2013Applied Mechanics and MaterialsRequires access

Numerical Determination of Sheet Metal Forming Limit Based on a New Combined Model of M-K Theory and Shear Localization Criterion

Luen Chow Chan

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Abstract

A combined forming limit model of M-K theory and shear localization criterion is proposed in this paper to study the formability of 6016-T4 Aluminum alloy sheet, with the sheet material modeled by the Yld2000-2d yield function and two isotropic hardening models. The forming limit curve (FLC) of the material can be predicted well using the M-K model in the right region, and using the shear localization criterion in the left region. The critical plane strain of the material was computed using the M-K model and then used to determine the shear localization criterion. In fact, the combined model takes advantage of both of these theories. As a consequence, the results obtained from the proposed combined necking model seem to agree satisfactorily with those of the experiments.

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What this paper is about

A combined forming limit model of M-K theory and shear localization criterion is proposed in this paper to study the formability of 6016-T4 Aluminum alloy sheet, with the sheet material modeled by the Yld2000-2d yield function and two isotropic hardening models. The forming limit curve (FLC) of the material can be predicted well using the M-K model in the right region, and using the shear localization criterion in the left region. The critical plane strain of the material was computed using the M-K model and then used to determine the shear localization criterion. In fact, the combined model takes advantage of both of these theories. As a consequence, the results obtained from the proposed combined necking model seem to agree satisfactorily with those of the experiments.

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Available abstract

A combined forming limit model of M-K theory and shear localization criterion is proposed in this paper to study the formability of 6016-T4 Aluminum alloy sheet, with the sheet material modeled by the Yld2000-2d yield function and two isotropic hardening models. The forming limit curve (FLC) of the material can be predicted well using the M-K model in the right region, and using the shear localization criterion in the left region. The critical plane strain of the material was computed using the M-K model and then used to determine the shear localization criterion. In fact, the combined model takes advantage of both of these theories. As a consequence, the results obtained from the proposed combined necking model seem to agree satisfactorily with those of the experiments.

Key concepts: Necking, Sheet metal, Formability, Materials science, Shear (geology), Forming limit diagram, Isotropy, Limit (mathematics)

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