scholarly journals Erratum: “Modelling of Cyclic Plasticity with Unified Constitutive Equations: Improvements in Simulating Normal and Anomalous Bauschinger Effects” (ASME Journal of Engineering Materials and Technology, 1980, 102, pp. 215–222)

1980 ◽  
Vol 102 (3) ◽  
pp. 263-263
Author(s):  
A. K. Miller
Keyword(s):  
Constitutive Equations ◽  
Cyclic Plasticity ◽  
Engineering Materials ◽  
Asme Journal

Modelling of Cyclic Plasticity With Unified Constitutive Equations: Improvements in Simulating Normal and Anomalous Bauschinger Effects

1980 ◽  
Vol 102 (2) ◽  
pp. 215-222 ◽  
Author(s):  
A. K. Miller
Keyword(s):  
Constitutive Equations ◽  
Work Hardening ◽  
Hysteresis Loops ◽  
Experimental Tests ◽  
Cyclic Hardening ◽  
Back Stress ◽  
Cyclic Softening ◽  
Cyclic Plasticity ◽  
Dislocation Loops ◽  
Work Hardening Coefficient

In simulating cyclic plasticity with several existing “unified” constitutive equations, the predicted hysteresis loops are “oversquare” with respect to experimentally-observed behavior. To eliminate this shortcoming in the constitutive equations developed by the present author, the work-hardening coefficient in the equation controlling the back stress (R) has been made a function of the back stress itself and the sign of the effective modulus-compensated stress σ/E – R. This improvement results in simulated hysteresis loops whose curvature closely resembles that in experimental tests. The improvement preserves all of the previously demonstrated capabilities such as cyclic hardening, cyclic hardening, cyclic softening, etc. The same equations can also simulate some unusual experimentally-observed Bauschinger effects involving local reversals in curvature. The curvature reversals in the simulations result from strain softening of the isotropic work-hardening variable in the equations. The physical significance of the behavior of the constitutive equations is discussed in terms of annihilation of previously-generated dislocation loops by reversing dislocations and experimentally-observed decreases in dislocation density and dissolution of cell walls upon stress reversal.

Modelling of Cyclic Plasticity and Viscoplasticity of Directionally Solified DZ125 Superalloy: Part I: Estimating the Parameters of Chaboche Constitutive Equations

2011 ◽  
Vol 295-297 ◽  
pp. 854-858
Author(s):  
Jie Qiong Li ◽  
Li Jun Wang
Keyword(s):  
Constitutive Model ◽  
Test Data ◽  
Creep Test ◽  
Constitutive Equations ◽  
Least Square ◽  
Cyclic Plasticity ◽  
Initial Material ◽  
Material Parameters ◽  
Cyclic Relaxation ◽  
Least Square Procedure

Cyclic plasticity and viscoplasticity of directionally solified superalloy, DZ125, have been described using the Chaboche unified constitutive model. A set of initial material parameters has been determined utilizing the monotonic, cyclic, relaxation and creep test data of DZ125 at 980°C, while an optimum set of material parameters has been obtained by means of least-square procedure.

Constitutive Equations for Engineering Materials, Volume I: Elasticity and Modeling

1983 ◽  
Vol 50 (3) ◽  
pp. 703-703 ◽  
Author(s):  
W. F. Chen ◽  
A. F. Saleeb ◽  
G. J. Dvorak
Keyword(s):  
Constitutive Equations ◽  
Engineering Materials
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