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TECHNICAL PAPERS

Application of Multiscale Crystal Plasticity Models to Forming Limit Diagrams

[+] Author and Article Information
Robert D. McGinty

Mercer Engineering Research Center, Warner Robins, GA 31088-7810

David L. McDowell

George W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA 30332-0405

J. Eng. Mater. Technol 126(3), 285-291 (Jun 29, 2004) (7 pages) doi:10.1115/1.1753264 History: Received December 02, 2002; Revised December 30, 2003; Online June 29, 2004
Copyright © 2004 by ASME
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References

Figures

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Schematic of a forming limit diagram illustrating various deformation modes. Dashed lines represent initial (square) geometry of sheet element.
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Experimental forming limit diagram data of aluminum 7
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Schematic of thin sheet containing band of necked material subjected to biaxial tension
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Predicted stress-strain behavior of polycrystal plasticity model of Al proposed by Wu et al. 26 for compression and torsional deformation at 0.0004 s−1 effective strain rate. Three hundred initially randomly oriented grains are simulated.
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Predicted evolution of D11b/D11 for Al subjected to plane strain tension at D11=0.0004 s−1 for three different initial neck-to-band thickness ratios. Three hundred initially randomly oriented grains are simulated. The graph demonstrates that any threshold greater than D11b/D11∼6 is a satisfactory criterion for the onset of necking.
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Predicted evolution of D11b/D11 for Al subjected to plane strain tension at D11=0.0004 s−1 for three different values of the strain rate sensitivity exponent, m. Three hundred initially randomly oriented grains are simulated.
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Predicted FLD of Al deformed at D11=0.0004 s−1 for three different initial neck-to-band thickness ratios. Three hundred initially randomly oriented grains are simulated.
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Predicted FLD of Al deformed at D11=0.0004 s−1 for three different strain rate sensitivity exponents, m. The initial ratio of band to sheet thickness is 0.99. Three hundred initially randomly oriented grains are simulated.
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Measured (Wu et al. 7) and predicted FLDs (this study) of Al for initially isotropic and initially textured (see Fig. 10) polycrystals. The initial ratio of band to sheet thickness is 0.995. Three hundred grains are simulated.
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Predicted {111} pole figure for plane strain compression of an initially isotropic FCC polycrystal to one-tenth its initial thickness. Three hundred Al grains are modeled in the simulation.
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Comparison of predicted FLDs of Al for the two hardening laws given in Eqs. (3) and (12). The texture is initially isotropic. The initial ratio of band to sheet thickness is 0.995. Three hundred grains are simulated.
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Predicted effective stress-strain behavior by polycrystal plasticity model of Al for compression and torsional deformation at 0.0004 s−1 effective strain rate. Hardening surface law in Eq. (12) is used with various values of η in order to give different amounts of shear softening. Three hundred initially randomly oriented grains are simulated.
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Predicted FLD with hardening surface law in Eq. (12) used with various values of η in order to give different amounts of shear softening. Three hundred initially randomly oriented grains are simulated. The initial neck-to-sheet thickness ratio is 0.995.
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Predicted FLD with hardening surface law in Eq. (12) used with various values of η in order to give different amounts of shear softening. Three hundred initially textured grains (see Fig. 10), are simulated. The initial neck-to-sheet thickness ratio is 0.995.

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