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Research Papers

Enhanced Formability in Sheet Metals Produced by Cladding a High Strain-Rate Sensitive Layer

[+] Author and Article Information
P. D. Wu

e-mail: peidong@mcmaster.ca
Department of Mechanical Engineering,
McMaster University,
Hamilton, ON L8S 4L7, Canada

D. J. Lloyd

Novelis Global Technology Centre,
Kingston, ON K7L 5L9, Canada

J. D. Embury

Department of Material
Science and Engineering,
McMaster University,
Hamilton, ON L8S 4L7, Canada

1Corresponding author.

Contributed by the Applied Mechanics of ASME for publication in the JOURNAL OF APPLIED MECHANICS. Manuscript received January 18, 2013; final manuscript received March 21, 2013; accepted manuscript posted May 7, 2013; published online September 16, 2013. Editor: Yonggang Huang.

J. Appl. Mech 81(2), 021007 (Sep 16, 2013) (4 pages) Paper No: JAM-13-1036; doi: 10.1115/1.4024410 History: Received January 18, 2013; Revised March 21, 2013; Accepted May 07, 2013

The necking behavior of cladding sheets with a rate-sensitive layer cladding on a rate-insensitive core material has been studied. A nonlinear long-wavelength analysis, similar to the one proposed by Hutchinson and Neale (1977, “Influence of Strain-Rate Sensitivity on Necking Under Uniaxial Tension,” Acta Metal., 25, pp. 839–846) for monolithic rate-sensitive materials, is developed to identify the onset of necking in a rate-sensitive clad sheet. This relatively simple analysis is validated by comparing its numerical results with those based on more complicated finite element analysis. It is demonstrated that for monolithic rate-sensitive materials the proposed nonlinear analysis reduces to the one developed by Hutchinson and Neale (1977). For cladding sheets, it is found that the necking strain increases monotonically by increasing the strain-rate sensitivity of the clad layer if the volume fraction of cladding is fixed. It is also revealed that, for fixed strain-rate sensitivity of the clad layer, necking localization is retarded by increasing the volume fraction of the cladding layer.

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Figures

Grahic Jump Location
Fig. 1

Schematic representation of a cladding sheet metal

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Fig. 2

Predicted contours the tensile logarithm strain along the loading direction at an applied strain of 0.3 for monolithic rate-insensitive (m = 0) and rate-sensitive (m = 0.1) materials

Grahic Jump Location
Fig. 3

Predicted strain at necking region ɛi as a function of the train in uniform section ɛo for monolithic rate-sensitive materials

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Fig. 4

Predicted effect of the strain rate sensitivity m on necking strain ɛN for monolithic rate-sensitive materials. The symbols are from FEM, while the solid line is based on the nonlinear analysis.

Grahic Jump Location
Fig. 5

Predicted effect of the volume fraction ρ of the cladding layer on necking strain ɛN. The symbols are from FEM, while the solid lines are based on the nonlinear analysis.

Grahic Jump Location
Fig. 6

Predicted effect of the strain-rate sensitivity m of the cladding layer on necking strain ɛN. The symbols are from FEM, while the solid lines are based on the nonlinear analysis.

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