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TECHNICAL PAPERS

Approaches for Model Validation: Methodology and Illustration on a Sheet Metal Flanging Process

[+] Author and Article Information
Thaweepat Buranathiti, Jian Cao, Wei Chen

Department of Mechanical Engineering, Northwestern University, Evanston, IL 60208

Lusine Baghdasaryan

Department of Mechanical & Industrial Engineering, University of Illinois at Chicago, Chicago, IL 60607

Z. Cedric Xia

Ford Scientific Research Laboratory, Dearborn, MI 48121

J. Manuf. Sci. Eng 128(2), 588-597 (May 09, 2006) (10 pages) doi:10.1115/1.1807852 History: Received January 03, 2004; Revised May 24, 2004; Online May 09, 2006
Copyright © 2006 by ASME
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References

Figures

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The flow chart for model validation processes. Note that MCS stands for Monte Carlo simulation and FE stands for finite element
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An experimental stress–strain curve of one sample from uniaxial tensile tests
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Relations between the strain-hardening exponent (n), the strength coefficient (K), and the yield stress (Y) obtained from the sample (mild) steel sheets
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The computational results at different setting points associated with the variation of material characteristics for creating metamodels: (a) combined-hardening model and (b) isotropic hardening model. (Note that due to scale the plots look similar but indeed they are different in details)
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The graphical comparison between the experimental and predicted results at the corresponding design points
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The distributions of model predictions associated with uncertainties (the solid curves), the fitted normal distribution (the dashed curves), 95% confidence intervals (the shorter vertical solid lines), and the corresponding experimental results (the taller vertical dashed lines) at the design point (3,30). Note that the results of model 1 (a) show in thicker lines compared to that of model 2 (b).
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The distributions of model predictions associated with uncertainties (the solid curves), the fitted normal distribution (the dashed curves), 95% confidence intervals (the shorter vertical solid lines), and the corresponding experimental results (the taller vertical dashed lines) at each design point. Note that the results of model 1 (combined hardening) show in thicker lines compared to that of model 2 (isotropic hardening).
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Illusion of a two-sided confidence interval
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Schematic of springback, where L is the flange length, g is the gap between the die and the punch, θO is the flange angle at the fully loaded configuration, θf is that of the unloaded configuration, and Δθ is the springback angle

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