Implicit stress integration and consistent tangent matrix for Yoshida's 6th order polynomial yield function combined with yoshida-uemori kinematic hardening rule

Hiroshi Hamasaki, Fusahito Yoshida, Takeshi Uemori

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

This paper describes fully implicit stress integration scheme for Yoshida's 6th order yield function combined with Yoshida-Uemori kinematic hardening model and its consistent tangent matrix. Cutting plane method was employed for accurate integrations of stress and state variables appeared in Yoshida-Uemori model. In the present scheme, equivalent plastic strain, stress tensor and all the state variables are treated as independent variables in order to handle the 6th order yield function which is not the J2 yield function, and the equilibriums for each variables are solved for the stress integration. Subsequently, exact consistent tangent matrix which is necessary for implicit static finite element simulation was obtained. The proposed scheme was implemented into finite element code LS-DYNA and deep drawing process for aluminum alloy sheet was calculated. The earing appearance after drawing was compared with the experiment.

Original languageEnglish
Title of host publicationKey Engineering Materials
EditorsAldo Ofenheimer, Cecilia Poletti, Daniela Schalk-Kitting, Christof Sommitsch
PublisherTrans Tech Publications Ltd
Pages558-563
Number of pages6
ISBN (Print)9783038354710
DOIs
Publication statusPublished - Jan 1 2015
Externally publishedYes
Event18th International ESAFORM Conference on Material Forming, ESAFORM 2015 - Graz, Austria
Duration: Apr 15 2015Apr 17 2015

Publication series

NameKey Engineering Materials
Volume651-653
ISSN (Print)1013-9826
ISSN (Electronic)1662-9795

Other

Other18th International ESAFORM Conference on Material Forming, ESAFORM 2015
CountryAustria
CityGraz
Period4/15/154/17/15

Keywords

  • Anisotropic yield function
  • Cyclic plasticity
  • FE simulation
  • Stress integration

ASJC Scopus subject areas

  • Materials Science(all)
  • Mechanics of Materials
  • Mechanical Engineering

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  • Cite this

    Hamasaki, H., Yoshida, F., & Uemori, T. (2015). Implicit stress integration and consistent tangent matrix for Yoshida's 6th order polynomial yield function combined with yoshida-uemori kinematic hardening rule. In A. Ofenheimer, C. Poletti, D. Schalk-Kitting, & C. Sommitsch (Eds.), Key Engineering Materials (pp. 558-563). (Key Engineering Materials; Vol. 651-653). Trans Tech Publications Ltd. https://doi.org/10.4028/www.scientific.net/KEM.651-653.558