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Research Papers

A Constitutive Model Fitting Methodology for Ductile Metals Using Cold Upsetting Tests and Numeric Optimization Techniques

[+] Author and Article Information
Devon C. Hartlen

Department of Mechanical Engineering,
Dalhousie University,
Halifax, NS B3H 4R2, Canada
e-mail: Devon.Hartlen@Dal.ca

Darrel A. Doman

Department of Mechanical Engineering,
Dalhousie University,
Halifax, NS B3H 4R2, Canada
e-mail: Darrel.Doman@Dal.ca

1Corresponding author.

Contributed by the Materials Division of ASME for publication in the JOURNAL OF ENGINEERING MATERIALS AND TECHNOLOGY. Manuscript received April 3, 2018; final manuscript received May 30, 2018; published online July 18, 2018. Assoc. Editor: Tetsuya Ohashi.

J. Eng. Mater. Technol 141(1), 011008 (Jul 18, 2018) (8 pages) Paper No: MATS-18-1098; doi: 10.1115/1.4040592 History: Received April 03, 2018; Revised May 30, 2018

This work documents the development of a tool to perform automated parameter fitting of constitutive material models. Specific to this work is the fitting of a Swift hardening rule and isotropic linear plasticity model to aluminum 2024-T351, C36000 brass, and C10100 copper. Material characterization was conducted through the use of compressive, cold upsetting tests. A noncontact, optical displacement measurement system was applied to measure the axial and radial deformation of the test specimens. Nonlinear optimization techniques were then applied to tune a finite element model to match experimental results through the optimization of material model parameters as well as frictional coefficient. The result is a system, which can determine constitutive model parameters rapidly and without user interaction. While this tool provided material parameters for each material and model tested, the quality of the fit varied depending on how appropriate the constitutive model was to the material's actual plastic behavior. Aluminum's behavior proved to be an excellent match to the Swift hardening rule while the behavior of brass and copper was described better by the linear plasticity model.

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Figures

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Fig. 2

Fractured aluminum and brass specimens with a copper specimen crushed to 75% engineering strain

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Fig. 1

Experimental plastic stress–strain curves for all metals

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Fig. 3

FE model used by COMPCAM: (a) FE mesh geometry and (b) example effective stress distribution and deformed mesh

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Fig. 4

Flowchart of Compcam, a tool used for parameter identification

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Fig. 5

AA2024-T351 experimental and FEM results for optimized material parameters for both Swift and linear hardening rules: (a) Force–displacement and (b) radius–height (Barreling)

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Fig. 6

C36000 brass experimental and FEM results for optimized material parameters for both Swift and linear hardening rules: (a) Force–displacement and (b) radius–height (Barreling)

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Fig. 7

C10100 copper experimental and FEM results for optimized material parameters for both Swift and linear hardening rules: (a) Force–displacement and (b) radius–height (Barreling)

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Fig. 8

Constitutive model fits plotted against experimental data

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