Journal of the Korean Society for Industrial and Applied Mathematics
( Vol.21 NO.3 / 2017 )
Title
Development of the Hansel-Spittel constitutive model gazed from a probabilistic perspective(ENG)
Author
Kyunghoon Lee ,Ji Hoon Kim ,Beom-Soo Kang 
MSC
Publication
Page
155-165 Page
Abstract
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Summary
The Hansel-Spittel constitutive model requires a total of nine parameters for flow stress prediction. Typically,
the parameters are estimated by least squares methods for given tensile test measurements from a deterministic
perspective. In this research we took a different approach, a probabilistic viewpoint, to see through the
development of the Hansel-Spittel constitutive model. This perspective change showed that deterministic least
squares methods are closely related to statistical maximum likelihood methods via Gaussian noise assumption. More
intriguingly, this perspective shift revealed that the Hansel-Spittel constitutive model may leave out deterministic
trends in residuals despite nearly perfect agreement with measurements. With tensile test measurements of AA1070
aluminum alloy, we demonstrated this deficiency of the Hansel-Spittel constitutive model, suggesting room for
improvement.
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