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

doi:10.4028/www.scientific.net/KEM.651-653.558

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 proceeding › Conference 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 language	English
Title of host publication	Key Engineering Materials
Editors	Aldo Ofenheimer, Cecilia Poletti, Daniela Schalk-Kitting, Christof Sommitsch
Publisher	Trans Tech Publications Ltd
Pages	558-563
Number of pages	6
ISBN (Print)	9783038354710
DOIs	https://doi.org/10.4028/www.scientific.net/KEM.651-653.558
Publication status	Published - Jan 1 2015
Externally published	Yes
Event	18th International ESAFORM Conference on Material Forming, ESAFORM 2015 - Graz, Austria Duration: Apr 15 2015 → Apr 17 2015

Publication series

Name	Key Engineering Materials
Volume	651-653
ISSN (Print)	1013-9826
ISSN (Electronic)	1662-9795

Other

Other	18th International ESAFORM Conference on Material Forming, ESAFORM 2015
Country	Austria
City	Graz
Period	4/15/15 → 4/17/15

Keywords

Anisotropic yield function
Cyclic plasticity
FE simulation
Stress integration

ASJC Scopus subject areas

Materials Science(all)
Mechanics of Materials
Mechanical Engineering

Access to Document

10.4028/www.scientific.net/KEM.651-653.558

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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

Implicit stress integration and consistent tangent matrix for Yoshida's 6th order polynomial yield function combined with yoshida-uemori kinematic hardening rule. / Hamasaki, Hiroshi; Yoshida, Fusahito; Uemori, Takeshi.

Key Engineering Materials. ed. / Aldo Ofenheimer; Cecilia Poletti; Daniela Schalk-Kitting; Christof Sommitsch. Trans Tech Publications Ltd, 2015. p. 558-563 (Key Engineering Materials; Vol. 651-653).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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. Key Engineering Materials, vol. 651-653, Trans Tech Publications Ltd, pp. 558-563, 18th International ESAFORM Conference on Material Forming, ESAFORM 2015, Graz, Austria, 4/15/15. https://doi.org/10.4028/www.scientific.net/KEM.651-653.558

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

Hamasaki, Hiroshi ; Yoshida, Fusahito ; Uemori, Takeshi. / Implicit stress integration and consistent tangent matrix for Yoshida's 6th order polynomial yield function combined with yoshida-uemori kinematic hardening rule. Key Engineering Materials. editor / Aldo Ofenheimer ; Cecilia Poletti ; Daniela Schalk-Kitting ; Christof Sommitsch. Trans Tech Publications Ltd, 2015. pp. 558-563 (Key Engineering Materials).

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