User-friendly anisotropic hardening function with non-associated flow rule under the proportional loadings for BCC and FCC metals

2021 ◽  
pp. 104190
Author(s):  
Zhe Chen ◽  
Yue Wang ◽  
Yanshan Lou
Keyword(s):  
Flow Rule ◽  
Anisotropic Hardening ◽  
Fcc Metals ◽  
User Friendly ◽  
Associated Flow Rule

A non-quadratic pressure-sensitive constitutive model under non-associated flow rule with anisotropic hardening: Modeling and validation

2020 ◽  
Vol 135 ◽  
pp. 102808 ◽  
Author(s):  
Yong Hou ◽  
Junying Min ◽  
Thomas B. Stoughton ◽  
Jianping Lin ◽  
John E. Carsley ◽  
...  
Keyword(s):  
Constitutive Model ◽  
Flow Rule ◽  
Anisotropic Hardening ◽  
Pressure Sensitive ◽  
Associated Flow Rule

An Anisotropic Hardening Rule With Non-Associated Flow Rule for Pressure-Sensitive Materials

2009 ◽  
Author(s):  
K. S. Choi ◽  
J. Pan
Keyword(s):  
Cyclic Loading ◽  
Plastic Strain ◽  
Hysteresis Loops ◽  
Flow Rule ◽  
Loading Conditions ◽  
Anisotropic Hardening ◽  
Strength Differential ◽  
Hardening Rule ◽  
Pressure Sensitive ◽  
Associated Flow Rule

In this paper, cyclic plastic behaviors of pressure-sensitive materials based on an anisotropic hardening rule with two non-associated flow rules are examined. The Drucker-Prager pressure-sensitive yield function and the Mises plastic potential function are adopted to explore the cyclic plastic behaviors of pressure-sensitive materials or strength-differential materials. The constitutive relations are formulated for the initial loading and unloading/reloading processes based on the anisotropic hardening rule of Choi and Pan [1]. Non-associated flow rules are employed to derive closed-form stress-plastic strain relations under uniaxial cyclic loading conditions. The stress-plastic strain curves based on a conventional non-associated flow rule do not close, and show a significant ratcheting under uniaxial cyclic loading conditions. A new non-conventional non-associated flow rule is then formulated based on observed nearly closed hysteresis loops of pressure-sensitive materials. The stress-plastic strain curves based on the non-conventional non-associated flow rule show closed hysteresis loops under uniaxial cyclic loading conditions. The results indicate that the anisotropic hardening rule with the non-conventional non-associated flow rule describes well the strength-differential effect and the asymmetric closed hysteresis loops as observed in the uniaxial cyclic loading tests of pressure-sensitive materials.

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