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Accounting for the effect of heterogeneous plastic deformation on the formability of aluminium and steel sheets
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Small, N. R., Williams, D. K., Roy, Rajat and Hazra, S. K. (2020) Accounting for the effect of heterogeneous plastic deformation on the formability of aluminium and steel sheets. International Journal of Advanced Manufacturing Technology, 109 . pp. 397-410. doi:10.1007/s00170-020-05372-0 ISSN 0268-3768.
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Official URL: https://doi.org/10.1007/s00170-020-05372-0
Abstract
Forming Limit Curves characterise ‘mean’ failure strains of sheet metals. Safety levels from the curves define the deterministic upper limit of the processing and part design window, which can be small for high strength, low formability materials.
Effects of heterogeneity of plastic deformation, widely accepted to occur on the microscale, are neglected. Marciniak tests were carried out on aluminium alloys (AA6111-T4, NG5754-O), dual-phase steel (DP600) and mild steel (MS3). Digital image correlation was used to measure the effect of heterogeneity on failure. Heterogeneity, based on strain variance was modelled with the 2-component Gaussian Mixture Model and a framework was proposed to 1) identify the onset of necking and to 2) re-define formability as a probability to failure.
The result were ‘forming maps’ in major-minor strain space of contours of constant probability (from probability, P=0 to P=1), which showed how failure risk increased with major strain. The contour bands indicated the unique degree of heterogeneity in each material. NG5754-O had the greatest width (0.07 strain) in plane strain and MS3 the lowest (0.03 strain). This novel characterisation will allow engineers to balance a desired forming window for a component design with the risk to failure of the material.
Item Type: | Journal Article | |||||||||
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Subjects: | Q Science > QA Mathematics T Technology > TA Engineering (General). Civil engineering (General) T Technology > TJ Mechanical engineering and machinery T Technology > TL Motor vehicles. Aeronautics. Astronautics T Technology > TS Manufactures |
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Divisions: | Faculty of Science, Engineering and Medicine > Engineering > WMG (Formerly the Warwick Manufacturing Group) | |||||||||
Library of Congress Subject Headings (LCSH): | Digital image correlation , Gaussian processes, Sheet-metal -- Mathematical models, Sheet-metal -- Formability -- Mathematical models, Automobiles -- Design and construction | |||||||||
Journal or Publication Title: | International Journal of Advanced Manufacturing Technology | |||||||||
Publisher: | Springer UK | |||||||||
ISSN: | 0268-3768 | |||||||||
Official Date: | July 2020 | |||||||||
Dates: |
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Volume: | 109 | |||||||||
Page Range: | pp. 397-410 | |||||||||
DOI: | 10.1007/s00170-020-05372-0 | |||||||||
Status: | Peer Reviewed | |||||||||
Publication Status: | Published | |||||||||
Reuse Statement (publisher, data, author rights): | This is a post-peer-review, pre-copyedit version of an article published in International Journal of Advanced Manufacturing Technology. The final authenticated version is available online at: http://dx.doi.org/[insert DOI]”. | |||||||||
Access rights to Published version: | Restricted or Subscription Access | |||||||||
Date of first compliant deposit: | 22 May 2020 | |||||||||
Date of first compliant Open Access: | 7 August 2020 | |||||||||
RIOXX Funder/Project Grant: |
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