwich sheets is proposed, assuming a rigid-plastic flow rule and Coulomb friction. Asymptotic analysis is used to solve the equations based on the assumptions of small aspect ratio and friction coefficient. This model relaxes the assumption, crucial to slab methods, that the stresses are uniformly distributed through the thickness of each material layer. Thus, our model is able to predict the through-thickness velocity and stress distributions. The leading-order behaviour is shown to be consistent with the slab method, and the predictions are compared with finite element simulations. Computation times are orders of magnitude smaller than finite element calculations.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
T Technology > TA Engineering (General). Civil engineering (General)
T Technology > TN Mining engineering. Metallurgy
T Technology > TS Manufactures
Divisions: Faculty of Science, Engineering and Medicine > Science > Mathematics
Faculty of Science, Engineering and Medicine > Engineering > WMG (Formerly the Warwick Manufacturing Group)
Library of Congress Subject Headings (LCSH): Rolling (Metal-work) , Asymptotic expansions, Sandwich construction, Sheet-metal
Journal or Publication Title: International Journal of Mechanical Sciences
Publisher: Pergamon Press
ISSN: 0020-7403
Official Date: February 2016
Dates:
DateEvent
February 2016Published
22 December 2016Available
15 December 2016Accepted
Volume: 106
Page Range: pp. 184-193
DOI: 10.1016/j.ijmecsci.2015.12.012
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access
RIOXX Funder/Project Grant:
Project/Grant IDRIOXX Funder NameFunder ID
RG68390Engineering and Physical Sciences Research Councilhttp://dx.doi.org/10.13039/501100000266
UNSPECIFIEDRoyal Societyhttp://dx.doi.org/10.13039/501100000288
UNSPECIFIEDGonville and Caius College, University of Cambridgehttp://dx.doi.org/10.13039/501100000622
UNSPECIFIEDRoyal Society of New Zealandhttp://dx.doi.org/10.13039/501100001509

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