Constitutive integration algorithms in metal warm forming

2nd International Conference on Frontiers of Materials Synthesis and Processing

Zhao, D.^1^2 ; Zhao, W.Y.^1^2 ; Jin, T.^1^2 ; Fang, H.Q.^1^2 ; Wang, Z.H.^1^2

College of Mechanics, Institute of Applied Mechanics and Biomedical Engineering, Taiyuan University of Technology, Taiyuan, China^1

Shanxi Key Laboratory of Material Strength and Structural Impact, Taiyuan University of Technology, Taiyuan, China^2

关键词: Computational process;    Constitutive integration algorithms;    Deformation gradients;    Forward euler methods;    Implicit integration algorithm;    Plastic incompressibility;    Temperature dependent;    Thermodynamic framework;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/493/1/012013/pdf
DOI  :  10.1088/1757-899X/493/1/012013

来源: IOP

【 摘 要 】

In this paper, two implicit integration algorithms are summarized in computational process, and an explicit numerical algorithm is presented for rate-dependent crystal plasticity in aluminium alloy warm forming, which is based on the forward Euler method. The plastic incompressibility and numerical accuracy are discussed in these algorithms. In this model, the plastic deformation gradient is chosen as controlling variable. The thermal deformation gradient representing the thermal history is introduced, and the plastic dissipation and the different temperature changing rates are considered in finite deformation computation. The expression of temperature dependent resolved stress is deduced form the thermodynamic framework. The mechanical behavior of Al polycrystalline in warm forming is computed and compared with different algorithms.