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TECHNICAL PAPERS

Modified Anisotropic Gurson Yield Criterion for Porous Ductile Sheet Metals

[+] Author and Article Information
W. Y. Chien, J. Pan

Mechanical Engineering, The University of Michigan, Ann Arbor, MI 48109

S. C. Tang

Ford Research Laboratory, Ford Motor Company, Dearborn, MI 48121

J. Eng. Mater. Technol 123(4), 409-416 (Jul 25, 2000) (8 pages) doi:10.1115/1.1395023 History: Received July 25, 2000
Copyright © 2001 by ASME
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References

Figures

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A three-dimensional model containing a periodic array of voids
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One-eighth of the voided cube model
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Finite element computational results (open symbols) and the results based on the unmodified anisotropic Gurson yield criteria (curves) for: (a) R=0.8 and (b) R=1.6
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Finite element computational results (open symbols) and the results based on the modified anisotropic Gurson yield criteria (curves) for: (a) R=0.8 and (b) R=1.6
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The macroscopic stress-strain relations based on the finite element results, and the unmodified and modified anisotropic Gurson yield criterion under uniaxial tensile conditions for (a) f=0.01 and R=0.8; (b) f=0.01 and R=1.6; (c) f=0.09 and R=0.8; (d) f=0.09 and R=1.6
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The macroscopic stress-strain relations based on the finite element results, and the unmodified and modified anisotropic Gurson yield criterion under equal biaxial tensile conditions for (a) f=0.01 and R=0.8; (b) f=0.01 and R=1.6; (c) f=0.09 and R=0.8; (d) f=0.09 and R=1.6
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The deformed meshes with f=0.01 under uniaxial tensile conditions at E11=0.5 for (a) R=0.8; (b) R=1.6
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The deformed meshes with f=0.01 under equal biaxial tensile conditions at E11=0.25 for (a) R=0.8; (b) R=1.6

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