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DEVELOPMENT OF THE HANSEL-SPITTEL CONSTITUTIVE MODEL GAZED FROM A PROBABILISTIC PERSPECTIVE

  • LEE, KYUNGHOON (DEPARTMENT OF AEROSPACE ENGINEERING, PUSAN NATIONAL UNIVERSITY) ;
  • KIM, JI HOON (SCHOOL OF MECHANICAL ENGINEERING, PUSAN NATIONAL UNIVERSITY) ;
  • KANG, BEOM-SOO (DEPARTMENT OF AEROSPACE ENGINEERING, PUSAN NATIONAL UNIVERSITY)
  • Received : 2017.06.14
  • Accepted : 2017.07.19
  • Published : 2017.09.25

Abstract

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.

Acknowledgement

Supported by : Pusan National University

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