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 |
| Publisher | Trans Tech Publications Ltd |
| Pages | 558-563 |
| Number of pages | 6 |
| Volume | 651-653 |
| ISBN (Print) | 9783038354710 |
| DOIs | |
| Publication status | Published - 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) | 10139826 |
Other
| Other | 18th International ESAFORM Conference on Material Forming, ESAFORM 2015 |
|---|---|
| Country | Austria |
| City | Graz |
| Period | 4/15/15 → 4/17/15 |
Fingerprint
Keywords
- Anisotropic yield function
- Cyclic plasticity
- FE simulation
- Stress integration
ASJC Scopus subject areas
- Materials Science(all)
- Mechanics of Materials
- Mechanical Engineering
Cite this
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 proceeding › Conference contribution
}
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 -