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

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HomeKey Engineering MaterialsKey Engineering Materials Vols. 651-653Implicit Stress Integration and Consistent Tangent...

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 6thorder 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.

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Periodical:

Key Engineering Materials (Volumes 651-653)

Pages:

558-563

DOI:

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

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Online since:

July 2015

Authors:

Hiroshi Hamasaki*, Fusahito Yoshida, Takeshi Uemori

Keywords:

Anisotropic Yield Function, Cyclic Plasticity, Fe Simulation, Stress Integration

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* - Corresponding Author

References

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