Plastic anisotropic constitutive equation based on stress-rate dependency related with non-associated flow rule for bifurcation analysis

Tetsuo Oya, J. Yanagimoto, K. Ito, G. Uemura, N. Mori

Research output: Contribution to journalArticle

Abstract

In metal forming, progress in material models is required to construct a general and reliable fracture prediction framework because of the increased use of advanced materials and growing demand for higher prediction accuracy. In this study, a fracture prediction framework based on bifurcation theory is constructed. A novel material model based on the stress-rate dependence related to a non-associated flow rule is presented. This model is based on a non-associated flow rule with an arbitrary higher-order yield function and a plastic potential function for any anisotropic material. This formulation is combined with the stress-rate-dependent plastic constitutive equation, which is known as the Ito-Goya rule, to construct a generalized plastic constitutive model in which non-normality and non-associativity are reasonably included. Then, by adopting three-dimensional bifurcation theory, which is referred to the 3D theory, a new theoretical framework for fracture prediction based on the initiation of a shear band is constructed. Using virtual material data, a numerical simulation is carried out to produce a fracture limit diagram, which is used to investigate the characteristics of the proposed methodology.

Original languageEnglish
Article number012021
JournalJournal of Physics: Conference Series
Volume896
Issue number1
DOIs
Publication statusPublished - 2017 Sep 27

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constitutive equations
plastics
predictions
metal forming
diagrams
methodology
shear
formulations
simulation

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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Plastic anisotropic constitutive equation based on stress-rate dependency related with non-associated flow rule for bifurcation analysis. / Oya, Tetsuo; Yanagimoto, J.; Ito, K.; Uemura, G.; Mori, N.

In: Journal of Physics: Conference Series, Vol. 896, No. 1, 012021, 27.09.2017.

Research output: Contribution to journalArticle

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