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
PublisherTrans Tech Publications Ltd
Pages558-563
Number of pages6
Volume651-653
ISBN (Print)9783038354710
DOIs
Publication statusPublished - 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)10139826

Other

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

Fingerprint

Hardening
Kinematics
Polynomials
Deep drawing
Tensors
Aluminum alloys
Plastic deformation
Experiments

Keywords

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

ASJC Scopus subject areas

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

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 Key Engineering Materials (Vol. 651-653, 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. Vol. 651-653 Trans Tech Publications Ltd, 2015. p. 558-563 (Key Engineering Materials; Vol. 651-653).

Research output: Chapter in Book/Report/Conference proceedingConference 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 Key Engineering Materials. vol. 651-653, 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, 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. Vol. 651-653 Trans Tech Publications Ltd, 2015. pp. 558-563 (Key Engineering Materials).
@inproceedings{055fef1379c3492087b86659949c9214,
title = "Implicit stress integration and consistent tangent matrix for Yoshida's 6th order polynomial yield function combined with yoshida-uemori kinematic hardening rule",
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.",
keywords = "Anisotropic yield function, Cyclic plasticity, FE simulation, Stress integration",
author = "Hiroshi Hamasaki and Fusahito Yoshida and Takeshi Uemori",
year = "2015",
doi = "10.4028/www.scientific.net/KEM.651-653.558",
language = "English",
isbn = "9783038354710",
volume = "651-653",
series = "Key Engineering Materials",
publisher = "Trans Tech Publications Ltd",
pages = "558--563",
booktitle = "Key Engineering Materials",

}

TY - GEN

T1 - Implicit stress integration and consistent tangent matrix for Yoshida's 6th order polynomial yield function combined with yoshida-uemori kinematic hardening rule

AU - Hamasaki, Hiroshi

AU - Yoshida, Fusahito

AU - Uemori, Takeshi

PY - 2015

Y1 - 2015

N2 - 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.

AB - 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.

KW - Anisotropic yield function

KW - Cyclic plasticity

KW - FE simulation

KW - Stress integration

UR - http://www.scopus.com/inward/record.url?scp=84944197724&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84944197724&partnerID=8YFLogxK

U2 - 10.4028/www.scientific.net/KEM.651-653.558

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

M3 - Conference contribution

SN - 9783038354710

VL - 651-653

T3 - Key Engineering Materials

SP - 558

EP - 563

BT - Key Engineering Materials

PB - Trans Tech Publications Ltd

ER -