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Single crystal and polycrystal elasto-viscoplasticity: Application to earing in cup drawing of F.C.C. materials

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Abstract

Constitutive equations for single and polycrystal elasto-viscoplasticity which are capable of modeling the initial and evolving anisotropy in ductile metallic materials due to the evolution of crystallographic texture are reviewed, and the implementation of these equations in a finite element program is described. The constitutive equations and computational procedures are used to simulate the formation of earing defects during cup-drawing of face-centered cubic materials. Comparison of the results of the numerical simulations against existing experimental results on earing in single crystalline sheets of aluminum and in cold-rolled polycrystalline copper shows that the predictions of the number of ears and their positions are in excellent agreement with the experiments.

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Communicated by S. N. Atluri, 18 August 1995

Dedicated to J. C. Simo

Financial support for this work was provided by the U.S. National Science Foundation under Grant No. DMI-9215246 and the U.S. Army Research Office under Grant No. DAAH04-94-G-0060. The ABAQUS finite element code was made available under an academic license to MIT from HKS, Inc. Pawtucket, R.I.

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Balasubramanian, S., Anand, L. Single crystal and polycrystal elasto-viscoplasticity: Application to earing in cup drawing of F.C.C. materials. Computational Mechanics 17, 209–225 (1996). https://doi.org/10.1007/BF00364824

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